Through the integration of the power spectral density, we obtain temperature profiles of both multisegment harmonic and anharmonic systems, showing the presence of an anomalous negative temperature gradient inside the interfacial segment. Via investigating patterns of the power spectral density, we ...

[Phys. Rev. E 96, 062119] Published Fri Dec 15, 2017

]]>Based upon our compact group approach and the Hashin-Shtrikman variational theorem, we propose a solution, which effectively incorporates many-particle effects in concentrated systems, to the problem of the effective quasistatic permittivity of dispersions of graded dielectric particles. After the t...

[Phys. Rev. E 96, 062121] Published Fri Dec 15, 2017

]]>In recent years it was shown both theoretically and experimentally that in certain systems exhibiting anomalous diffusion the time- and ensemble-averaged mean-squared displacement are remarkably different. The ensemble-averaged diffusivity is obtained from a scaling Green-Kubo relation, which connec...

[Phys. Rev. E 96, 062122] Published Fri Dec 15, 2017

]]>We report exact results on one of the best studied models in statistical physics: the classical antiferromagnetic Ising chain in a magnetic field. We show that the model possesses an infinite cascade of thermal phase transitions (also known as disorder lines or geometric phase transitions). The phas...

[Phys. Rev. E 96, 062123] Published Fri Dec 15, 2017

]]>Critical point of liquid-gas (LG) transition does not conform with the paradigm of spontaneous symmetry breaking because there is no broken symmetry in both phases. We revisit the conjecture that this critical point belongs to the Ising class by performing large scale Monte Carlo simulations in two-...

[Phys. Rev. E 96, 062124] Published Fri Dec 15, 2017

]]>A large class of engineered and natural systems, ranging from transportation networks to neuronal networks, are best represented by multiplex network architectures, namely a network composed of two or more different layers where the mutual interaction in each layer may differ from other layers. Here...

[Phys. Rev. E 96, 062308] Published Fri Dec 15, 2017

]]>We consider critical behavior in the ensemble of polychromatic Erdős-Rényi networks and regular random graphs, where network vertices are painted in different colors. The links can be randomly removed and added to the network subject to the condition of the vertex degree conservation. In these const...

[Phys. Rev. E 96, 062309] Published Fri Dec 15, 2017

]]>Cooperators benefit others with paying costs. Evolution of cooperation crucially depends on the cost-benefit ratio of cooperation, denoted as $c$. In this work, we investigate the infinitely repeated prisoner's dilemma for various values of $c$ with four of the representative memory-one strategies, i.e....

[Phys. Rev. E 96, 062310] Published Fri Dec 15, 2017

]]>We investigate large-scale effects induced by external fields, phenomenologically interpreted as mass media, in multiagent models evolving with the microscopic dynamics of the binary naming game. In particular, we show that a single external field, broadcasting information at regular time intervals,...

[Phys. Rev. E 96, 062311] Published Fri Dec 15, 2017

]]>Proteins implement their functionalities when folded into specific three-dimensional structures, and their functions are related to the protein structures and dynamics. Previously, we applied a relaxation mode analysis (RMA) method to protein systems; this method approximately estimates the slow rel...

[Phys. Rev. E 96, 062408] Published Fri Dec 15, 2017

]]>The orientational order of the molecules in the bent mesogen CB6OCB has been studied throughout the range of temperature stability of both the ${N}_{\mathrm{U}}$ and ${N}_{\mathrm{TB}}$ liquid-crystal phases by ${}^{13}\mathrm{C}$ NMR spectroscopy. These spectra provide local order parameters for the *para* axes of both of the nonequivalent cyanobi...

[Phys. Rev. E 96, 062702] Published Fri Dec 15, 2017

]]>The integrating factor and exponential time differencing methods are implemented and tested for solving the time-dependent Kohn-Sham equations. Popular time propagation methods used in physics, as well as other robust numerical approaches, are compared to these exponential integrator methods in orde...

[Phys. Rev. E 96, 063307] Published Fri Dec 15, 2017

]]>We investigate the distribution of relative velocities between small heavy particles of different sizes in turbulence by analyzing a statistical model for bidisperse turbulent suspensions, containing particles with two different Stokes numbers. This number, $\text{St}$, is a measure of particle inertia which...

[Phys. Rev. E 96, 061102(R)] Published Thu Dec 14, 2017

]]>In disordered elastic systems, driven by displacing a parabolic confining potential adiabatically slowly, all advance of the system is in bursts, termed avalanches. Avalanches have a finite extension in time, which is much smaller than the waiting time between them. Avalanches also have a finite ext...

[Phys. Rev. E 96, 062116] Published Thu Dec 14, 2017

]]>We discuss the possibility of extracting energy from a single thermal bath using microcanonical Szilárd engines operating in finite time. This extends previous works on the topic which are restricted to the quasistatic regime. The feedback protocol is implemented based on linear response predictions...

[Phys. Rev. E 96, 062117] Published Thu Dec 14, 2017

]]>Using the framework of infinite matrix product states, the existence of an *anomalous* dynamical phase for the transverse-field Ising chain with sufficiently long-range interactions was first reported in J. C. Halimeh and V. Zauner-Stauber [Phys. Rev. B **96**, 134427 (2017)], where it was shown that *anom...*

[Phys. Rev. E 96, 062118] Published Thu Dec 14, 2017

]]>We present analytical results for the distribution of shortest cycle lengths (DSCL) in random networks. The approach is based on the relation between the DSCL and the distribution of shortest path lengths (DSPL). We apply this approach to configuration model networks, for which analytical results fo...

[Phys. Rev. E 96, 062307] Published Thu Dec 14, 2017

]]>We present a mode-coupling theory (MCT) for the slow dynamics of two-dimensional spherical active Brownian particles (ABPs). The ABPs are characterized by a self-propulsion velocity ${v}_{0}$ and by their translational and rotational diffusion coefficients ${D}_{t}$ and ${D}_{r}$, respectively. Based on the integration-...

[Phys. Rev. E 96, 062608] Published Thu Dec 14, 2017

]]>Data from a $1152\times 760\times 1280$ direct numerical simulation [N. J. Mueschke and O. Schilling, Phys. Fluids **21**, 014106 (2009)] of a Rayleigh-Taylor mixing layer modeled after a small-Atwood-number water-channel experiment is used to investigate the validity of gradient diffusion and similarity closures *a p...*

[Phys. Rev. E 96, 063111] Published Thu Dec 14, 2017

]]>We consider an arbitrary quantum system coupled nonperturbatively to a large arbitrary and fully quantum environment. In the work by Ithier and Benaych-Georges [Phys. Rev. A **96**, 012108 (2017)] the typicality of the dynamics of such an embedded quantum system was established for several classes of ra...

[Phys. Rev. E 96, 060102(R)] Published Wed Dec 13, 2017

]]>For realistic interaction models, which include both molecular attraction and repulsion (e.g., Lennard-Jones, modified Lennard-Jones, Morse, and square-well potentials), the asymptotic behavior of the virial expansions for pressure and density in powers of activity has been studied taking power term...

[Phys. Rev. E 96, 062115] Published Wed Dec 13, 2017

]]>Here we study how coherence appears in a system driven by noise at small scales. In the wave turbulence modeled by the Gross-Pitaevskii or the nonlinear Schrödinger equation, we observe states with correlation scales smaller than the system size but much larger than the excitation scale. We call a s...

[Phys. Rev. E 96, 062206] Published Wed Dec 13, 2017

]]>We consider two coupled quantum tops with angular momentum vectors $\mathbf{L}$ and $\mathbf{M}$. The coupling Hamiltonian defines the Feingold-Peres model, which is a known paradigm of quantum chaos. We show that this model has a nonstandard symmetry with respect to the Altland-Zirnbauer tenfold symmetry classification ...

[Phys. Rev. E 96, 062207] Published Wed Dec 13, 2017

]]>The ability to trap a single molecule in an electrostatic potential well in solution has opened up new possibilities for the use of molecular electrical charge to study macromolecular conformation and dynamics at the level of the single entity. Here we study the diffusion of a single macromolecule i...

[Phys. Rev. E 96, 062406] Published Wed Dec 13, 2017

]]>Template-directed replication of nucleic acids is at the essence of all living beings and a major milestone for any origin of life scenario. We present an idealized model of prebiotic sequence replication, where binary polymers act as templates for their autocatalytic replication, thereby serving as...

[Phys. Rev. E 96, 062407] Published Wed Dec 13, 2017

]]>Granular surfaces subjected to repeated passage often spontaneously develop a corrugated pattern. In this study, we scrutinized the growth dynamics of surface corrugation in a self-rotating sand bed that is traced by the edge of a vertically oscillating arm. We found that both the rotation velocity ...

[Phys. Rev. E 96, 062904] Published Wed Dec 13, 2017

]]>In this paper, we investigate experimentally the dynamics of particles in dense granular suspensions when both shear and external vibrations are applied. We study in detail how vibrations affect particle reorganization at the local scale and modify the apparent rheology. The nonlocal nature of the r...

[Phys. Rev. E 96, 062905] Published Wed Dec 13, 2017

]]>By means of the lubrication approximation we obtain the full family of static bidimensional profiles of a liquid resting on a substrate under partial-wetting conditions imposed by a disjoining-conjoining pressure. We show that for a set of quite general disjoining-conjoining pressure potentials, the...

[Phys. Rev. E 96, 063109] Published Wed Dec 13, 2017

]]>We construct a boundary integral representation for the low-Reynolds-number flow in a channel in the presence of freely suspended particles (or droplets) of arbitrary size and shape. We demonstrate that lubrication theory holds away from the particles at horizontal distances exceeding the channel he...

[Phys. Rev. E 96, 063110] Published Wed Dec 13, 2017

]]>The numerical solution of the general coupled nonlinear Schrödinger equations on unbounded domains is considered by applying the artificial boundary method in this paper. In order to design the local absorbing boundary conditions for the coupled nonlinear Schrödinger equations, we generalize the uni...

[Phys. Rev. E 96, 063305] Published Wed Dec 13, 2017

]]>The present work shows a method for stable simulations via the lattice Boltzmann (LB) model for electromagnetic waves (EM) transiting homogeneous media. LB models for such media were already presented in the literature, but they suffer from numerical instability when the media transitions are sharp....

[Phys. Rev. E 96, 063306] Published Wed Dec 13, 2017

]]>Permutation entropy (PE) is a statistic used widely for the detection of structure within a time series. Embedding delay times at which the PE is reduced are characteristic timescales for which such structure exists. Here, a generalized scheme is investigated where embedding delays are represented b...

[Phys. Rev. E 96, 062205] Published Tue Dec 12, 2017

]]>We propose a computationally effective approach that builds on Landau mean-field theory in combination with modern nonequilibrium statistical mechanics to model and interpret protein dynamics and structure formation in small- to wide-angle x-ray scattering (S/WAXS) experiments. We develop the method...

[Phys. Rev. E 96, 062405] Published Tue Dec 12, 2017

]]>The evaporation of droplets can give rise to a wide range of interesting phenomena in which the dynamics of the evaporation are crucial. In this work, we find simple scaling laws for the evaporation dynamics of axisymmetric droplets pinned on millimeter-sized pillars. Different laws are found depend...

[Phys. Rev. E 96, 062803] Published Tue Dec 12, 2017

]]>We develop a gray-scale lattice Boltzmann (LB) model to study fluid flow combined with heat transfer for flow through porous media where voxels may be partially solid (or void). Heat transfer in rocks may lead to deformation, which in turn can modulate the fluid flow and so has significant contribut...

[Phys. Rev. E 96, 063108] Published Tue Dec 12, 2017

]]>In the context of a discrete analog of the classical Heisenberg model, we investigate the critical behavior of the icosahedron model, where the interaction energy is defined as the inner product of neighboring vector spins of unit length pointing to the vertices of the icosahedron. The effective cor...

[Phys. Rev. E 96, 062112] Published Mon Dec 11, 2017

]]>This work deals with thermostated fluctuating systems subjected to driven transformations of the internal energetics. The main focus is on generally multidimensional systems with continuous configurational degrees of freedom over which overdamped Markovian fluctuations take place (diffusive regime o...

[Phys. Rev. E 96, 062113] Published Mon Dec 11, 2017

]]>We analyze a family of exact finite energy solutions to Maxwell's equations. These solutions are a subset of the modified-power-spectrum solutions found by Ziolkowski [Phys. Rev. A **39**, 2005 (1989)]. There are three characteristic parameters in the solutions: ${q}_{1},{q}_{2}$, and ${k}_{0}$. ${q}_{1}$ and ${q}_{2}$ are related to t...

[Phys. Rev. E 96, 062114] Published Mon Dec 11, 2017

]]>We provide a classification of the possible flows of two-component Bose-Einstein condensates evolving from initially discontinuous profiles. We consider the situation where the dynamics can be reduced to the consideration of a single polarization mode (also denoted as “magnetic excitation”) obeying ...

[Phys. Rev. E 96, 062202] Published Mon Dec 11, 2017

]]>We investigate the dynamics of coupled identical chaotic Lorenz oscillators just above the subcritical Hopf bifurcation. In the absence of coupling, the motion is on a strange chaotic attractor and the fixed points of the system are all unstable. With the coupling, the unstable fixed points are conv...

[Phys. Rev. E 96, 062203] Published Mon Dec 11, 2017

]]>We study the effect of common noise on coupled active rotators. While such a noise always facilitates synchrony, coupling may be attractive (synchronizing) or repulsive (desynchronizing). We develop an analytical approach based on a transformation to approximate angle-action variables and averaging ...

[Phys. Rev. E 96, 062204] Published Mon Dec 11, 2017

]]>Previously we reported [A. Wynveen *et al.*, Phys. Rev. E **89**, 022725 (2014)] that requiring that the systems regarded as lifelike be out of chemical equilibrium in a model of abstracted polymers undergoing ligation and scission first introduced by Kauffman [S. A. Kauffman, *The Origins of Order* (Oxfor...

[Phys. Rev. E 96, 062402] Published Mon Dec 11, 2017

]]>Nanoscale dynamics with cycles of receptor diffusion and immobilization by cell-external-or-internal factors is a key process in living cell adhesion phenomena at the origin of a plethora of signal transduction pathways. Motivated by modern correlation microscopy approaches, the receptor correlation...

[Phys. Rev. E 96, 062403] Published Mon Dec 11, 2017

]]>Protein and lipid nanodomains are prevalent on the surface of mammalian cells. In particular, it has been recently recognized that ion channels assemble into surface nanoclusters in the soma of cultured neurons. However, the interactions of these molecules with surface nanodomains display a consider...

[Phys. Rev. E 96, 062404] Published Mon Dec 11, 2017

]]>Micro-organisms expend energy moving through complex media. While propulsion speed is an important property of locomotion, efficiency is another factor that may determine the swimming gait adopted by a micro-organism in order to locomote in an energetically favorable manner. The efficiency of swimmi...

[Phys. Rev. E 96, 062606] Published Mon Dec 11, 2017

]]>Why does a microwave oven work? How does biological tissue absorb electromagnetic radiation? Astonishingly, we do not have a definite answer to these simple questions because the microscopic processes governing the absorption of electromagnetic waves by water are largely unclarified. This absorption...

[Phys. Rev. E 96, 062607] Published Mon Dec 11, 2017

]]>We analyzed the optical band gaps for axially propagating electromagnetic waves throughout a metallic doped cholesteric elastomer. The composed medium is made of metallic nanospheres (silver) randomly dispersed in a cholesteric elastomer liquid crystal whose dielectric properties can be represented ...

[Phys. Rev. E 96, 062701] Published Mon Dec 11, 2017

]]>The study of elastic membranes carrying topological defects has a longstanding history, going back at least to the 1950s. When allowed to buckle in three-dimensional space, membranes with defects can totally relieve their in-plane strain, remaining with a bending energy, whose rigidity modulus is sm...

[Phys. Rev. E 96, 063002] Published Mon Dec 11, 2017

]]>We present results from extensive Monte Carlo simulations of polymer models where each lattice site can be visited by up to $K$ monomers and no restriction is imposed on the number of bonds on each lattice edge. These multiple monomer per site (MMS) models are investigated on the square and cubic latt...

[Phys. Rev. E 96, 062111] Published Fri Dec 08, 2017

]]>In this work we revisit the nonmonotonic behavior (NMB) of synchronization time with velocity reported for systems of mobile pulse-coupled oscillators (PCOs). We devise a control parameter that allows us to predict in which range of velocities NMB may occur, also uncovering the conditions allowing u...

[Phys. Rev. E 96, 062306] Published Fri Dec 08, 2017

]]>We study the influence of receptor-ligand interactions on the force response of single polymer chains theoretically. The extension of the chain is modeled in terms of freely jointed chain or elastic freely jointed chain (EFJC) models. The situation involving noninteracting bonds is solved exactly, w...

[Phys. Rev. E 96, 062501] Published Fri Dec 08, 2017

]]>We obtain several exact results for universal distributions involving the maximum of the ${\mathrm{Airy}}_{2}$ process minus a parabola and plus a Brownian motion, with applications to the one-dimensional Kardar-Parisi-Zhang (KPZ) stochastic growth universality class. This allows one to obtain (i) the universal lim...

[Phys. Rev. E 96, 060101(R)] Published Thu Dec 07, 2017

]]>Micron-sized particles (microbeads) dispersed in a suspension of magnetic nanoparticles, i.e., ferrofluids, can be assembled into different types of structures upon application of an external magnetic field. This paper is devoted to theoretical modeling of a relative motion of a pair of microbeads (...

[Phys. Rev. E 96, 062604] Published Thu Dec 07, 2017

]]>Using experiments and simulations, we study the flow of soft particles through quasi-two-dimensional hoppers. The first experiment uses oil-in-water emulsion droplets in a thin sample chamber. Due to surfactants coating the droplets, they easily slide past each other, approximating soft frictionless...

[Phys. Rev. E 96, 062605] Published Thu Dec 07, 2017

]]>Theory and practical implementations for wake-free propulsion systems are proposed and proven with computational fluid dynamic modeling. Introduced earlier, the concept of active hydrodynamic metamaterials is advanced by introducing magnetohydrodynamic metamaterials, structures with custom-designed ...

[Phys. Rev. E 96, 063107] Published Thu Dec 07, 2017

]]>Flow of particles of two different species through a narrow channel with solely two discrete spatial positions is analyzed with respect to the species' capability to cooperate or compete for transport. The origin of the latter arises from particle-channel and interparticle interactions within the ch...

[Phys. Rev. E 96, 062109] Published Wed Dec 06, 2017

]]>We study the entropy production of systems out of equilibrium using random networks. We focus on systems with a finite number of states described by a master equation close to equilibrium. The dynamics are mapped into a network of states (nodes) connected by transition rates (links). Using this fram...

[Phys. Rev. E 96, 062110] Published Wed Dec 06, 2017

]]>Motivated by identifying the origin of the bias dependence of tension propagation, we investigate methods for measuring tension propagation quantitatively in computer simulations of driven polymer translocation. Here, the motion of flexible polymer chains through a narrow pore is simulated using Lan...

[Phys. Rev. E 96, 062401] Published Wed Dec 06, 2017

]]>This article discusses the physics of stratification of colloidal particles and smaller polymer molecules in drying liquid films. The authors focus on the motion of colloidal particles in response to a concentration gradient of polymer molecules, and include the effect of solvent backflow. Their model provides an explanation for the depletion of colloidal particles at the top surface.

[Phys. Rev. E 96, 062602] Published Wed Dec 06, 2017

]]>A proposal to link the equation of state of a monocomponent hard-disk fluid to the equation of state of a polydisperse hard-disk mixture is presented. Event-driven molecular dynamics simulations are performed to obtain data for the compressibility factor of the monocomponent fluid and of 26 polydisp...

[Phys. Rev. E 96, 062603] Published Wed Dec 06, 2017

]]>The macroscopic description of buoyancy-driven thermal convection in porous media is governed by advection-diffusion processes, which in the presence of thermophysical heterogeneities fail to predict the onset of thermal convection and the average rate of heat transfer. This work extends the classic...

[Phys. Rev. E 96, 063105] Published Wed Dec 06, 2017

]]>The role of an external field on capillary waves at the liquid-vapor interface of a dipolar fluid is investigated using molecular dynamics simulations. For fields parallel to the interface, the interfacial width squared increases linearly with respect to the logarithm of the size of the interface ac...

[Phys. Rev. E 96, 063106] Published Wed Dec 06, 2017

]]>[Phys. Rev. E 96, 069901] Published Wed Dec 06, 2017

]]>Quantum phase transitions of a $q$-state Potts model in fractal lattices are studied using a continuous-time quantum Monte Carlo simulation technique. For small values of $q$, the transition is found to be second order and critical exponents of the quantum critical point are calculated. The dynamic crit...

[Phys. Rev. E 96, 062105] Published Tue Dec 05, 2017

]]>Bayesian inference can be used as a method to analyze statistical data from single-particle-tracking experiments. The authors develop a complementary test to judge the quality of the fit, and they present results on how their scheme applies to a theoretical example of position-dependent mobility.

[Phys. Rev. E 96, 062106] Published Tue Dec 05, 2017

]]>We discuss the possibility of reaching the Carnot efficiency by heat engines (HEs) out of quasistatic conditions at nonzero power output. We focus on several models widely used to describe the performance of actual HEs. These models comprise quantum thermoelectric devices, linear irreversible HEs, m...

[Phys. Rev. E 96, 062107] Published Tue Dec 05, 2017

]]>Dynamical phase transitions are defined as nonanalytic points of the large deviation function of current fluctuations. We show that for boundary-driven systems, many dynamical phase transitions can be identified using the geometrical structure of an effective potential of a Hamiltonian, recovered fr...

[Phys. Rev. E 96, 062108] Published Tue Dec 05, 2017

]]>We investigate three aspects of the importance of nodes with respect to susceptible-infectious-removed (SIR) disease dynamics: influence maximization (the expected outbreak size given a set of seed nodes), the effect of vaccination (how much deleting nodes would reduce the expected outbreak size), a...

[Phys. Rev. E 96, 062305] Published Tue Dec 05, 2017

]]>We present a version of soft glassy rheology that includes thermalized strain degrees of freedom. It fully specifies systems' strain-history-dependent positions on their energy landscapes and therefore allows for quantitative analysis of their heterogeneous yielding dynamics and nonequilibrium defor...

[Phys. Rev. E 96, 063001] Published Tue Dec 05, 2017

]]>Time-resolved dynamics of nonspherical oscillations of micrometer-sized bubbles are captured and analyzed using high-speed imaging. The axisymmetry of the bubble shape is ensured with certainty for the first time from the recordings of two synchronous high-speed cameras located at ${90}^{\circ}$. The temporal ...

[Phys. Rev. E 96, 063104] Published Tue Dec 05, 2017

]]>We consider the inverse Ising problem: the inference of network couplings from observed spin trajectories for a model with continuous time Glauber dynamics. By introducing two sets of auxiliary latent random variables we render the likelihood into a form which allows for simple iterative inference a...

[Phys. Rev. E 96, 062104] Published Mon Dec 04, 2017

]]>We show that the degree-degree correlations have a major impact on global synchronizability (GS) of multiplex networks, enabling the specification of synchronizability by only changing the degree-degree correlations of the mirror nodes while maintaining the connection architecture of the individual ...

[Phys. Rev. E 96, 062301] Published Mon Dec 04, 2017

]]>Connectivity, or the lack thereof, is crucial for the function of many man-made systems, from financial and economic networks over epidemic spreading in social networks to technical infrastructure. Often, connections are deliberately established or removed to induce, maintain, or destroy global conn...

[Phys. Rev. E 96, 062302] Published Mon Dec 04, 2017

]]>In the present study, we have investigated the Allison mixture, a variant of the Parrondo's games where random mixing of two random sequences creates autocorrelation. We have obtained the autocorrelation function and mutual entropy of two elements. Our analysis shows that the mutual information is n...

[Phys. Rev. E 96, 062303] Published Mon Dec 04, 2017

]]>The structure of a sentence can be represented as a network where vertices are words and edges indicate syntactic dependencies. Interestingly, crossing syntactic dependencies have been observed to be infrequent in human languages. This leads to the question of whether the scarcity of crossings in la...

[Phys. Rev. E 96, 062304] Published Mon Dec 04, 2017

]]>We examine a rapidly solidifying binary alloy under directional solidification with nonequilibrium interfacial thermodynamics viz. the segregation coefficient and the liquidus slope are speed dependent and attachment-kinetic effects are present. Both of these effects alone give rise to (steady) cell...

[Phys. Rev. E 96, 062802] Published Mon Dec 04, 2017

]]>We study the rheology of dense granular flows for frictionless spherocylinders by means of 3D numerical simulations. As in the case of spherical particles, the effective friction $\mu $ is an increasing function of the inertial number $I$, and we systematically investigate the dependence of $\mu $ on the partic...

[Phys. Rev. E 96, 062903] Published Mon Dec 04, 2017

]]>In this article, we present a numerical study of the dynamics of two disks sedimenting in a narrow vertical channel filled with an Oldroyd-B fluid. Two kinds of particle dynamics are observed: (i) a periodic interaction between the two disks, and (ii) the formation of a two-disk chain. For the perio...

[Phys. Rev. E 96, 063103] Published Mon Dec 04, 2017

]]>An implementation of the polynomial chaos expansion is introduced as a fast solver of the equations of beam and spin motion of charged particles in electromagnetic fields. We show that, based on the stochastic Galerkin method, our computational framework substantially reduces the required number of ...

[Phys. Rev. E 96, 063301] Published Mon Dec 04, 2017

]]>This paper considers the non-Hermitian Zakharov-Shabat (ZS) scattering problem which forms the basis for defining the $\mathrm{SU}\left(2\right)$ nonlinear Fourier transformation (NFT). The theoretical underpinnings of this generalization of the conventional Fourier transformation are quite well established in the Ablowi...

[Phys. Rev. E 96, 063302] Published Mon Dec 04, 2017

]]>In this paper, an improved thermal lattice Boltzmann (LB) model is proposed for simulating liquid-vapor phase change, which is aimed at improving an existing thermal LB model for liquid-vapor phase change [S. Gong and P. Cheng, Int. J. Heat Mass Transfer **55**, 4923 (2012)]. First, we emphasize that th...

[Phys. Rev. E 96, 063303] Published Mon Dec 04, 2017

]]>In this paper, we propose a method to construct invariant finite-difference schemes for solution of partial differential equations (PDEs) via consideration of modified forms of the underlying PDEs. The invariant schemes, which preserve Lie symmetries, are obtained based on the method of equivariant ...

[Phys. Rev. E 96, 063304] Published Mon Dec 04, 2017

]]>The authors investigate collective behavior of repulsive Brownian particles. Simulations and analytical studies reveal that chemically active repulsive particles, when confined to a constant-volume domain, may undergo a liquid-to-crystal phase transition analogous to that found for positive ions in one-component plasmas. Experimental tests of the predictions appear to be feasible.

[Phys. Rev. E 96, 060601(R)] Published Fri Dec 01, 2017

]]>We report on an experimental observation of classical diffusion distinguishing between structural universality classes of disordered systems in one dimension. Samples of hyperuniform and short-range disorder were designed, characterized by the statistics of the placement of micrometer-thin parallel ...

[Phys. Rev. E 96, 061101(R)] Published Fri Dec 01, 2017

]]>The distribution of the hypervolume $V$ and surface $\partial V$ of convex hulls of (multiple) random walks in higher dimensions are determined numerically, especially containing probabilities far smaller than $P={10}^{-1000}$ to estimate large deviation properties. For arbitrary dimensions and large walk lengths $T$, w...

[Phys. Rev. E 96, 062101] Published Fri Dec 01, 2017

]]>Stochastic chemical reaction networks (CRNs) are complex systems that combine the features of concurrent transformation of multiple variables in each elementary reaction event and nonlinear relations between states and their rates of change. Most general results concerning CRNs are limited to restri...

[Phys. Rev. E 96, 062102] Published Fri Dec 01, 2017

]]>We study inequivalence of canonical and microcanonical ensembles in the mean-field Blume-Emery-Griffiths model. This generalizes previous results obtained for the Blume-Capel model. The phase diagram strongly depends on the value of the biquadratic exchange interaction $K$, the additional feature pres...

[Phys. Rev. E 96, 062103] Published Fri Dec 01, 2017

]]>The ground-state energy splitting due to tunneling in two-dimensional double wells of the form $V(x,y)=\frac{{({x}^{2}-{R}^{2})}^{2}}{8{R}^{2}}+\frac{{x}^{2}-{R}^{2}}{{R}^{2}}\gamma y+\frac{{\omega}^{2}}{2}{y}^{2}$ is calculated. Several results are reported. First, we give a systematic WKB expansion of the splitting in series in powers of ${R}^{-2}$, each term of the series being a finite...

[Phys. Rev. E 96, 062201] Published Fri Dec 01, 2017

]]>The mesoscopic collective motion of self-propelling active particle suspension is experimentally investigated. The active particles are silica micro spheres with Au hemisphere coating, and their propelling strength is activated by laser irradiation. The suspension is driven from equilibrium to near ...

[Phys. Rev. E 96, 062601] Published Fri Dec 01, 2017

]]>The temperature effect on the dynamics and geometry of a mercury droplet (∼150 *μ*m) spreading on a silver substrate (4000 Å) was studied. The system temperature was controlled by a heating stage in the temperature range of −15 °C T R($t$) grows linearly with time, with a velocity value depending on tem...

[Phys. Rev. E 96, 062801] Published Fri Dec 01, 2017

]]>A granular system composed of frictional glass beads is simulated using the discrete element method. The intergrain forces are based on the Hertz contact law in the normal direction with frictional tangential force. The damping due to collision is also accounted for. Systems are loaded at various st...

[Phys. Rev. E 96, 062901] Published Fri Dec 01, 2017

]]>We focus on the response of mechanically stable (MS) packings of frictionless, bidisperse disks to thermal fluctuations, with the aim of quantifying how nonlinearities affect system properties at finite temperature. In contrast, numerous prior studies characterized the structural and mechanical prop...

[Phys. Rev. E 96, 062902] Published Fri Dec 01, 2017

]]>Within wall turbulence, there is a sublayer where the mean velocity and the variance of velocity fluctuations vary logarithmically with the height from the wall. This logarithmic scaling is also known for the mean concentration of a passive scalar. By using heat as such a scalar in a laboratory expe...

[Phys. Rev. E 96, 063101] Published Fri Dec 01, 2017

]]>Supercritical fluids when subjected to simultaneous quench and vibration have been known to cause various intriguing flow phenomena and instabilities depending on the relative direction of temperature gradient and vibration. Here we describe a surprising and interesting phenomenon wherein temperatur...

[Phys. Rev. E 96, 063102] Published Fri Dec 01, 2017

]]>The study of complex networks, and in particular of social networks, has mostly concentrated on relational networks, abstracting the distance between nodes. Spatial networks are, however, extremely relevant in our daily lives, and a large body of research exists to show that the distances between no...

[Phys. Rev. E 96, 052316] Published Thu Nov 30, 2017

]]>The thermally excited vortical flow in a microsized liquid crystal (LC) volume with a free LC-air interface has been investigated theoretically based on the nonlinear extension of the Ericksen-Leslie theory, with accounting the entropy balance equation. Analysis of the numerical results show that du...

[Phys. Rev. E 96, 052705] Published Thu Nov 30, 2017

]]>The thermodynamic theory of dislocation-enabled plasticity is based on two unconventional hypotheses. The first of these is that a system of dislocations, driven by external forces and irreversibly exchanging heat with its environment, must be characterized by a thermodynamically defined effective t...

[Phys. Rev. E 96, 053005] Published Thu Nov 30, 2017

]]>Self-gravitating isothermal supersonic turbulence is analyzed in the asymptotic limit of large Reynolds numbers. Based on the inviscid invariance of total energy, an exact relation is derived for homogeneous (not necessarily isotropic) turbulence. A modified definition for the two-point energy corre...

[Phys. Rev. E 96, 053116] Published Thu Nov 30, 2017

]]>Driven lattice gases are widely regarded as the paradigm of collective phenomena out of equilibrium. While such models are usually studied with nearest-neighbor interactions, many empirical driven systems are dominated by slowly decaying interactions such as dipole-dipole and Van der Waals forces. M...

[Phys. Rev. E 96, 052141] Published Wed Nov 29, 2017

]]>The generation of current from electron-ion Bremsstrahlung absorption is one of the open problems in plasma physics. In this paper, the authors extend previous results for the current generated by colliding electrons and ions in the presence of incoming photons. Understanding the mechanisms behind this plasma current can have important consequences for astrophysical systems and inertial confinement fusion.

[Phys. Rev. E 96, 053211] Published Wed Nov 29, 2017

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