The phenomena of subdiffusion are widely observed in physical and biological systems. To investigate the effects of external potentials, say, harmonic potential, linear potential, and time-dependent force, we study the subdiffusion described by the subordinated Langevin equation with white Gaussian ...

[Phys. Rev. E 99, 042125] Published Thu Apr 18, 2019

]]>The fractional Laplacian ${(-\mathrm{\Delta})}^{\alpha /2}$, $\alpha \in (0,2)$, has many equivalent (albeit formally different) realizations as a nonlocal generator of a family of $\alpha $-stable stochastic processes in ${R}^{n}$. On the other hand, if the process is to be restricted to a bounded domain, there are many inequivalent proposals for wha...

[Phys. Rev. E 99, 042126] Published Thu Apr 18, 2019

]]>We design and report an electrical circuit using a Josephson junction under periodic forcing that reveals extreme multistability. Its overall state equations surprisingly recall those of a well-known model of Josephson junction initially introduced in our circuit. The final circuit is characterized ...

[Phys. Rev. E 99, 042208] Published Thu Apr 18, 2019

]]>Most of the current applications of acoustic cavitation use bubble clusters that exhibit multibubble dynamics. This necessitates a complete understanding of the mutual nonlinear coupling between individual bubbles. In this study, strong nonlinear coupling is investigated in bubble pairs which is the...

[Phys. Rev. E 99, 042209] Published Thu Apr 18, 2019

]]>We derive a message-passing method for computing the spectra of locally treelike networks and an approximation to it that allows us to compute closed-form expressions or fast numerical approximates for the spectral density of random graphs with arbitrary node degrees—the so-called configuration mode...

[Phys. Rev. E 99, 042309] Published Thu Apr 18, 2019

]]>Trabecular bone is a lightweight, compliant material organized as a web of struts and rods (trabeculae) that erode with age and the onset of bone diseases like osteoporosis, leading to increased fracture risk. The traditional diagnostic marker of osteoporosis, bone mineral density (BMD), has been sh...

[Phys. Rev. E 99, 042406] Published Thu Apr 18, 2019

]]>Neural field theory is used to predict the functional connectivity effects of lesions or other modifications to effective connectivity. Widespread initial changes are predicted after localized or diffuse changes to white or gray matter, consistent with observations, and enabling lesion severity inde...

[Phys. Rev. E 99, 042407] Published Thu Apr 18, 2019

]]>A method is proposed for generalizing the equations obtained within the framework of the edge-based compartmental modeling approach for the case of non-Poissonian transmission and recovery processes. It is confirmed that non-Markovian systems of equations obtained in this manner, which describe the ...

[Phys. Rev. E 99, 042408] Published Thu Apr 18, 2019

]]>Electrohydrodynamic (EHD) breakup phenomena for a leaky dielectric drop suspended in another immiscible viscous dielectric and subjected to a uniform electric field are examined using the leaky dielectric theory and the explicit forcing lattice Boltzmann method, by taking into account full nonlinear...

[Phys. Rev. E 99, 043106] Published Thu Apr 18, 2019

]]>Coordination of dynamical routes can alleviate traffic congestion and is essential for the coming era of autonomous self-driving cars. However, dynamical route coordination is difficult and many existing routing protocols are either static or without intervehicle coordination. In this paper, we firs...

[Phys. Rev. E 99, 042123] Published Wed Apr 17, 2019

]]>We study the statistical mechanics of a single *active slider* on a fluctuating interface, by means of numerical simulations and theoretical arguments. The slider, which moves by definition towards the interface minima, is active as it also stimulates growth of the interface. Even though such a partic...

[Phys. Rev. E 99, 042124] Published Wed Apr 17, 2019

]]>We study the spatiotemporal dynamics of a conductance-based neuronal cable. The processes of one-dimensional (1D) and 2D diffusion are considered for a single variable, which is the membrane voltage. A 2D Morris-Lecar (ML) model is introduced to investigate the nonlinear responses of an excitable co...

[Phys. Rev. E 99, 042307] Published Wed Apr 17, 2019

]]>We present a method for the construction of ensembles of random networks that consist of a single connected component with a given degree distribution. This approach extends the construction toolbox of random networks beyond the configuration model framework, in which one controls the degree distrib...

[Phys. Rev. E 99, 042308] Published Wed Apr 17, 2019

]]>Pneumatic structures and actuators are found in a variety of natural and engineered systems such as dielectric actuators, soft robots, plants and fungi cells, or even the vocal sac of frogs. These structures are often subjected to mechanical instabilities arising from the thinning of their cross sec...

[Phys. Rev. E 99, 042502] Published Wed Apr 17, 2019

]]>The applicability to dense hard sphere colloidal suspensions of a general coarse-graining approach called Record Dynamics (RD) is tested by extensive molecular dynamics simulations. We reproduce known results as logarithmic diffusion and the logarithmic decay of the average potential energy per part...

[Phys. Rev. E 99, 042607] Published Wed Apr 17, 2019

]]>The properties of a hinged floating elastic sheet of finite length under compression are considered. Numerical continuation is used to compute spatially localized buckled states with many spatially localized folds. Both symmetric and antisymmetric states are computed and the corresponding bifurcatio...

[Phys. Rev. E 99, 043001] Published Wed Apr 17, 2019

]]>[Phys. Rev. E 99, 049901] Published Wed Apr 17, 2019

]]>We put forward a quantum-optical model for a thermal diode based on heat transfer between two thermal baths through a pair of interacting qubits. We find that if the qubits are coupled by a Raman field that induces an anisotropic interaction, heat flow can become nonreciprocal and undergoes rectific...

[Phys. Rev. E 99, 042121] Published Tue Apr 16, 2019

]]>The ferromagnetic transition in the Ising model is the paradigmatic example of ergodicity breaking accompanied by symmetry breaking. It is routinely assumed that the thermodynamic limit is taken with free or periodic boundary conditions. More exotic symmetry-preserving boundary conditions, like cyli...

[Phys. Rev. E 99, 042122] Published Tue Apr 16, 2019

]]>In improving the stability of complex dynamical systems, an outstanding problem is how to achieve the desired performance at a low cost. For engineering and biological complex systems whose performance and functionality rely on the synchronous motion of their units, an important question related to ...

[Phys. Rev. E 99, 042305] Published Tue Apr 16, 2019

]]>We study mixing patterns in networks, meaning the propensity for nodes of different kinds to connect to one another. The phenomenon of assortative mixing, whereby nodes prefer to connect to others that are similar to themselves, has been widely studied, but here we go further and examine how and to ...

[Phys. Rev. E 99, 042306] Published Tue Apr 16, 2019

]]>In this paper the small-amplitude motion of multiple superposed viscous fluids is studied as a linearized initial-value problem. The analysis results in a closed set of equations for the Laplace transformed amplitudes of the interfaces that can be inverted numerically. The derived equations also con...

[Phys. Rev. E 99, 043104] Published Tue Apr 16, 2019

]]>We study the contact-angle hysteresis and morphology changes of a liquid drop sitting on a solid substrate inclined with respect to the horizontal at an angle $\alpha $. This one is always smaller than the critical angle, ${\alpha}_{\text{crit}}$, above which the drop would start to slide down. The hysteresis cycle is perform...

[Phys. Rev. E 99, 043105] Published Tue Apr 16, 2019

]]>Systems kept out of equilibrium in stationary states by an external source of energy store an energy $\mathrm{\Delta}U=U-{U}_{0}$. ${U}_{0}$ is the internal energy at equilibrium state, obtained after the shutdown of energy input. We determine $\mathrm{\Delta}U$ for two model systems: ideal gas and a Lennard-Jones fluid. $\mathrm{\Delta}U$ depends not only o...

[Phys. Rev. E 99, 042118] Published Mon Apr 15, 2019

]]>We model a particulate flow of constant velocity through confined geometries, ranging from a single channel to a bundle of ${N}_{c}$ identical coupled channels, under conditions of reversible blockage. Quantities of interest include the exiting particle flux (or throughput) and the probability that the bun...

[Phys. Rev. E 99, 042119] Published Mon Apr 15, 2019

]]>The manipulation of the self-organized critical systems by repeatedly deliberate local relaxations (local smoothing) is considered. During a local smoothing, the grains diffuse to the neighboring regions, causing a smoothening of the height filed over the system. The local smoothings are controlled ...

[Phys. Rev. E 99, 042120] Published Mon Apr 15, 2019

]]>Effective connectivity embodied in transfer functions is derived from symmetric-network activity correlations under task-free conditions via a recent causal spectral factorization method. This generalizes previous covariance-based analyses to include frequency dependencies and time delays. Results a...

[Phys. Rev. E 99, 042404] Published Mon Apr 15, 2019

]]>We consider an explicit model of a semiflexible filament moving in two dimensions on a gliding assay of motor proteins, which attach to and detach from filament segments stochastically, with a detachment rate that depends on the local load experienced. Attached motor proteins move along the filament...

[Phys. Rev. E 99, 042405] Published Mon Apr 15, 2019

]]>We present an experimental investigation of Rayleigh-like wave propagation along the surface of a dense granular suspension. Using an ultrafast ultrasound scanner, we monitor the softening of the shear modulus via the Rayleigh-like wave velocity slowdown in the optically opaque medium as the driving...

[Phys. Rev. E 99, 042902] Published Mon Apr 15, 2019

]]>The growth of plant roots in soil is just one example of the importance of mechanosensing in biology. In this paper the authors study this process and show how the reaction forces depend on the granular properties of soil and the bending stiffness of the root.

[Phys. Rev. E 99, 042903] Published Mon Apr 15, 2019

]]>A wide variety of optimization techniques, both exact and heuristic, tend to be biased samplers. This means that when attempting to find multiple uncorrelated solutions of a degenerate Boolean optimization problem a subset of the solution space tends to be favored while, in the worst case, some solu...

[Phys. Rev. E 99, 043306] Published Mon Apr 15, 2019

]]>Quasicritical exponents of one-dimensional models displaying a quasitransition at finite temperatures are examined in detail. The quasitransition is characterized by intense sharp peaks in physical quantities such as specific heat and magnetic susceptibility, which are reminiscent of divergences acc...

[Phys. Rev. E 99, 042117] Published Fri Apr 12, 2019

]]>We study a system of two identical FitzHugh-Nagumo units with a mutual linear coupling in the fast variables. While an attractive coupling always leads to synchronous behavior, a repulsive coupling can give rise to dynamical regimes with alternating spiking order, called leap-frogging. We analyze va...

[Phys. Rev. E 99, 042207] Published Fri Apr 12, 2019

]]>Using an analytical method we calculate average conditional fixation time of mutants in a general graph-structured population of two types of species. The method is based on Markov chains and uses a mean-field approximation to calculate the corresponding transition matrix. Analytical results are com...

[Phys. Rev. E 99, 042304] Published Fri Apr 12, 2019

]]>We study competition of two nonmotile bacterial strains in a three-dimensional channel numerically and analyze how their configuration evolves in space and time. We construct a lattice model that takes into account self-replication, mutation, and killing of bacteria. When mutation is not significant...

[Phys. Rev. E 99, 042403] Published Fri Apr 12, 2019

]]>Recently proposed information-exploiting systems extract work from a single heat bath by using temporal correlations on an input tape. We study how enforcing time-continuous dynamics, which is necessary to ensure that the device is physically realizable, constrains possible designs and drastically d...

[Phys. Rev. E 99, 042115] Published Thu Apr 11, 2019

]]>We propose a one-dimensional nonintegrable spin model with local interactions that covers Dyson's three symmetry classes (classes A, AI, and AII) depending on the values of parameters. We show that the nearest-neighbor spacing distribution in each of these classes agrees with that of random matrices...

[Phys. Rev. E 99, 042116] Published Thu Apr 11, 2019

]]>Superparamagnetic filaments assemble, building one-layered aggregates due to the screening effect inherited from the dipole interaction potential in a colloidal blend. The magnetic energy of rectangular and irregular ribbons is computed to obtain their mean length at thermodynamic equilibrium, in go...

[Phys. Rev. E 99, 042606] Published Thu Apr 11, 2019

]]>We introduce a wide family of stochastic processes that are obtained as sums of self-similar localized “wave forms” with multiplicative intensity in the spirit of the Richardson cascade picture of turbulence. We establish the convergence and the minimum regularity of our construction. We show that i...

[Phys. Rev. E 99, 042113] Published Wed Apr 10, 2019

]]>Complex systems, for example in biology or social science, can be viewed as networks of interacting nodes whose behavior can only be partially observed. The challenge is to understand the system’s dynamics based on this partial information. This paper presents a method to estimate the network structure based on the limited available data.

[Phys. Rev. E 99, 042114] Published Wed Apr 10, 2019

]]>In this article, we investigate the effects of the interplay between quadratic and cubic nonlinearities on the propagation of elastic waves in periodic waveguides. Through this framework, we unveil an array of wave control strategies that are intrinsically available in the response of doubly nonline...

[Phys. Rev. E 99, 042206] Published Wed Apr 10, 2019

]]>In this paper we demonstrate numerically that random networks whose adjacency matrices $\mathbf{A}$ are represented by a diluted version of the power-law banded random matrix (PBRM) model have multifractal eigenfunctions. The PBRM model describes one-dimensional samples with random long-range bonds. The bond s...

[Phys. Rev. E 99, 042303] Published Wed Apr 10, 2019

]]>Vortex patterns in ensembles of magnetic particles driven by a rotating field are studied. The driving arises due to the lubrication forces between the rotating particles acting in the direction perpendicular to the radius vector between the particles. Since the lubrication forces cannot be equilibr...

[Phys. Rev. E 99, 042605] Published Wed Apr 10, 2019

]]>Experimental observations of the growth and collapse of acoustically and laser-nucleated single bubbles in water and agarose gels of varying stiffness are presented. The maximum radii of generated bubbles decreased as the stiffness of the media increased for both nucleation modalities, but the maxim...

[Phys. Rev. E 99, 043103] Published Wed Apr 10, 2019

]]>Reinforcement learning is a way for an artificial intelligence system to learn by trial and error. This paper presents a deterministic limit of such a learning method, in an environment that changes in time. The method is applied to three well-known learning algorithms.

[Phys. Rev. E 99, 043305] Published Wed Apr 10, 2019

]]>Surface heterogeneity is ubiquitous in both natural and man-made materials, and can significantly influences material properties. However, it is very challenging to noninvasively probe the variation of surface properties in porous materials. Recently, we have proposed a method, i.e., the generalized...

[Phys. Rev. E 99, 042801] Published Tue Apr 09, 2019

]]>The electron diffusion region (EDR) is the region where magnetic reconnection is initiated and electrons are energized. Because of experimental difficulties, the structure of the EDR is still poorly understood. A key question is whether the EDR has a homogeneous or patchy structure. Here we report M...

[Phys. Rev. E 99, 043204] Published Tue Apr 09, 2019

]]>We study a random-walk infiltration (RWI) model, in homogeneous and in fractal media, with small localized sources at their boundaries. In this model, particles released at a source, maintained at a constant density value, execute unbiased random walks over a lattice; a model that represents solute ...

[Phys. Rev. E 99, 042111] Published Mon Apr 08, 2019

]]>We study the $\mathcal{PT}$-symmetric periodic layered structure with the modulated Kerr nonlinearity. We demonstrate that such systems can be transformed from the full to the broken $\mathcal{PT}$ symmetry or in the opposite direction. These transitions in the periodic structure with a finite length may be observed indire...

[Phys. Rev. E 99, 042205] Published Mon Apr 08, 2019

]]>We present a technique for obtaining an effective packing fraction for discontinuous shear thickening suspensions near a critical point. It uses a measurable quantity that diverges at the critical point—in this case the inverse of the shear rate ${\stackrel{\u0307}{\gamma}}_{c}^{-1}$ at the onset of discontinuous shear thickening—a...

[Phys. Rev. E 99, 042604] Published Mon Apr 08, 2019

]]>It is shown that photons of the prolonged emission recorded by the Gamma-Ray Observation of Winter Thunderclouds (GROWTH) experiment on January 13, 2012 [D. Umemoto *et al.*, Phys. Rev E **93**, 021201(R) (2016)] could be emitted by ball lightning and generated by annihilation of positrons which arose mai...

[Phys. Rev. E 99, 043203] Published Mon Apr 08, 2019

]]>In confined systems, such as the inside of a biological cell, the outer boundary or wall can affect the dynamics of internal particles. In many cases of interest both the internal particle and outer wall are approximately spherical. Therefore, quantifying the wall effects from an outer spherical bou...

[Phys. Rev. E 99, 043304] Published Mon Apr 08, 2019

]]>Symmetries play a conspicuous role in the large-scale behavior of critical systems. In equilibrium they allow us to classify asymptotics into different universality classes, and out of equilibrium, they sometimes emerge as collective properties which are not explicit in the “bare” interactions. Here...

[Phys. Rev. E 99, 042108] Published Fri Apr 05, 2019

]]>Many inference problems undergo phase transitions as a function of the signal-to-noise ratio, a prominent example of this phenomenon being found in the stochastic block model (SBM) that generates a random graph with a hidden community structure. Some of these phase transitions affect the information...

[Phys. Rev. E 99, 042109] Published Fri Apr 05, 2019

]]>We study random sequential adsorption of particles from a pool onto a one-dimensional substrate following ballistic deposition rules with separate nucleation and growth processes occurring simultaneously. Nucleation describes the formation of point-sized seeds, and after a seed is sown, it acts as a...

[Phys. Rev. E 99, 042110] Published Fri Apr 05, 2019

]]>Recent advances have demonstrated the effectiveness of a machine-learning approach known as “reservoir computing” for model-free prediction of chaotic systems. We find that a well-trained reservoir computer can synchronize with its learned chaotic systems by linking them with a common signal. A nece...

[Phys. Rev. E 99, 042203] Published Fri Apr 05, 2019

]]>The Duffing oscillator is a paradigm of bistable oscillatory motion in physics, engineering, and biology. Time series of such oscillations are often observed experimentally in a nonlinear system excited by a spontaneously fluctuating force. One is then interested in estimating effective parameter va...

[Phys. Rev. E 99, 042204] Published Fri Apr 05, 2019

]]>We perform a systematic and detailed study of the glass transition in highly asymmetric binary mixtures of colloidal hard spheres, combining differential dynamic microscopy experiments, *event-driven* molecular dynamics simulations, and theoretical calculations, exploring the whole state diagram and d...

[Phys. Rev. E 99, 042603] Published Fri Apr 05, 2019

]]>Exploiting the relative entropy of coherence, we isolate the coherent contribution in the energetics of a driven nonequilibrium quantum system. We prove that a division of the irreversible work can be made into a coherent and incoherent part. This provides an operational criterion for quantifying th...

[Phys. Rev. E 99, 042105] Published Thu Apr 04, 2019

]]>We propose a quadratic unconstrained binary optimization (QUBO) formulation of rectified-linear-unit (ReLU) type functions. Different from the $q$-loss function proposed by Denchev *et al.* [in *Proceedings of the 29th International Conference on Machine Learning*, Edinburgh, edited by J. Langford and J. ...

[Phys. Rev. E 99, 042106] Published Thu Apr 04, 2019

]]>This work presents a thermodynamic analysis of the ballistic heat equation from two viewpoints: classical irreversible thermodynamics (CIT) and extended irreversible thermodynamics (EIT). A formula for calculating the entropy within the framework of EIT for the ballistic heat equation is derived. Th...

[Phys. Rev. E 99, 042107] Published Thu Apr 04, 2019

]]>We investigate the dynamics of interacting quantum planar rotors as the building blocks of gear trains and nanomachinery operating in the quantum regime. Contrary to a classical hard-gear scenario of rigidly interlocked teeth, we consider the coherent contactless coupling through a finite interlocki...

[Phys. Rev. E 99, 042202] Published Thu Apr 04, 2019

]]>Pumping a viscous fluid underneath an elastic sheet will cause the sheet to bulge upward. The liquid pressure is balanced by the sheet’s elasticity as well as gravity. The authors’ experiment shows reasonable agreement with two different theories, and may provide a model for the formation of magma intrusions between layers of rock.

[Phys. Rev. E 99, 043102] Published Thu Apr 04, 2019

]]>We present further developments of the auxiliary master equation approach (AMEA), a numerical method to simulate many-body quantum systems in as well as out of equilibrium and apply it to the interacting resonant level model to benchmark the new developments. In particular, our results are obtained ...

[Phys. Rev. E 99, 043303] Published Thu Apr 04, 2019

]]>We investigate the directed momentum current in the quantum kicked rotor model with $\mathcal{PT}$-symmetric deriving potential. For the quantum nonresonance case, the values of quasienergy become complex when the strength of the imaginary part of the kicking potential exceeds a threshold value, which demonstra...

[Phys. Rev. E 99, 042201] Published Wed Apr 03, 2019

]]>Percolation is a fundamental concept that has brought new understanding of the robustness properties of complex systems. Here we consider percolation on weakly interacting networks, that is, network layers coupled together by much fewer interlinks than the connections within each layer. For these ki...

[Phys. Rev. E 99, 042302] Published Wed Apr 03, 2019

]]>Concentrated poly($N$-isopropylacrylamide) (pNIPAM) microgel suspensions at a fixed temperature below the deswelling transition of pNIPAM exhibit spontaneous particle deswelling. The microgels deswell before they are in direct contact and in polydisperse suspensions this deswelling is most pronounced ...

[Phys. Rev. E 99, 042602] Published Wed Apr 03, 2019

]]>We propose a theory to account for the NMR relaxation of water protons in situations in which the fluid is confined to porous structures exhibiting a scarce distribution of paramagnetic centers on their surface. Though much of what is stated and assumed concerns the response of water, the model has ...

[Phys. Rev. E 99, 042901] Published Wed Apr 03, 2019

]]>New data for the reflectivity of shock-compressed xenon plasmas at pressures of 10–12 GPa at large incident angles are presented. In addition, measurements have been performed at different densities. These data allow to analyze the free-electron density profile across the shock wave front. Assuming ...

[Phys. Rev. E 99, 043202] Published Wed Apr 03, 2019

]]>In this paper, a phase-field method under the framework of discrete unified gas-kinetic scheme (DUGKS) for incompressible multiphase fluid flows is proposed. Two kinetic models are constructed to solve the conservative Allen-Cahn equation that accounts for the interface behavior and the incompressib...

[Phys. Rev. E 99, 043302] Published Wed Apr 03, 2019

]]>A large number of real networks show abrupt phase transition phenomena in response to environmental changes. In this case, cascading phenomena can induce drastic and discontinuous changes in the system state and lead to collapse. Although complex network theory has been used to investigate these dra...

[Phys. Rev. E 99, 040301(R)] Published Tue Apr 02, 2019

]]>We study quantum dynamics in the framework of repeated interactions between a system and a stream of identical probes. We present a coarse-grained master equation that captures the system's dynamics in the natural regime where interactions with different probes do not overlap, but it is otherwise va...

[Phys. Rev. E 99, 042103] Published Tue Apr 02, 2019

]]>We study numerically the length distribution of the longest increasing subsequence (LIS) for random permutations and one-dimensional random walks. Using sophisticated large-deviation algorithms, we are able to obtain very large parts of the distribution, especially also covering probabilities smalle...

[Phys. Rev. E 99, 042104] Published Tue Apr 02, 2019

]]>To investigate the proliferation and invasion of a tumor within an inhomogeneous matrix, we studied the spatiotemporal dynamics of two types of growth-diffusion systems (GDSs) with logistic or Allee growth occurring on a two-dimensional square site percolation lattice via numerical computation and f...

[Phys. Rev. E 99, 042401] Published Tue Apr 02, 2019

]]>Temporal correlations in neuronal spike trains are known to introduce redundancy to stimulus encoding. However, exact methods to describe how these correlations impact neural information transmission quantitatively are lacking. Here, we provide a general measure for the information carried by correl...

[Phys. Rev. E 99, 042402] Published Tue Apr 02, 2019

]]>Using numerical simulations, we examine the dynamics of driven two-dimensional bidisperse disks flowing over quenched disorder. The system exhibits a series of distinct dynamical phases as a function of applied driving force and packing fraction, including a phase-separated state as well as a smecti...

[Phys. Rev. E 99, 042601] Published Tue Apr 02, 2019

]]>We study the dynamics of a thin liquid film on a compliant substrate in the presence of thermocapillary effect. A set of long-wave equations are derived to investigate the effects of fluid gravity $\left(G\right)$, fluid inertia (Re), and Marangoni stresses (Ma) on the dynamics of the liquid film and the complia...

[Phys. Rev. E 99, 043101] Published Tue Apr 02, 2019

]]>Using the renormalization-group approach, we consider an analytic theory describing the formation of a self-focusing structure of a laser beam in a plasma with relativistic nonlinearity for a given radial intensity distribution at the entrance and derive approximate analytic solutions. We study thre...

[Phys. Rev. E 99, 043201] Published Tue Apr 02, 2019

]]>We study the dynamics of one-dimensional (1D) interacting particles simulated with the event-chain Monte Carlo algorithm (ECMC). We argue that previous versions of the algorithm suffer from a mismatch in the factor potential between different particle pairs (factors) and show that in 1D models, this...

[Phys. Rev. E 99, 043301] Published Tue Apr 02, 2019

]]>The time-dependent solution of the Fokker-Planck equation with bistable potentials is considered in terms of the eigenfunctions and eigenvalues of the linear Fokker-Planck operator. The Fokker-Planck equation is the high friction limit of the corresponding Kramers' equation. Two different potentials...

[Phys. Rev. E 99, 042101] Published Mon Apr 01, 2019

]]>Thermal rectification and heat amplification are investigated in a nonequilibrium V-type three-level system with quantum interference. By applying the Redfield master equation combined with full counting statistics, we analyze the steady-state heat transport. The noise-induced interference is found ...

[Phys. Rev. E 99, 042102] Published Mon Apr 01, 2019

]]>Algorithms for community detection are usually stochastic, leading to different partitions for different choices of random seeds. Consensus clustering has proven to be an effective technique to derive more stable and accurate partitions than the ones obtained by the direct application of the algorit...

[Phys. Rev. E 99, 042301] Published Mon Apr 01, 2019

]]>Motivated by the observation of the storage of excess elastic free energy, prestress, in cross-linked semiflexible networks, we consider the problem of the conformational statistics of a single semiflexible polymer in a quenched random potential. The random potential, which represents the effect of ...

[Phys. Rev. E 99, 042501] Published Mon Apr 01, 2019

]]>Equilibrium and nonequilibrium molecular dynamics (MD) are used to investigate the thermal conductivity of binary hard-sphere fluids. It is found that the thermal conductivity of a mixture can not only lie outside the series and parallel bounds set by their pure component values, but can lie beyond ...

[Phys. Rev. E 99, 030102(R)] Published Fri Mar 29, 2019

]]>Liquid Sn droplets were irradiated with shaped bursts of picosecond laser pulses. The shapes of the deforming droplets following the impact of the recoil pressure induced by these bursts were imaged using a high-speed shadowgraph system. The rupture time ${\stackrel{\u0303}{t}}_{b}$ of the droplet expanding as a thin fluid ...

[Phys. Rev. E 99, 031102(R)] Published Fri Mar 29, 2019

]]>We investigate size effects in phononic energy transport in a system of two nanoparticles interconnected by a molecule and attached to thermal contacts also by molecules. In the considered closed system, the nanoparticles and contacts are described by ensembles of finite numbers of harmonic oscillat...

[Phys. Rev. E 99, 032141] Published Fri Mar 29, 2019

]]>In this paper, we apply machine learning methods to study phase transitions in certain statistical mechanical models on the two-dimensional lattices, whose transitions involve nonlocal or topological properties, including site and bond percolations, the $XY$ model, and the generalized $XY$ model. We fin...

[Phys. Rev. E 99, 032142] Published Fri Mar 29, 2019

]]>Stochastic thermodynamics is an extension of classical nonequilibrium thermodynamics to small systems, where fluctuations are expected to play an important role. A central difficulty met when developing such an extension is how to define a nonequilibrium fluctuating entropy. Typically, the expressio...

[Phys. Rev. E 99, 032143] Published Fri Mar 29, 2019

]]>We present a classical analog of the quantum metric tensor, which is defined for classical integrable systems that undergo an adiabatic evolution governed by slowly varying parameters. This classical metric measures the distance, on the parameter space, between two infinitesimally different points i...

[Phys. Rev. E 99, 032144] Published Fri Mar 29, 2019

]]>Collective behavior of an ensemble of directly or indirectly coupled oscillators can be a function of population density. Experiments using autonomous mercury beating heart (MBH) oscillators coupled through their surroundings are employed, to study the existence of quorum-like (population dependent)...

[Phys. Rev. E 99, 032223] Published Fri Mar 29, 2019

]]>The dynamics of a weakly dissipative Hamiltonian system submitted to stochastic perturbations has been investigated by means of asymptotic methods. The probability of noise-induced separatrix crossing, which drastically changes the fate of the system, is derived analytically in the case where noise ...

[Phys. Rev. E 99, 032224] Published Fri Mar 29, 2019

]]>For a reliable prediction of an epidemic or information spreading pattern in complex systems, well-defined measures are essential. In the susceptible-infected model on heterogeneous networks, the cluster of infected nodes in the intermediate-time regime exhibits too large fluctuation in size to use ...

[Phys. Rev. E 99, 032309] Published Fri Mar 29, 2019

]]>To measure, predict, and prevent social segregation, it is necessary to understand the factors that cause it. While in most available descriptions space plays an essential role, one outstanding question is whether and how this phenomenon is possible in a well-mixed social network. We define and solv...

[Phys. Rev. E 99, 032310] Published Fri Mar 29, 2019

]]>In a recent letter [S. Bouzat *et al.*, Phys. Rev. Lett. **120**, 178101 (2018)], a mathematical model for eyeball and pupil motion was developed allowing for the understanding of the postsaccadic oscillations (PSO) as inertial effects. The model assumes that the inner part of the iris, which defines the...

[Phys. Rev. E 99, 032422] Published Fri Mar 29, 2019

]]>The empirical Kohlrausch-Williams-Watts (KWW) relaxation function has been widely used to describe the nonexponential relaxation behavior of glassy polymers during their physical aging. The characteristic relaxation time (${\tau}_{\text{KWW}}$) and the stretching parameter (${\beta}_{\text{KWW}}$) of the KWW equation are obtained fro...

[Phys. Rev. E 99, 032502] Published Fri Mar 29, 2019

]]>We investigated the low speed impact on a granular bed by a hydrogel sphere and especially focused on the resultant crater diameter. Though the crater diameter depends only on the impact kinetic energy for the solid sphere impact cratering, it also depends on the elastic energy for the hydrogel sphe...

[Phys. Rev. E 99, 032906] Published Fri Mar 29, 2019

]]>We propose a mechanism for solving the “negative sign problem”—the inability to assign non-negative weights to quantum Monte Carlo configurations—for a toy model consisting of a frustrated triplet of spin-1/2 particles interacting antiferromagnetically. The introduced technique is based on the syste...

[Phys. Rev. E 99, 033306] Published Fri Mar 29, 2019

]]>In an electromagnetic code, a wave can be injected in the simulation domain by prescribing an oscillating field profile at the domain boundary. The process is straightforward when the field profile has a known analytical expression (typically, paraxial Gaussian beams). However, if the field profile ...

[Phys. Rev. E 99, 033307] Published Fri Mar 29, 2019

]]>Defining an entropy function out of equilibrium is an outstanding challenge. For stochastic lattice models in spatially uniform nonequilibrium steady states, definitions of temperature $T$ and chemical potential $\mu $ have been verified using coexistence with heat and particle reservoirs. For an appropria...

[Phys. Rev. E 99, 032137] Published Thu Mar 28, 2019

]]>We study negative differential thermal resistance (NDTR) of one-dimensional hard-point gas models. The models are non-integrable unless all particles have the same mass. We show that NDTR can exist in both the integrable case and the non-integrable case. In the integrable case, the existence of NDTR...

[Phys. Rev. E 99, 032138] Published Thu Mar 28, 2019

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