We demonstrate that the commonly known concept which treats solitons as nonsingular solutions produced by the interplay of nonlinear self-attraction and linear dispersion may be extended to include modes with a relatively weak singularity at the central point, which keeps their integral norm converg...

[Phys. Rev. E 101, 012211] Published Fri Jan 17, 2020

]]>We examine the equilibrium fluctuation spectrum of a semiflexible filament segment in a network. The effect of this cross linking is to modify the mechanical boundary conditions at the end of the filament. We consider the effect of both tensile stress in the network and its elastic compliance. Most ...

[Phys. Rev. E 101, 012408] Published Fri Jan 17, 2020

]]>The classical theory of liquid crystal elasticity as formulated by Oseen and Frank describes the (orientable) optic axis of these soft materials by a director $\mathit{n}$. The ground state is attained when $\mathit{n}$ is uniform in space; all other states, which have a nonvanishing gradient $\mathbf{\nabla}\mathit{n}$, are distorted. This pape...

[Phys. Rev. E 101, 012703] Published Fri Jan 17, 2020

]]>Monte Carlo simulations are used to study a two-dimensional lattice model of particles interacting through short-range attraction and long-range repulsion. Adsorption of particles on a boundary line and the distribution of particle clusters near the boundary were investigated while varying several parameters. The authors find a rich variety of patterns that are qualitatively different from those in liquids with simpler interactions.

[Phys. Rev. E 101, 012801] Published Fri Jan 17, 2020

]]>The Navier-Stokes transport coefficients of multicomponent granular suspensions at moderate densities are obtained in the context of the (inelastic) Enskog kinetic theory. The suspension is modeled as an ensemble of solid particles where the influence of the interstitial gas on grains is via a visco...

[Phys. Rev. E 101, 012904] Published Fri Jan 17, 2020

]]>The stability criterion for the magnetic separation of rare-earth ions is studied, taking dysprosium Dy(iii) ions as an example. Emphasis is placed on quantifying the factors that limit the desired high enrichment. During magnetic separation, a layer enriched in Dy(iii) ions is generated via the sur...

[Phys. Rev. E 101, 013109] Published Fri Jan 17, 2020

]]>In this paper, one of the major shortcomings of the conventional numerical approaches is alleviated by introducing the probabilistic nature of molecular transitions into the framework of classical computational electrodynamics. The main aim is to develop a numerical method which is capable of captur...

[Phys. Rev. E 101, 013308] Published Fri Jan 17, 2020

]]>The upcoming $10\u2013100$ PW laser facilities may deliver laser pulses with unprecedented intensity of ${10}^{22}\u2013{10}^{25}\phantom{\rule{0.28em}{0ex}}\mathrm{W}\phantom{\rule{0.16em}{0ex}}{\mathrm{cm}}^{-2}$. Such laser pulses interacting with ultrarelativistic electrons accelerated in plasma can trigger various nonlinear quantum electrodynamic processes. Usually, ion motion is expected to be ...

[Phys. Rev. E 101, 011201(R)] Published Thu Jan 16, 2020

]]>Optimal entrainment of a quantum nonlinear oscillator to a periodically modulated weak harmonic drive is studied in the semiclassical regime. By using the semiclassical phase-reduction theory recently developed for quantum nonlinear oscillators [Y. Kato, N. Yamamoto, and H. Nakao, Phys. Rev. Res. **1**,...

[Phys. Rev. E 101, 012210] Published Thu Jan 16, 2020

]]>The unique pressure exerted by active particles—the “swim” pressure—has proven to be a useful quantity in explaining many of the seemingly confounding behaviors of active particles. However, its use has also resulted in some puzzling findings including an extremely negative surface tension between p...

[Phys. Rev. E 101, 012604] Published Thu Jan 16, 2020

]]>Multiple experiments on active systems consider oriented active suspensions on substrates or in chambers tightly confined along one direction. The theories of polar and apolar phases in such geometries were considered in A. Maitra *et al.* [Phys. Rev. Lett. **124**, 028002 (2020)] and A. Maitra *et al.* [Pr...

[Phys. Rev. E 101, 012605] Published Thu Jan 16, 2020

]]>Using molecular dynamical simulations, compressional shocks in two-dimensional (2D) dusty plasmas are quantitatively investigated under various conditions. A universal relationship between the thermal and the drift velocities after shocks is discovered in 2D Yukawa systems. Using the equation of sta...

[Phys. Rev. E 101, 013203] Published Thu Jan 16, 2020

]]>This work addresses the construction of a reduced-order model based on a multigroup maximum entropy formulation for application to high-enthalpy nonequilibrium flows. The method seeks a piecewise quadratic representation of the internal energy-state populations by lumping internal energy levels into...

[Phys. Rev. E 101, 013307] Published Thu Jan 16, 2020

]]>Kinetic Ising models on the square lattice with both nearest-neighbor interactions and self-interaction are studied for the cases of random sequential updating and parallel updating. The equilibrium phase diagrams and critical dynamics are studied using Monte Carlo simulations and analytic approxima...

[Phys. Rev. E 101, 012122] Published Wed Jan 15, 2020

]]>Films made from random nanowire arrays are an attractive choice for electronics requiring flexible transparent conductive films. However, thus far there has been no unified theory for predicting their electrical conductivity. In particular, the effects of orientation distribution on network conducti...

[Phys. Rev. E 101, 012304] Published Wed Jan 15, 2020

]]>Models based on surfactant-driven instabilities have been employed to describe pattern formation by swarming bacteria. However, by definition, such models cannot account for the effect of bacterial sensing and decision making. Here we present a more complete model for bacterial pattern formation whi...

[Phys. Rev. E 101, 012407] Published Wed Jan 15, 2020

]]>An analytical theory is developed for acoustic streaming induced by an acoustic wave field inside and outside a spherical fluid particle, which can be a liquid droplet or a gas bubble. The particle is assumed to undergo the monopole (pulsation) and the dipole (translation) oscillation modes. The dis...

[Phys. Rev. E 101, 013108] Published Wed Jan 15, 2020

]]>We study phase transitions of the Potts model on the centered-triangular lattice with two types of couplings, namely, $K$ between neighboring triangular sites, and $J$ between the centered and the triangular sites. Results are obtained by means of a finite-size analysis based on numerical transfer-matri...

[Phys. Rev. E 101, 012118] Published Tue Jan 14, 2020

]]>The properties of the random sequential adsorption of objects of various shapes on simple three-dimensional (3D) cubic lattice are studied numerically by means of Monte Carlo simulations. Depositing objects are “lattice animals,” made of a certain number of nearest-neighbor sites on a lattice. The a...

[Phys. Rev. E 101, 012119] Published Tue Jan 14, 2020

]]>The Fokker-Planck equation provides a complete statistical description of a particle undergoing random motion in a solvent. In the presence of Lorentz force due to an external magnetic field, the Fokker-Planck equation picks up a tensorial coefficient, which reflects the anisotropy of the particle's...

[Phys. Rev. E 101, 012120] Published Tue Jan 14, 2020

]]>Electrostatic interactions make a large contribution to solvation free energy in ionic fluids such as electrolytes and colloidal dispersions. The electrostatic contribution to solvation free energy has been ascribed to the self-energy of a charged particle. Here we apply a variational field theory b...

[Phys. Rev. E 101, 012121] Published Tue Jan 14, 2020

]]>The Peregrine soliton is often considered as a prototype of rogue waves. After recent advances in the semiclassical limit of the one-dimensional focusing nonlinear Schrödinger equation [M. Bertola and A. Tovbis, Commun. Pure Appl. Math. **66**, 678 (2013)] this conjecture can be seen from another perspe...

[Phys. Rev. E 101, 012209] Published Tue Jan 14, 2020

]]>In every network, a distance between a pair of nodes can be defined as the length of the shortest path connecting these nodes, and therefore one may speak of a ball, its volume, and how it grows as a function of the radius. Spatial networks tend to feature peculiar volume scaling functions, as well ...

[Phys. Rev. E 101, 012303] Published Tue Jan 14, 2020

]]>We study the annealing and rejuvenation behavior of a two-dimensional amorphous solid model under oscillatory shear. We show that, depending on the cooling protocol used to create the initial configuration, the mean potential energy can either decrease or increase under subyield oscillatory shear. F...

[Phys. Rev. E 101, 012603] Published Tue Jan 14, 2020

]]>An alternative analysis approach, namely, orthogonal detrended fluctuation analysis (ODFA), is proposed to quantify the long-range correlation exponent. This method uses an orthogonal polynomial to attenuate any trends and quantify the (auto-) correlations in the data. The method is tested using num...

[Phys. Rev. E 101, 010201(R)] Published Mon Jan 13, 2020

]]>We compare glassy dynamics in two liquids that differ in the form of their interaction potentials. Both systems have the same repulsive interactions but one has also an attractive part in the potential. These two systems exhibit very different dynamics despite having nearly identical pair correlatio...

[Phys. Rev. E 101, 010602(R)] Published Mon Jan 13, 2020

]]>In this work, we study the performance of a quasistatic and quantum-adiabatic magnetic Otto cycles with a working substance composed of a single graphene quantum dot modeled by the continuum approach with the use of the zigzag boundary condition. Modulating an external or perpendicular magnetic fiel...

[Phys. Rev. E 101, 012116] Published Mon Jan 13, 2020

]]>An approach to obtain the structural properties of additive binary hard-sphere mixtures is presented. Such an approach, which is a nontrivial generalization of the one recently used for monocomponent hard-sphere fluids [S. Pieprzyk, A. C. Brańka, and D. M. Heyes, Phys. Rev. E **95**, 062104 (2017)], com...

[Phys. Rev. E 101, 012117] Published Mon Jan 13, 2020

]]>Spontaneous formation of transverse patterns is ubiquitous in nonlinear dynamical systems of all kinds. An aspect of particular interest is the active control of such patterns. In nonlinear optical systems this can be used for all-optical switching with transistorlike performance, for example, reali...

[Phys. Rev. E 101, 012207] Published Mon Jan 13, 2020

]]>We analyze the stationary current of bosonic carriers in the Bose-Hubbard chain of length $L$ where the first and the last sites of the chain are attached to reservoirs of Bose particles acting as a particle source and sink, respectively. The analysis is carried out by using the pseudoclassical approa...

[Phys. Rev. E 101, 012208] Published Mon Jan 13, 2020

]]>The conformation of DNA inside bacteriophages is of paramount importance for understanding packaging and ejection mechanisms. Models describing the structure of the confined macromolecule have depicted highly ordered conformations, such as spooled or toroidal arrangements that focus on reproducing e...

[Phys. Rev. E 101, 012406] Published Mon Jan 13, 2020

]]>The prevailing theories describing DNA confinement in a nanochannel are predicated on the assumption that wall-DNA electrostatic interactions are sufficiently short-ranged such that the problem can be mapped to an equivalent neutral polymer confined by hard walls with an appropriately reduced effect...

[Phys. Rev. E 101, 012501] Published Mon Jan 13, 2020

]]>We analyze the flow curves of a two-dimensional assembly of granular particles which are interacting via frictional contact forces. For packing fractions slightly below jamming, the fluid undergoes a large scale instability, implying a range of stress and strain rates where no stationary flow can ex...

[Phys. Rev. E 101, 012602] Published Mon Jan 13, 2020

]]>It has been observed that the direction in which a sand dune extends its crest line depends on seasonal variation of wind direction; when the variation is small, the crest line develops more or less perpendicularly to the mean wind direction to form a transverse dune with some undulation. In the cas...

[Phys. Rev. E 101, 012903] Published Mon Jan 13, 2020

]]>The divergence of the correlation length $\xi $ at criticality is an important phenomenon of percolation in two-dimensional systems. Substantial speed-ups to the calculation of the percolation threshold and component distribution have been achieved by utilizing disjoint sets, but existing algorithms of t...

[Phys. Rev. E 101, 013306] Published Mon Jan 13, 2020

]]>The kinetics of contact processes are determined by the interplay among local mass transfer mechanisms, spatial heterogeneity, and segregation. Determining the macroscopic behavior of a wide variety of phenomena across the disciplines requires linking reaction times to the statistical properties of ...

[Phys. Rev. E 101, 012114] Published Fri Jan 10, 2020

]]>For a quantum system in a macroscopically large volume $V$, prepared in a pure state and subject to maximally noisy or ergodic unitary dynamics, the reduced density matrix of any sub-system $v\ll V$ is almost surely totally mixed. We show that the fluctuations around this limiting value, evaluated accordin...

[Phys. Rev. E 101, 012115] Published Fri Jan 10, 2020

]]>Mixing by cutting and shuffling can be mathematically described by the dynamics of piecewise isometries (PWIs), higher dimensional analogs of one-dimensional interval exchange transformations. In a two-dimensional domain under a PWI, the exceptional set, $\overline{E}$, which is created by the accumulation of c...

[Phys. Rev. E 101, 012204] Published Fri Jan 10, 2020

]]>Optomagnonics supports optical modes with high-quality optical factors and strong photon-magnon interaction on the scale of micrometers. These novel features provide an effective way to modulate the electromagnetic field in optical microcavities. Here in this work, we studied the magnon-induced chao...

[Phys. Rev. E 101, 012205] Published Fri Jan 10, 2020

]]>The beneficial role of noise in promoting species coexistence and preventing extinction has been recognized in theoretical ecology, but previous studies were mostly concerned with low-dimensional systems. We investigate the interplay between noise and nonlinear dynamics in real-world complex mutuali...

[Phys. Rev. E 101, 012206] Published Fri Jan 10, 2020

]]>Centrality, which quantifies the importance of individual nodes, is among the most essential concepts in modern network theory. As there are many ways in which a node can be important, many different centrality measures are in use. Here, we concentrate on versions of the common *betweenness* and *close...*

[Phys. Rev. E 101, 012302] Published Fri Jan 10, 2020

]]>Direct observation of a rotating detonation engine combustion chamber has enabled the extraction of the kinematics of its detonation waves. These records exhibit a rich set of instabilities and bifurcations arising from the interaction of coherent wave fronts and global gain dynamics. We develop a m...

[Phys. Rev. E 101, 013106] Published Fri Jan 10, 2020

]]>We construct a multifidelity framework for the kinematic parameter optimization of flapping airfoil. We employ multifidelity Gaussian process regression and Bayesian optimization to effectively synthesize the aerodynamic performance of the flapping airfoil with the kinematic parameters under multire...

[Phys. Rev. E 101, 013107] Published Fri Jan 10, 2020

]]>The microscopic model of ionic liquids presented in this work reproduces many features previously observed in experiments and simulations. The effective mean-field theory obtained from this model shows that ionic pairs lead to short-range charge oscillations near an interface and that more complex clusters can lead to long-ranged oscillations.

[Phys. Rev. E 101, 010601(R)] Published Thu Jan 09, 2020

]]>We analyze the annihilation of equally charged particles based on the Brownian motion model built by Dyson for $N$ particles with charge $q$ interacting via the log-Coulomb potential on the unitary circle at a reduced inverse temperature $\beta $, defined as $\beta ={q}^{2}/\left({k}_{B}T\right)$. We derive an analytical approach to desc...

[Phys. Rev. E 101, 012112] Published Thu Jan 09, 2020

]]>An approach was developed to describe the first passage time (FPT) in multistep stochastic processes with discrete states governed by a master equation (ME). The approach is an extension of the totally absorbing boundary approach given for calculation of FPT in one-step processes [N. G. Van Kampen, *...*

[Phys. Rev. E 101, 012113] Published Thu Jan 09, 2020

]]>Recent progress on multiplex networks has provided a powerful way to abstract the diverse interaction of a network system with multiple layers. In this paper, we show that a multiplex structure can greatly affect the spread of an epidemic driven by traffic dynamics. One of the interesting findings i...

[Phys. Rev. E 101, 012301] Published Thu Jan 09, 2020

]]>The influence of electrostatic conditions (salt concentration of the solution and vesicle surface charge density) on the size distribution of self-assembled giant unilamellar vesicles (GUVs) is considered. The membranes of GUVs are synthesized by a mixture of dioleoylphosphatidylglycerol and dioleoy...

[Phys. Rev. E 101, 012404] Published Thu Jan 09, 2020

]]>Apart from intrinsic stochastic variability, gene expression also involves stochastic reaction delay arising from heterogeneity and fluctuation processes, which can affect the efficiency of reactants (e.g., mRNA or protein) in exploring their environments. In contrast to the former that has been ext...

[Phys. Rev. E 101, 012405] Published Thu Jan 09, 2020

]]>In this work, we model and simulate the shape evolution of critically charged droplets, from the initial spherical shape to the charge emission and back to the spherical shape. The shape deformation is described using the viscous correction for viscous potential flow model, which is a potential flow...

[Phys. Rev. E 101, 013105] Published Thu Jan 09, 2020

]]>In this paper, we develop a conservative phase-field method for interface-capturing among *N* $(N\ge 2)$ immiscible fluids, the evolution of the fluid-fluid interface is captured by conservative Allen-Cahn equation (CACE), and the interface force of *N* immiscible fluids is incorporated to Navier-Stokes equa...

[Phys. Rev. E 101, 013305] Published Thu Jan 09, 2020

]]>In a recent paper, E. J. Janse van Rensburg has presented computational data enumerating the conformations of closed circular self-avoiding lattice polymers with knots confined in a cubic box, and claimed to have observed a negative osmotic pressure in the system. The purpose of this comment is to s...

[Phys. Rev. E 101, 016501] Published Thu Jan 09, 2020

]]>The free energy of a model of uniformly weighted lattice knots of length $n$ and knot type $K$ confined to a lattice cube of side length $L-1$ is given by ${F}_{L}\left(\varphi \right)=-\frac{1}{V}log{p}_{n,L}\left(K\right)$, where $V={L}^{3}$ and where $\varphi =n/V$ is the concentration of monomers of the lattice knot in the confining cube. The limiting free energy of...

[Phys. Rev. E 101, 016502] Published Thu Jan 09, 2020

]]>We examine a quantum Otto engine with a harmonic working medium consisting of two particles to explore the use of wave function symmetry as an accessible resource. It is shown that the bosonic system displays enhanced performance when compared to two independent single particle engines, while the fe...

[Phys. Rev. E 101, 012110] Published Wed Jan 08, 2020

]]>I study the equilibrium and nonequilibrium dynamics of a conservative and reversible Q2R cellular automata. This system exhibits a configuration space with ${2}^{2N}$ states, which grows with the size of the system. In this context, for small size, the phase space has fixed points and cycles. Through numer...

[Phys. Rev. E 101, 012111] Published Wed Jan 08, 2020

]]>Noise and fluctuations play vital roles in signal transduction in cells. Various numerical techniques for its simulation have been proposed, most of which are not efficient in cellular networks with a wide spectrum of timescales. In this paper, based on a recently developed variational technique, lo...

[Phys. Rev. E 101, 012402] Published Wed Jan 08, 2020

]]>We examine the behavior of supercoiled DNA minicircles containing between 200 and 400 base-pairs, also named microDNA, in which supercoiling favors thermally assisted DNA denaturation bubbles of nanometer size and controls their lifetime. Mesoscopic modeling and accelerated dynamics simulations allo...

[Phys. Rev. E 101, 012403] Published Wed Jan 08, 2020

]]>In the present paper, we theoretically study the drag force on nanoparticles in the free-molecule regime. It has been widely assumed that the particle temperature is equal to the gas media temperature in the open literature. However, this assumption can be invalid in some real applications. Based on...

[Phys. Rev. E 101, 013103] Published Wed Jan 08, 2020

]]>We consider a formulation for the Hopf functional differential equation which governs statistical solutions of the Navier-Stokes equations. By introducing an exponential operator with a functional derivative, we recast the Hopf equation as an integro-differential functional equation by the Duhamel p...

[Phys. Rev. E 101, 013104] Published Wed Jan 08, 2020

]]>Absorbing boundary conditions are presented for three-dimensional time-dependent Schrödinger-type of equations as a means to reduce the cost of the quantum-mechanical calculations. The boundary condition is first derived from a semidiscrete approximation of the Schrödinger equation with the advantag...

[Phys. Rev. E 101, 013304] Published Wed Jan 08, 2020

]]>The article by Riera-Campeny, Mehboudi, Pons, and Sanpera [Phys. Rev. E **99**, 032126 (2019)] studies heat rectification in a network of harmonic oscillators which is periodically driven. Both the title and introduction stress the quantum nature of the system. Here we show that the results are more gen...

[Phys. Rev. E 101, 016101] Published Wed Jan 08, 2020

]]>We propose a three-qubit setup for the implementation of a variety of quantum thermal machines where all heat fluxes and work production can be controlled. An important configuration that can be designed is that of an absorption refrigerator, extracting heat from the coldest reservoir without the ne...

[Phys. Rev. E 101, 012109] Published Tue Jan 07, 2020

]]>Brownian ratchets are shown to feature a nontrivial vanishing-noise limit where the dynamics is reduced to a stochastic alternation between two deterministic circle maps (quasideterministic ratchets). Motivated by cooperative dynamics of molecular motors, here we solve exactly the problem of two int...

[Phys. Rev. E 101, 012203] Published Tue Jan 07, 2020

]]>We develop a dynamic mean-field theory for polar active particles that interact through a self-generated field, in particular one generated through emitting a chemical signal. While being a form of chemotactic response, it is different from conventional chemotaxis in that particles discontinuously c...

[Phys. Rev. E 101, 012601] Published Tue Jan 07, 2020

]]>Slow dynamic nonlinearity describes a poorly understood, creeplike phenomena that occurs in brittle composite materials such as rocks and cement. It is characterized by a drop in stiffness induced by a mechanical conditioning, followed by a log(time) recovery. A consensus theoretical understanding o...

[Phys. Rev. E 101, 012901] Published Tue Jan 07, 2020

]]>Slow dynamic nonlinearity is ubiquitous amongst brittle materials, such as rocks and concrete, with cracked microstructures. A defining feature of the behavior is the logarithmic-in-time recovery of stiffness after a mechanical conditioning. Materials observed to exhibit slow dynamics are sufficient...

[Phys. Rev. E 101, 012902] Published Tue Jan 07, 2020

]]>A viscoelastic solid sheet fed from a certain height towards a rigid horizontal plane folds on itself provided that there is no slip. This phenomenon commonly occurs in the manufacturing process of textile and paper products. In this paper we apply a particle dynamics model to investigate this pheno...

[Phys. Rev. E 101, 013002] Published Tue Jan 07, 2020

]]>Transport of water in narrow nanochannels as a single-file chain is involved in various biological activities and nanofluidic applications. However, although the consistent dipole orientation of the water molecules is intensively studied, its effect upon the transport behavior is still unknown. In t...

[Phys. Rev. E 101, 010101(R)] Published Mon Jan 06, 2020

]]>By using transfer-matrix method we compute survival probabilities for the directed percolation problem on strips of a square lattice, and get very precise estimates of their Yang-Lee zeros lying closest to the real axis in the complex plane of occupation probability. This allows us to get accurate v...

[Phys. Rev. E 101, 012107] Published Mon Jan 06, 2020

]]>Only recently has the essential role of the percolation critical point been considered on the dynamical properties of connected regions of aligned spins (domains) after a sudden temperature quench. In equilibrium, it is possible to resolve the contribution to criticality by the thermal and percolati...

[Phys. Rev. E 101, 012108] Published Mon Jan 06, 2020

]]>Large-scale neural networks can be described in the spatial continuous limit by neural field equations. For large-scale brain networks, the connectivity is typically translationally variant and imposes a large computational burden upon simulations. To reduce this burden, we take a semiquantitative a...

[Phys. Rev. E 101, 012202] Published Mon Jan 06, 2020

]]>Single-cell experiments have revealed cell-to-cell variability in generation times and growth rates for genetically identical cells. Theoretical models relating the fluctuating generation times of single cells to the population growth rate are usually based on the assumption that the generation time...

[Phys. Rev. E 101, 012401] Published Mon Jan 06, 2020

]]>We present a framework for performing input-output system identification near a Hopf bifurcation using data from only the fixed-point branch, prior to the Hopf point itself. The framework models the system with a van der Pol–type equation perturbed by additive noise, and identifies the system parame...

[Phys. Rev. E 101, 013102] Published Mon Jan 06, 2020

]]>Discrete eigenmodes of the filamentation instability in a weakly ionized current-driven plasma in the presence of a $q$-nonextensive electron velocity distribution is investigated. Considering the kinetic theory, Bhatnagar-Gross-Krook collision model, and Lorentz transformation relations, the generali...

[Phys. Rev. E 101, 013202] Published Mon Jan 06, 2020

]]>A quasi-two-dimensional system of hard spheres strongly confined between two parallel plates is considered. The attention is focused on the macroscopic self-diffusion process observed when the system is seen from above or from below. The transport equation, and the associated self-diffusion coeffici...

[Phys. Rev. E 101, 012102] Published Fri Jan 03, 2020

]]>The magnetoelectric effect of a spin-1/2 Heisenberg-Ising ladder in the presence of external electric and magnetic fields is rigorously examined by taking into account the Katsura-Nagaosa-Balatsky mechanism. It is shown that an applied electric field may control the quantum phase transition between ...

[Phys. Rev. E 101, 012103] Published Fri Jan 03, 2020

]]>We calculate the fractal dimension ${d}_{\mathrm{f}}$ of critical curves in the $O\left(n\right)$-symmetric ${\left({\stackrel{\u20d7}{\varphi}}^{2}\right)}^{2}$ theory in $d=4-\epsilon $ dimensions at 6-loop order. This gives the fractal dimension of loop-erased random walks at $n=-2$, self-avoiding walks ($n=0$), Ising lines $(n=1)$, and $XY$ lines ($n=2$), in agreement with numerical simula...

[Phys. Rev. E 101, 012104] Published Fri Jan 03, 2020

]]>Dynamical stability is a prerequisite for control and functioning of desired nanomachines. We utilize the Caldeira-Leggett master equation to investigate dynamical stability of molecular cogwheels modeled as a rigid, propeller-shaped planar rotator. To match certain expected realistic physical situa...

[Phys. Rev. E 101, 012105] Published Fri Jan 03, 2020

]]>The aging process is a common phenomenon in engineering, biological, and physical systems. The hazard rate function, which characterizes the aging process, is a fundamental quantity in the disciplines of reliability, failure, and risk analysis. However, it is difficult to determine the entire hazard...

[Phys. Rev. E 101, 012106] Published Fri Jan 03, 2020

]]>Effects of mechanical coupling on cardiac dynamics are studied by monitoring the beating dynamics of a cardiac tissue which is being pulled periodically at a pace slower than its intrinsic beating rate. The tissue is taken from the heart of a bullfrog that includes pacemaker cells. The cardiac tissu...

[Phys. Rev. E 101, 012201] Published Fri Jan 03, 2020

]]>The twist-bend nematic (${N}_{\mathrm{TB}}$) phase is a doubly degenerated heliconical structure with nanometric pitch and spontaneous bend and twist deformations. It is favored by symmetry-breaking molecular structures, such as bent dimers and bent-core molecules, and it is currently one of the burgeoning fields o...

[Phys. Rev. E 101, 012702] Published Fri Jan 03, 2020

]]>A numerical procedure based on the Schwarz-Christoffel map suitable for the study of the Laplacian growth of thin two-dimensional protrusions is presented. The protrusions take the form of either straight needles or curved fingers satisfying Loewner's equation, and are represented by slits in the co...

[Phys. Rev. E 101, 013101] Published Fri Jan 03, 2020

]]>We consider a differentially rotating flow of an incompressible electrically conducting and viscous fluid subject to an external axial magnetic field and to an azimuthal magnetic field that is allowed to be generated by a combination of an axial electric current external to the fluid and electrical ...

[Phys. Rev. E 101, 013201] Published Fri Jan 03, 2020

]]>An angular momentum conservative pure bulk viscosity term for smoothed particle hydrodynamics (SPH) is proposed in the present paper. This formulation permits independent modeling of shear and bulk viscosities, which is of paramount importance for fluids with large bulk viscosity in situations where...

[Phys. Rev. E 101, 013302] Published Fri Jan 03, 2020

]]>[Phys. Rev. E 101, 019901] Published Fri Jan 03, 2020

]]>We introduce and study a simple model for the dynamics of voting intention in a population of agents that have to choose between two candidates. The level of indecision of a given agent is modeled by its propensity to vote for one of the two alternatives, represented by a variable $p\in [0,1]$. When an a...

[Phys. Rev. E 101, 012101] Published Thu Jan 02, 2020

]]>We report experimental studies on an azo-substituted compound consisting of bent-core hockey-stick-shaped molecules. The experimental results establish two pseudopolar tilted smectic phases, which are characterized by an in-plane axial-vector order parameter in addition to tilt order in the smectic ...

[Phys. Rev. E 101, 012701] Published Thu Jan 02, 2020

]]>A strand of spaghetti changes shape as it is cooked. This paper proposes a theory that includes a time-dependent curvature, and models the evolution of the system based on previous observations. The authors compare their results with tabletop experiments and find good agreement.

[Phys. Rev. E 101, 013001] Published Thu Jan 02, 2020

]]>We present a Monte Carlo algorithm based on the stochastic approximation Monte Carlo (SAMC) algorithm for directly calculating the density of states. The proposed method is stochastic approximation with a dynamic update factor (SAD), which dynamically adjusts the update factor ${\gamma}_{t}$ during the course o...

[Phys. Rev. E 101, 013301] Published Thu Jan 02, 2020

]]>In a classic paper, Purcell [Proc. Natl. Acad. Sci. U. S. A. **94**, 11307 (1997)] analyzed the dynamics of flagellated bacterial swimmers and derived a geometrical relationship which maximizes the propulsion efficiency. Experimental measurements for wild-type bacterial species *E. coli* have revealed tha...

[Phys. Rev. E 100, 062609] Published Tue Dec 31, 2019

]]>We apply the minimum-energy paths (MEPs) approach to study the helix unwinding transition in chiral nematic liquid crystals. A mechanism of the transition is determined by a MEP passing through a first order saddle point on the free energy surface. The energy difference between the saddle point and ...

[Phys. Rev. E 100, 062704] Published Tue Dec 31, 2019

]]>Dynamics of pattern formation in self-organizing systems subjected to spontaneous suppression of diffusion through a recently proposed source-sink-boundary templating technique is presented based on three-dimensional numerical simulations. This template disorder is introduced to divide the system in...

[Phys. Rev. E 100, 062803] Published Tue Dec 31, 2019

]]>In this paper, the original discrete unified gas kinetic scheme (DUGKS) is extended to the arbitrary Lagrangian–Eulerian (ALE) framework to enable simulation of low-speed continuum and rarefied flows with moving boundaries. For the proposed ALE-type DUGKS, the mesh motion velocity is introduced in t...

[Phys. Rev. E 100, 063310] Published Tue Dec 31, 2019

]]>In this work, we derive a lattice Boltzmann model for fluid-particle interaction by considering the system as a two-phase mixture. A partially saturated type scheme is achieved rigorously without any viscosity-dependent weight parameter. The scheme is of second-order accuracy in both space and time ...

[Phys. Rev. E 100, 063311] Published Tue Dec 31, 2019

]]>Lévy walk is a practical model and has wide applications in various fields. Here we focus on the effect of an external constant force on the Lévy walk with the exponent of the power-law-distributed flight time $\alpha \in (0,2)$. We add the term $F\eta \left(s\right)$ [$\eta \left(s\right)$ is the Lévy noise] on a subordinated Langevin system ...

[Phys. Rev. E 100, 062141] Published Mon Dec 30, 2019

]]>In this article, we develop a Bayesian approach to estimate parameters from time traces that originate from an overdamped Brownian particle in a harmonic potential, or Ornstein-Uhlenbeck process (OU). We show that least-square fitting the autocorrelation function, which is often the standard way of ...

[Phys. Rev. E 100, 062142] Published Mon Dec 30, 2019

]]>We investigate the universal behavior of the Kardar-Parisi-Zhang (KPZ) equation with temporally correlated noise. The presence of time correlations in the microscopic noise breaks the statistical tilt symmetry, or Galilean invariance, of the original KPZ equation with $\delta $-correlated noise (denoted SR-...

[Phys. Rev. E 100, 062143] Published Mon Dec 30, 2019

]]>Closed-form expressions, parametrized by the Hurst exponent $H$ and the length $n$ of a time series, are derived for paths of fractional Brownian motion (fBm) and fractional Gaussian noise (fGn) in the $\mathcal{A}\text{\u2212}\mathcal{T}$ plane, composed of the fraction of turning points $\mathcal{T}$ and the Abbe value $\mathcal{A}$. The exact formula for ${\mathcal{A}}_{\mathrm{f...}}$

[Phys. Rev. E 100, 062144] Published Mon Dec 30, 2019

]]>The motions of a solvation motor in a Lennard-Jones solvent were calculated by using molecular dynamics simulation. The results were analyzed considering the large spatial scale effects caused by the motion of the solvation motor. A reaction site was located on the surface of the solvation motor and...

[Phys. Rev. E 100, 062608] Published Mon Dec 30, 2019

]]>We report on a particle-based numerical study of sheared amorphous solids in the dense slow flow regime. In this framework, deformation and flow are accompanied by critical fluctuation patterns associated with the macroscopic plastic response. The former is commonly attributed to the collective slip...

[Phys. Rev. E 100, 063003] Published Mon Dec 30, 2019

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