We study nonequilibrium processes in an isolated quantum system—the Dicke model—focusing on the role played by the transition from integrability to chaos and the presence of excited-state quantum phase transitions. We show that both diagonal and entanglement entropies are abruptly increased by the o…

[Phys. Rev. E 94, 012140] Published Tue Jul 26, 2016

]]>We investigate front propagation in systems with diffusive and subdiffusive behavior. The scaling behavior of moments of the diffusive problem, both in the standard and in the anomalous cases, is not enough to determine the features of the reactive front. In fact, the shape of the bulk of the probab…

[Phys. Rev. E 94, 012141] Published Tue Jul 26, 2016

]]>We investigate the phase transition of the quantum spin-1 anisotropic antiferromagnet on a square lattice. The model is described by the Heisenberg Hamiltonian with the nearest-neighbor coupling strengths ${J}_{1a}$ and ${J}_{1b}$ along the $x$ and $y$ directions, respectively, and next-nearest-neighbor coupling ${J}_{2}$. …

[Phys. Rev. E 94, 012142] Published Tue Jul 26, 2016

]]>We obtain graphicality conditions for general types of scale-free networks. The same conditions obtained for uncorrelated networks are obtained in the general case. Then an upper bound relating $\gamma $, the exponent of the degree distribution, with the cutoff exponent $\kappa $, as $\kappa <1/\gamma $ is established. This b…

[Phys. Rev. E 94, 012314] Published Tue Jul 26, 2016

]]>We simulate entangled linear polymers in free-standing thin film geometries where the confining dimension is on the same scale as or smaller than the bulk chain dimensions. We compare both film-averaged and layer-resolved, spatially inhomogeneous measures of the polymer structure and entanglement ne…

[Phys. Rev. E 94, 012503] Published Tue Jul 26, 2016

]]>Molecular dynamics simulation was used to study a model colloidal suspension at a range of packing fractions from the dilute limit up to the freezing point. This study builds on previous work by the authors which modeled the colloidal particles with a hard core surrounded by a Weeks-Chandler-Anderso…

[Phys. Rev. E 94, 012619] Published Tue Jul 26, 2016

]]>Many approaches of coarse graining have been developed under the names of Cosserat theory or polar-fluid theory for those materials in which some component elements undergo nonaffine deformations, such as elastic materials with inclusions or granular matters. For the complex elements such as living …

[Phys. Rev. E 94, 013004] Published Tue Jul 26, 2016

]]>We analyze a large number of high-order discrete velocity models for solving the Boltzmann–Bhatnagar-Gross-Krook equation for finite Knudsen number flows. Using the Chapman-Enskog formalism, we prove for isothermal flows a relation identifying the resolved flow regimes for low Mach numbers. Although…

[Phys. Rev. E 94, 013304] Published Tue Jul 26, 2016

]]>We study the joint action of the non-Poisson renewal events (NPR) yielding Continuous-time random walk (CTRW) with index $\alpha <1$ and two different generators of Hurst coefficient $H\ne 0.5$, one generating fractional Brownian motion (FBM) and another scaled Brownian motion (SBM). We discuss the ergodicity…

[Phys. Rev. E 94, 012136] Published Mon Jul 25, 2016

]]>We study a quantum Otto cycle in which the strokes are performed in finite time. The cycle involves energy measurements at the end of each stroke to allow for the respective determination of work. We then optimize for the work and efficiency of the cycle by varying the time spent in the different st…

[Phys. Rev. E 94, 012137] Published Mon Jul 25, 2016

]]>We present a functional renormalization group approach for the active to inactive phase transition in directed percolation-type systems, in which the transition is approached from the active, finite density phase. By expanding the effective potential for the density field around its minimum, we obta…

[Phys. Rev. E 94, 012138] Published Mon Jul 25, 2016

]]>By establishing a relation between information erasure and continuous phase transitions we generalize the Landauer bound to analog computing systems. The entropy production per degree of freedom during erasure of an analog variable (reset to standard value) is given by the logarithm of the configura…

[Phys. Rev. E 94, 012139] Published Mon Jul 25, 2016

]]>The experimental properties of intrinsic localized modes (ILMs) have long been compared with theoretical dynamical lattice models that make use of nonlinear onsite and/or nearest-neighbor intersite potentials. Here it is shown for a one-dimensional lumped electrical transmission line that a nonlinea…

[Phys. Rev. E 94, 012223] Published Mon Jul 25, 2016

]]>We study the dynamics of local bond orientation in regular hyperbranched polymers modeled by Vicsek fractals. The local dynamics is investigated through the temporal autocorrelation functions of single bonds and the corresponding relaxation forms of the complex dielectric susceptibility. We show tha…

[Phys. Rev. E 94, 012502] Published Mon Jul 25, 2016

]]>We report the effect of applied magnetic field on the morphology of cracks formed after evaporation of a colloidal suspension consisting of shape-anisotropic ellipsoidal particles on a glass substrate. The evaporation experiments are performed in sessile drop configuration, which usually leads to ac…

[Phys. Rev. E 94, 012618] Published Mon Jul 25, 2016

]]>Characterizing the complex spectrum of topological defects in ground states of curved crystals is a long-standing problem with wide implications, from the mathematical Thomson problem to diverse physical realizations, including fullerenes and particle-coated droplets. While the excess number of “top…

[Phys. Rev. E 94, 013003] Published Mon Jul 25, 2016

]]>In order to analyze the energy-level distribution in complex ions such as those found in warm dense plasmas, this paper provides values for high-order moments of the spin-orbit energy in a multielectron configuration. Using second-quantization results and standard angular algebra or fully analytical…

[Phys. Rev. E 94, 013206] Published Mon Jul 25, 2016

]]>A method is developed that allows analysis of quantum Monte Carlo simulations to identify errors in trial wave functions. The purpose of this method is to allow for the systematic improvement of variational wave functions by identifying degrees of freedom that are not well described by an initial tr…

[Phys. Rev. E 94, 013303] Published Mon Jul 25, 2016

]]>The entanglement and localization in eigenstates of strongly chaotic subsystems are studied as a function of their interaction strength. Excellent measures for this purpose are the von Neumann entropy, Havrda-Charvát-Tsallis entropies, and the averaged inverse participation ratio. All the entropies …

[Phys. Rev. E 94, 010205(R)] Published Fri Jul 22, 2016

]]>We numerically exhibit two strange phenomena of finite-size fluctuation in thermal equilibrium of a paradigmatic long-range interacting system having a second-order phase transition. One is a nonclassical finite-size scaling at the critical point, which differs from the prediction by statistical mec…

[Phys. Rev. E 94, 012133] Published Fri Jul 22, 2016

]]>Brownian motion is the only random process which is Gaussian, scale invariant, and Markovian. Dropping the Markovian property, i.e., allowing for memory, one obtains a class of processes called fractional Brownian motion, indexed by the Hurst exponent $H$. For $H=1/2$, Brownian motion is recovered. We d…

[Phys. Rev. E 94, 012134] Published Fri Jul 22, 2016

]]>We consider the random walk on a lattice with random transition rates and arbitrarily long-range jumps. We employ Bruggeman's effective-medium approximation (EMA) to find the disorder-averaged (coarse-grained) dynamics. The EMA procedure replaces the disordered system with a cleverly guessed referen…

[Phys. Rev. E 94, 012135] Published Fri Jul 22, 2016

]]>This paper proposes a mechanism for soliton ratchets in long Josephson junctions, in the absence of external forces and with a symmetric field potential. This is done by inducing a time-dependent phase shift in the potential in the sine-Gordon equation. The mechanism can also be applied to other similar models.

[Phys. Rev. E 94, 012221] Published Fri Jul 22, 2016

]]>We extend the semiclassical theory of short periodic orbits [M. Novaes *et al.*, Phys. Rev. E **80**, 035202(R) (2009)] to partially open quantum maps, which correspond to classical maps where the trajectories are partially bounced back due to a finite reflectivity $R$. These maps are representative of a c…

[Phys. Rev. E 94, 012222] Published Fri Jul 22, 2016

]]>Mean-square displacements of hydrogen atoms in glass-forming materials and proteins, as reported by incoherent elastic neutron scattering, show kinks in their temperature dependence. This crossover, known as the dynamical transition, connects two approximately linear regimes. It is often assigned to…

[Phys. Rev. E 94, 012616] Published Fri Jul 22, 2016

]]>We experimentally and numerically study the dependence of different navigation strategies regarding the effectivity of an active particle to reach a predefined target area. As the only control parameter, we vary the particle's propulsion velocity depending on its position and orientation relative to…

[Phys. Rev. E 94, 012617] Published Fri Jul 22, 2016

]]>Structure and dynamics at soft-matter interfaces play an important role in nature and technical applications. Optical single-molecule investigations are noninvasive and capable to reveal heterogeneities at the nanoscale. In this work we develop an autocorrelation function (ACF) approach to retrieve …

[Phys. Rev. E 94, 012804] Published Fri Jul 22, 2016

]]>This study deals with the elastohydrodynamic coupling that occurs in the flow of a liquid layer down an inclined plane lined with a deformable solid bilayer and its consequences on the stability of the free surface of the liquid layer. The fluid is Newtonian and incompressible, while the linear elas…

[Phys. Rev. E 94, 013111] Published Fri Jul 22, 2016

]]>The effects of an initial perturbation on Richtmyer-Meshkov instability are numerically studied by simulating the process of incident shock ($\mathrm{Ma}=1.27$) impacting different groups of initial multimode cosine interfaces formed by different amplitudes in initially nonuniform flows whose density is a Gaus…

[Phys. Rev. E 94, 013112] Published Fri Jul 22, 2016

]]>Plume dilution and transverse mixing can be considerably enhanced by helical flow occurring in three-dimensional heterogeneous anisotropic porous media. In this study, we perform tracer experiments in a fully three-dimensional flow-through chamber to investigate the effects of helical flow on plume …

[Phys. Rev. E 94, 013113] Published Fri Jul 22, 2016

]]>We have performed spectrally resolved x-ray scattering measurements on highly compressed polystyrene at pressures of several tens of TPa (100 Mbar) created by spherically convergent shocks at the National Ignition Facility. Scattering data of line radiation at 9.0 keV were recorded from the dense pl…

[Phys. Rev. E 94, 011202(R)] Published Thu Jul 21, 2016

]]>Random tessellations of the space represent a class of prototype models of heterogeneous media, which are central in several applications in physics, engineering, and life sciences. In this work, we investigate the statistical properties of $d$-dimensional isotropic Poisson geometries by resorting to …

[Phys. Rev. E 94, 012130] Published Thu Jul 21, 2016

]]>The residence time of a branching Brownian process is the amount of time that the mother particle and all its descendants spend inside a domain. Using the Feynman-Kac formalism, we derive the residence-time equation as well as the equations for its moments for a branching diffusion process with an a…

[Phys. Rev. E 94, 012131] Published Thu Jul 21, 2016

]]>Stochastic differential equations describe well many physical, biological, and sociological systems, despite the simplification often made in their derivation. Here the usage of simple stochastic differential equations to characterize and classify complex dynamical systems is proposed within a Bayes…

[Phys. Rev. E 94, 012132] Published Thu Jul 21, 2016

]]>An aging population is bringing new challenges to the management of escape routes and facility design in many countries. This paper investigates pedestrian movement properties of crowd with different age compositions. Three pedestrian groups are considered: young student group, old people group, and…

[Phys. Rev. E 94, 012312] Published Thu Jul 21, 2016

]]>The recently introduced concept of dynamic communicability is a valuable tool for ranking the importance of nodes in a temporal network. Two metrics, broadcast score and receive score, were introduced to measure the centrality of a node with respect to a model of contagion based on time-respecting w…

[Phys. Rev. E 94, 012313] Published Thu Jul 21, 2016

]]>The effect of the statistical properties of light on the value of the photoinduced reaction of the biological objects, which differ in the morphological and physiological characteristics, the optical properties, and the size of cells, was studied. The fruit of apple trees, the pollen of cherries, th…

[Phys. Rev. E 94, 012411] Published Thu Jul 21, 2016

]]>We consider well-known surface disclinations by cutting, joining, and folding pieces of paper card. The resulting shapes have a discrete, folded vertex whose geometry is described easily by Gauss's mapping, in particular, we can relate the degree of angular excess, or deficit, to the size of fold li…

[Phys. Rev. E 94, 013002] Published Thu Jul 21, 2016

]]>Dynamics of a charged particle in the canonical coordinates is a Hamiltonian system, and the well-known symplectic algorithm has been regarded as the *de facto* method for numerical integration of Hamiltonian systems due to its long-term accuracy and fidelity. For long-term simulations with high effic…

[Phys. Rev. E 94, 013205] Published Thu Jul 21, 2016

]]>Nematic elastomers and glasses are solids that display spontaneous distortion under external stimuli. Recent advances in the synthesis of sheets with controlled heterogeneities have enabled their actuation into nontrivial shapes with unprecedented energy density. Thus, these have emerged as powerful…

[Phys. Rev. E 94, 010701(R)] Published Wed Jul 20, 2016

]]>Group-level behavior of particles undergoing a velocity-jump process with hard-sphere interactions is investigated. We derive $N$-particle transport equations that include the possibility of collisions between particles and apply different approximation techniques to get expressions for the dependence…

[Phys. Rev. E 94, 012129] Published Wed Jul 20, 2016

]]>We investigate the emergence of different kinds of imperfectly synchronized states and chimera states in two interacting populations of nonlocally coupled Stuart-Landau oscillators. We find that the complete synchronization in population I and existence of solitary oscillators which escape from the …

[Phys. Rev. E 94, 012311] Published Wed Jul 20, 2016

]]>Bistability between attracting fixed points in neuronal networks has been hypothesized to underlie persistent activity observed in several cortical areas during working memory tasks. In network models this kind of bistability arises due to strong recurrent excitation, sufficient to generate a state …

[Phys. Rev. E 94, 012410] Published Wed Jul 20, 2016

]]>The temporal evolution of a plasma channel at the trail of a self-guided femtosecond laser pulse was studied experimentally and theoretically in air, nitrogen (with an admixture of ∼3% ${\mathrm{O}}_{2}$), and argon in a wide range of gas pressures (from 2 to 760 Torr). Measurements by means of transverse optical i…

[Phys. Rev. E 94, 013204] Published Wed Jul 20, 2016

]]>We investigate the stochastic thermodynamics of a two-particle Langevin system. Each particle is in contact with a heat bath at different temperatures ${T}_{1}$ and ${T}_{2}\left({T}_{1}\right)$, respectively. Particles are trapped by a harmonic potential and driven by a linear external force. The system can act as an auton…

[Phys. Rev. E 94, 012127] Published Tue Jul 19, 2016

]]>We use a canonical quantization procedure to set up a quantum Fokker-Planck-Kramers equation that accounts for quantum dissipation in a thermal environment. The dissipation term is chosen to ensure that the thermodynamic equilibrium is described by the Gibbs state. An expression for the quantum entr…

[Phys. Rev. E 94, 012128] Published Tue Jul 19, 2016

]]>Theoretical and experimental studies have shown that the fluctuations of *in vivo* systems break the fluctuation-dissipation theorem. One can thus ask what information is contained in the correlation functions of protein concentrations and how they relate to the response of the reactive network to a p…

[Phys. Rev. E 94, 012310] Published Tue Jul 19, 2016

]]>A theory is developed to describe the equilibrium adsorption and self-assembly of patchy colloids in microchannels. The adsorption theory is developed in classical density functional theory, with the adsorbed phase and fluid phase chemical potentials modeled using thermodynamic perturbation theory. …

[Phys. Rev. E 94, 012615] Published Tue Jul 19, 2016

]]>We present a theoretical study of the energetics of thin nematic shells with two charge-one-half defects and one charge-one defect. We determine the optimal arrangement: the defects are located on a great circle at the vertices of an isosceles triangle with angles of ${66}^{\circ}$ at the charge-one-half defec…

[Phys. Rev. E 94, 012703] Published Tue Jul 19, 2016

]]>While the existence of stable knotted and linked vortex lines has been established in many experimental and theoretical systems, their existence in oscillatory systems and systems with nonlocal coupling has remained elusive. Here, we present strong numerical evidence that stable knots and links such…

[Phys. Rev. E 94, 010204(R)] Published Mon Jul 18, 2016

]]>The equilibrium properties of a single quantum particle (qp) interacting with a classical gas for a wide range of temperatures that explore the system's behavior in the classical as well as in the quantum regime is investigated. Both the qp and the atoms are restricted to sites on a one-dimensional …

[Phys. Rev. E 94, 012120] Published Mon Jul 18, 2016

]]>In reconstituting $k$-mer models, extended objects that occupy several sites on a one-dimensional lattice undergo directed or undirected diffusion, and reconstitute—when in contact—by transferring a single monomer unit from one $k$-mer to the other; the rates depend on the size of participating $k$-mers. …

[Phys. Rev. E 94, 012121] Published Mon Jul 18, 2016

]]>The diagonal entropy was introduced as a good entropy candidate especially for isolated quantum systems out of equilibrium. Here we present an analytical calculation of the average diagonal entropy for systems undergoing unitary evolution and an external perturbation in the form of a cyclic quench. …

[Phys. Rev. E 94, 012122] Published Mon Jul 18, 2016

]]>Given a system with a finite heat capacity and a heat reservoir, and two values of initial temperatures, ${T}_{+}$ and ${T}_{-}(<{T}_{+})$, we inquire, in which case is the optimal work extraction larger: when the reservoir is an infinite source at ${T}_{+}$ and the system is a sink at ${T}_{-}$, or, when the reservoir is an inf…

[Phys. Rev. E 94, 012123] Published Mon Jul 18, 2016

]]>A model of stochastic evolutionary game dynamics with finite population of size $N+M$ was built. Among these individuals, $N$ individuals update strategies with aspiration updating, while the other $M$ individuals update strategies with imitation updating. In the proposed model, we obtain the expression o…

[Phys. Rev. E 94, 012124] Published Mon Jul 18, 2016

]]>Since the first suggestion of the Jarzynski equality many derivations of this equality have been presented in both the classical and the quantum context. While the approaches and settings differ greatly from one another, they all appear to rely on the condition that the initial state is a thermal Gi…

[Phys. Rev. E 94, 012125] Published Mon Jul 18, 2016

]]>We investigate the influence of spatially homogeneous multiplicative noise on the formation of localized patterns in the framework of the cubic-quintic complex Ginzburg-Landau equation. We find that for sufficiently large multiplicative noise the formation of stationary and temporally periodic dissi…

[Phys. Rev. E 94, 012219] Published Mon Jul 18, 2016

]]>Complex time series are widespread in physics and physiology. Multifractal analysis provides a tool to study the scaling dynamics of such time series. However, the temporal evolution of scaling dynamics has been ignored by traditional tools such as the multifractal spectrum. We present scaling maps …

[Phys. Rev. E 94, 012220] Published Mon Jul 18, 2016

]]>The optical properties of several scarab beetles have been previously studied but few attempts have been made to compare beetles in the same genus. To determine whether there is any relation between specimens of the same genus, we have studied and classified seven species from the *Chrysina* genus. Th…

[Phys. Rev. E 94, 012409] Published Mon Jul 18, 2016

]]>We report a theory capable of describing conformational transitions for single polymer adsorption in a poor solvent. We show that an additional molecular confinement effect near the contact line can act exactly like line tension, playing a critical role in the behavior of an absorbed polymer chain. …

[Phys. Rev. E 94, 012501] Published Mon Jul 18, 2016

]]>Results are presented from molecular dynamics simulations of Pb(l) nanodroplets containing dispersed Cu nanoparticles (NPs) and spreading on solid surfaces. Three-dimensional simulations are employed throughout, but droplet spreading and pinning are reduced to two-dimensional processes by modeling c…

[Phys. Rev. E 94, 012614] Published Mon Jul 18, 2016

]]>This work reports an experimental and a numerical study of the interfacial instability in a mercury-ferrofluid system caused by a spatially nonuniform magnetic field against the action of gravity and interfacial tension. The interface evolution is observed to be continuous till its movement is hinde…

[Phys. Rev. E 94, 012803] Published Mon Jul 18, 2016

]]>The Reynolds analogy and the extended Reynolds analogy for the Rayleigh problem are considered. For a viscous incompressible fluid we derive the Reynolds analogy as a function of the Prandtl number and the Eckert number. We show that for any positive Eckert number, the Reynolds analogy as a function…

[Phys. Rev. E 94, 013110] Published Mon Jul 18, 2016

]]>Fundamental properties of warm dense matter are described by the dielectric function, which gives access to the frequency-dependent electrical conductivity; absorption, emission, and scattering of radiation; charged particles stopping; and further macroscopic properties. Different approaches to the …

[Phys. Rev. E 94, 013203] Published Mon Jul 18, 2016

]]>We reply to the Comment of Becker, Nelissen, Cleuren, Partoens, and Van den Broeck [Phys. Rev. E **93**, 046101 (2016)] on our article [Arita, Krapivsky, and Mallick, Phys. Rev. E **90**, 052108 (2014)] about the transport properties of a class of generalized exclusion processes.

[Phys. Rev. E 94, 016101] Published Mon Jul 18, 2016

]]>Many models of heat engines have been studied with the tools of finite-time thermodynamics and an ensemble of independent quantum systems as the working fluid. Because of their convenient analytical properties, harmonic oscillators are the most frequently used example of a quantum system. We analyze…

[Phys. Rev. E 94, 012119] Published Fri Jul 15, 2016

]]>We study the dynamics of localized nonlinear patterns in a quasi-one-dimensional many-particle system near a subcritical pitchfork bifurcation. The normal form at the bifurcation is given and we show that these patterns can be described as solitary-wave envelopes. They are stable in a large temperat…

[Phys. Rev. E 94, 012217] Published Fri Jul 15, 2016

]]>We present the experimental evidence of deterministic coherence resonance in unidirectionally coupled two and three Rössler electronic oscillators with mismatch between their natural frequencies. The regularity in both the amplitude and the phase of chaotic fluctuations is experimentally proven by t…

[Phys. Rev. E 94, 012218] Published Fri Jul 15, 2016

]]>This paper analyzes the behavior of electricity grids in response to perturbations. The authors specifically consider the case of the addition of one extra edge and study the long-range response of the system, focusing on the power-law decay of the disturbance. They apply their findings to a real power grid and observe comparable behavior, although specific details such as the connectivity and the topology of the network might play a relevant role.

[Phys. Rev. E 94, 012307] Published Fri Jul 15, 2016

]]>We study the impact of random pinning fields on the emergence of synchrony in the Kuramoto model on complete graphs and uncorrelated random complex networks. We consider random fields with uniformly distributed directions and homogeneous and heterogeneous (Gaussian) field magnitude distribution. In …

[Phys. Rev. E 94, 012308] Published Fri Jul 15, 2016

]]>We consider the process of opinion formation in a society of interacting agents, where there is a set $B$ of socially accepted rules. In this scenario, we observed that agents, represented by simple feed-forward, adaptive neural networks, may have a conservative attitude (mostly in agreement with $B$) o…

[Phys. Rev. E 94, 012309] Published Fri Jul 15, 2016

]]>Living microorganisms are capable of a tactic response to external stimuli by swimming toward or away from the stimulus source; they do so by adapting their tactic signal transduction pathways to the environment. Their self-motility thus allows them to swim against a traveling tactic wave, whereas a…

[Phys. Rev. E 94, 012613] Published Fri Jul 15, 2016

]]>We develop the kinetic theory of dilute cohesive granular gases in which the attractive part is described by a square well potential. We derive the hydrodynamic equations from the kinetic theory with the microscopic expressions for the dissipation rate and the transport coefficients. We check the va…

[Phys. Rev. E 94, 012906] Published Fri Jul 15, 2016

]]>A variational approach has been recently employed to determine the ideal time-dependent injection rate $Q\left(t\right)$ that minimizes fingering formation when a fluid is injected in a Hele-Shaw cell filled with another fluid of much greater viscosity. However, such a calculation is approximate in nature, since…

[Phys. Rev. E 94, 013109] Published Fri Jul 15, 2016

]]>To demonstrate that phase separation is a main mechanism of pattern formation for one of the spatiotemporal patterns emerging in the Ag and Sb electrodeposition system, I performed numerical simulations to model the mixed system of conductive and insulative materials under a steady electric field. F…

[Phys. Rev. E 94, 010203(R)] Published Thu Jul 14, 2016

]]>The run-and-tumble walk, consisting of randomly reoriented ballistic excursions, models phenomena ranging from gas kinetics to bacteria motility. We evaluate the mean time required for this walk to find a fixed target within a two- or three-dimensional spherical confinement. We find that the mean se…

[Phys. Rev. E 94, 012117] Published Thu Jul 14, 2016

]]>We address the problem of diffusion on a comb whose teeth display varying lengths. Specifically, the length $\ell $ of each tooth is drawn from a probability distribution displaying power law behavior at large $\ell ,\phantom{\rule{0.16em}{0ex}}P\left(\ell \right)\sim {\ell}^{-(1+\alpha )}$ ($\alpha >0$). To start with, we focus on the computation of the anomalous diffusion c…

[Phys. Rev. E 94, 012118] Published Thu Jul 14, 2016

]]>In this paper, we report the occurrence of chimera patterns in a network of neuronal oscillators, which are coupled through *local*, synaptic *gradient* coupling. We discover a new chimera pattern, namely the *imperfect traveling chimera state*, where the incoherent traveling domain spreads into the coher…

[Phys. Rev. E 94, 012215] Published Thu Jul 14, 2016

]]>We report solutions for solitons of the “accessible” type in globally nonlocal nonlinear media of fractional dimension (FD), viz., for self-trapped modes in the space of effective dimension $2<D\le 3$ with harmonic-oscillator potential whose strength is proportional to the total power of the wave fiel…

[Phys. Rev. E 94, 012216] Published Thu Jul 14, 2016

]]>We consider a general class of stochastic networks and ask which network nodes need to be controlled, and how, to stabilize and switch between desired metastable (target) states in terms of the first and second statistical moments of the system. We first show that it is sufficient to directly interf…

[Phys. Rev. E 94, 012306] Published Thu Jul 14, 2016

]]>Domain growth plays an important role in many biological systems, and so the inclusion of domain growth in models of these biological systems is important to understanding how these systems function. In this work we present methods to include the effects of domain growth on the evolution of spatial …

[Phys. Rev. E 94, 012408] Published Thu Jul 14, 2016

]]>We determine the impact of the Friedel oscillations on the phase behavior, critical properties, and thermodynamic contours in films [two dimensions ($2\text{D}$)] and bulk phases [three dimensions ($3\text{D}$)]. Using expanded Wang-Landau simulations, we calculate the grand-canonical partition function and, in turn,…

[Phys. Rev. E 94, 012612] Published Thu Jul 14, 2016

]]>We devise an efficient methodology to provide a universal statistical description of advection-dominated dispersion ($\text{P\xe9clet}\to \infty $) in natural porous media including carbonates. First, we investigate the dispersion of tracer particles by direct numerical simulation (DNS). The transverse dispersion is fou…

[Phys. Rev. E 94, 013107] Published Thu Jul 14, 2016

]]>The flow instabilities of Rayleigh-Bénard convection in a cylinder with effect of uniform internal heat source are investigated numerically. The instabilities of the static state and of axisymmetric flows are investigated by linear stability analysis. The convection threshold depends on the strength…

[Phys. Rev. E 94, 013108] Published Thu Jul 14, 2016

]]>We propose a versatile “stabilization on demand” method for the suppression of modulation instability in oscillatory spatially extended nonlinear systems, based on a genetically optimized multifrequency spatiotemporal modulation of the potential. The method, which ensures full stabilization even for…

[Phys. Rev. E 94, 010202(R)] Published Wed Jul 13, 2016

]]>We report the two typical models of normal heat conduction in one-dimensional momentum-conserving systems. They show the Arrhenius and the non-Arrhenius temperature dependence. We construct the two corresponding phenomenologies, transition-state theory of thermally activated dissociation and the pre…

[Phys. Rev. E 94, 012115] Published Wed Jul 13, 2016

]]>We study the dynamics of Brownian particles in a heterogeneous one-dimensional medium with a spatially dependent diffusion coefficient of the form $D\left(x\right)\sim {\left|x\right|}^{c}$, at constant temperature. The particle's probability distribution function (PDF) is calculated both analytically, by solving Fick's diffusion e…

[Phys. Rev. E 94, 012116] Published Wed Jul 13, 2016

]]>A large variety of rhythms are observed in nature. Rhythms such as electroencephalogram signals in the brain can often be regarded as interacting. In this study, we investigate the dynamical properties of rhythmic systems in two populations of phase oscillators with different frequency distributions…

[Phys. Rev. E 94, 012213] Published Wed Jul 13, 2016

]]>We study the modeling and prediction of dynamical systems based on conventional models derived from measurements. Such algorithms are highly desirable in situations where the underlying dynamics are hard to model from physical principles or simplified models need to be found. We focus on symbolic re…

[Phys. Rev. E 94, 012214] Published Wed Jul 13, 2016

]]>We consider a class of biologically motivated stochastic processes in which a unicellular organism divides its resources (volume or damaged proteins, in particular) symmetrically or asymmetrically between its progeny. Assuming the final amount of the resource is controlled by a growth policy and sub…

[Phys. Rev. E 94, 012405] Published Wed Jul 13, 2016

]]>Allostery is indispensable for a protein to work, where a locally applied stimulus is transmitted to a distant part of the molecule. While the allostery due to chemical stimuli such as ligand binding has long been studied, the growing interest in mechanobiology prompts the study of the mechanically …

[Phys. Rev. E 94, 012406] Published Wed Jul 13, 2016

]]>We study the effect of network size on synchronized activity in living neuronal networks. Dissociated cortical neurons form synaptic connections in culture and generate synchronized spontaneous activity within 10 days *in vitro*. Using micropatterned surfaces to extrinsically control the size of neuro…

[Phys. Rev. E 94, 012407] Published Wed Jul 13, 2016

]]>We present a microfield approach for studying the dependence of the orientational polarization of the water in aqueous electrolyte solutions upon the salt concentration and temperature. The model takes into account the orientation of the solvent dipoles due to the electric field created by ions, and…

[Phys. Rev. E 94, 012611] Published Wed Jul 13, 2016

]]>This paper addresses the void fraction of polydisperse particles with a Weibull (or Rosin-Rammler) size distribution. It is demonstrated that the governing parameters of this distribution can be uniquely related to those of the lognormal distribution. Hence, an existing closed-form expression that p…

[Phys. Rev. E 94, 012905] Published Wed Jul 13, 2016

]]>[Phys. Rev. E 94, 019904] Published Wed Jul 13, 2016

]]>We propose a nonlocal Poisson-Fermi model for ionic solvent that includes ion size effects and polarization correlations among water molecules in the calculation of electrostatic potential. It includes the previous Poisson-Fermi models as special cases, and its solution is the convolution of a solut…

[Phys. Rev. E 94, 012114] Published Tue Jul 12, 2016

]]>In this article, the noise-assisted correlation integral (NCI) is proposed. The purpose of the NCI is to estimate the invariants of a dynamical system, namely the correlation dimension $\left(D\right)$, the correlation entropy $\left({K}_{2}\right)$, and the noise level $\left(\sigma \right)$. This correlation integral is induced by using random no…

[Phys. Rev. E 94, 012212] Published Tue Jul 12, 2016

]]>Cluster formation of oppositely charged colloidal particles is studied numerically. A simple Brownian dynamics method with a screened-Coulomb (Yukawa) potential is employed for numerical simulations. An equilibrium phase which consists of clusters and unassociated particles is obtained. It is shown …

[Phys. Rev. E 94, 012609] Published Tue Jul 12, 2016

]]>We build up a phenomenological picture in terms of the effective dynamics of a tracer confined in a cage experiencing random hops to capture some characteristics of glassy systems. This minimal description exhibits scale invariance properties for the small-displacement distribution that echo experim…

[Phys. Rev. E 94, 012610] Published Tue Jul 12, 2016

]]>Flows of hard granular materials depend strongly on the interparticle friction coefficient ${\mu}_{p}$ and on the inertial number $\mathcal{I}$, which characterizes proximity to the jamming transition where flow stops. Guided by numerical simulations, we derive the phase diagram of dense inertial flow of spherical parti…

[Phys. Rev. E 94, 012904] Published Tue Jul 12, 2016

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