Two decades ago, Wang and Ong, [Phys. Rev. A **55**, 1522 (1997)] hypothesized that the local box-counting dimension of a discrete quantum spectrum should depend exclusively on the nearest-neighbor spacing distribution (NNSD) of the spectrum. In this Rapid Communication, we validate their hypothesis by ...

[Phys. Rev. E 97, 030202(R)] Published Tue Mar 13, 2018

]]>Numerical computations show that a stabilization of a periodic sequence of wave segments propagating through an excitable medium is possible only in a restricted domain within the parameter space. By application of a free-boundary approach, we demonstrate that at the boundary of this domain the para...

[Phys. Rev. E 97, 030201(R)] Published Fri Mar 09, 2018

]]>Inhibitory neural networks are found to encode high volumes of information through delayed inhibition. We show that inhibition delay increases storage capacity through a Stirling transform of the minimum capacity which stabilizes locally coherent oscillations. We obtain both the exact and asymptotic...

[Phys. Rev. E 97, 030301(R)] Published Fri Mar 09, 2018

]]>Thermal rectification is of importance not only for fundamental physics, but also for potential applications in thermal manipulations and thermal management. However, thermal rectification effect usually decays rapidly with system size. Here, we show that a mass-graded system, with two diffusive lea...

[Phys. Rev. E 97, 030101(R)] Published Thu Mar 08, 2018

]]>We investigate the flat phase of $D$-dimensional crystalline membranes embedded in a $d$-dimensional space and submitted to both metric and curvature quenched disorders using a nonperturbative renormalization group approach. We identify a second-order phase transition controlled by a finite-temperature,...

[Phys. Rev. E 97, 030102(R)] Published Thu Mar 08, 2018

]]>We consider nondemographic noise in the form of uncertainty in the *reaction step size* and reveal a dramatic effect this noise may have on the stability of self-regulating populations. Employing the reaction scheme $mA\to kA$ but allowing, e.g., the product number $k$ to be *a priori* unknown and sampled from...

[Phys. Rev. E 97, 020302(R)] Published Mon Feb 26, 2018

]]>The Kuramoto model with mixed signs of couplings is known to produce a traveling-wave synchronized state. Here, we consider an abrupt synchronization transition from the incoherent state to the traveling-wave state through a long-lasting metastable state with large fluctuations. Our explanation of t...

[Phys. Rev. E 97, 020203(R)] Published Tue Feb 20, 2018

]]>Motility-induced phase separation (MIPS) arises generically in fluids of self-propelled particles when interactions lead to a kinetic slowdown at high densities. Starting from a continuum description of scalar active matter akin to a generalized Cahn-Hilliard equation, we give a general prescription...

[Phys. Rev. E 97, 020602(R)] Published Tue Feb 20, 2018

]]>In the modern theory of critical phenomena, the liquid-vapor density diameter in simple fluids is generally expected to deviate from a rectilinear law approaching the critical point. However, by performing precise scannerlike optical measurements of the position of the ${\mathrm{SF}}_{6}$ liquid-vapor meniscus, in ...

[Phys. Rev. E 97, 020101(R)] Published Tue Feb 13, 2018

]]>Fractional Brownian motion, a stochastic process with long-time correlations between its increments, is a prototypical model for anomalous diffusion. We analyze fractional Brownian motion in the presence of a reflecting wall by means of Monte Carlo simulations. Whereas the mean-square displacement o...

[Phys. Rev. E 97, 020102(R)] Published Tue Feb 13, 2018

]]>Signal transduction networks can form highly interconnected systems within cells due to crosstalk between constituent pathways. To better understand the evolutionary design principles underlying such networks, we study the evolution of crosstalk for two parallel signaling pathways that arise via gen...

[Phys. Rev. E 97, 020402(R)] Published Thu Feb 08, 2018

]]>Recent studies on topological defects in conventional and active nematic liquid crystals have revealed their potential as sources of advanced functionality whereby the collective behavior of the constituent molecules or cells is controlled. On the other hand, the fact that they have high energies an...

[Phys. Rev. E 97, 020701(R)] Published Thu Feb 08, 2018

]]>We study the cooperation and segregation dynamics in a bimotility mixture of microorganisms which swim at low Reynolds numbers via periodic deformations along the body. We employ a multiparticle collision dynamics method to simulate a two component mixture of artificial swimmers, termed as Taylor li...

[Phys. Rev. E 97, 020401(R)] Published Wed Feb 07, 2018

]]>The flow of a charged-stabilized suspension through a single constricted channel is studied experimentally by tracking the particles individually. Surprisingly, the behavior is found to be qualitatively similar to that of inertial dry granular systems: For small values of the neck-to-particle size r...

[Phys. Rev. E 97, 021102(R)] Published Wed Feb 07, 2018

]]>We use toroidal droplets to study the breakup dynamics of a Newtonian liquid jet in the presence of rheologically nonlinear materials. We find that the droplets resist breakup for times that are longer than those in the presence of Newtonian liquids. More importantly, we show that our experiments ca...

[Phys. Rev. E 97, 021101(R)] Published Mon Feb 05, 2018

]]>Nonlinear classical dissipative systems present a rich phenomenology in their “route to chaos,” including period doubling, i.e., the system evolves with a period which is twice that of the driving. However, typically the attractor of a periodically driven quantum open system evolves with a period wh...

[Phys. Rev. E 97, 020202(R)] Published Fri Feb 02, 2018

]]>We introduce a guided network growth model, which we call the degree product rule process, that uses solely local information when adding new edges. For small numbers of candidate edges our process gives rise to a second-order phase transition, but becomes first order in the limit of global choice. ...

[Phys. Rev. E 97, 020301(R)] Published Fri Feb 02, 2018

]]>The dynamics of concentrated suspensions of the eye-lens protein alpha crystallin have been measured using x-ray photon correlation spectroscopy. Measurements were made at wave vectors corresponding to the first peak in the hard-sphere structure factor and volume fractions close to the critical volu...

[Phys. Rev. E 97, 020601(R)] Published Fri Feb 02, 2018

]]>An exact result concerning the energy transfers between nonlinear waves of a thin elastic plate is derived. Following Kolmogorov's original ideas in hydrodynamical turbulence, but applied to the Föppl–von Kármán equation for thin plates, the corresponding Kármán-Howarth-Monin relation and an equival...

[Phys. Rev. E 97, 020201(R)] Published Thu Feb 01, 2018

]]>Understanding the slowest relaxations of complex systems, such as relaxation of glass-forming materials, diffusion in nanoclusters, and folding of biomolecules, is important for physics, chemistry, and biology. For a kinetic system, the relaxation modes are determined by diagonalizing its transition...

[Phys. Rev. E 97, 021301(R)] Published Thu Feb 01, 2018

]]>How does a steady state with strong intermittency develop in time from an initial state which is statistically random? For passive sliders driven by various fluctuating surfaces, we show that the approach involves an indefinitely growing length scale which governs scaling properties. A simple model ...

[Phys. Rev. E 97, 010105(R)] Published Wed Jan 31, 2018

]]>We introduce and apply an efficient method for the precise simulation of stochastic dynamical processes on locally treelike graphs. Networks with cycles are treated in the framework of the cavity method. Such models correspond, for example, to spin-glass systems, Boolean networks, neural networks, o...

[Phys. Rev. E 97, 010104(R)] Published Mon Jan 29, 2018

]]>For a one-dimensional (1D) momentum conserving system, intensive studies have shown that generally its heat current autocorrelation function (HCAF) tends to decay in a power-law manner and results in the breakdown of the Fourier heat conduction law in the thermodynamic limit. This has been recognize...

[Phys. Rev. E 97, 010103(R)] Published Fri Jan 19, 2018

]]>Small-scale perturbations in the ablative Rayleigh-Taylor instability (ARTI) are often neglected because they are linearly stable when their wavelength is shorter than a linear cutoff. Using two-dimensional (2D) and three-dimensional (3D) numerical simulations, it is shown that linearly stable modes...

[Phys. Rev. E 97, 011203(R)] Published Tue Jan 16, 2018

]]>Disordered multihyperuniform many-particle systems are exotic amorphous states that allow exquisite color sensing capabilities due to their anomalous suppression of density fluctuations for distinct subsets of particles, as recently evidenced in photoreceptor mosaics in avian retina. Motivated by th...

[Phys. Rev. E 97, 010102(R)] Published Wed Jan 10, 2018

]]>We report measurements of the equations of state of a fully relaxed magnetohydrodynamic (MHD) laboratory plasma. Parcels of magnetized plasma, called Taylor states, are formed in a coaxial magnetized plasma gun, and are allowed to relax and drift into a closed flux conserving volume. Density, ion te...

[Phys. Rev. E 97, 011202(R)] Published Wed Jan 10, 2018

]]>The dynamics of coherent nonlinear wave groups is shown to be drastically different from the classical scenario of weakly nonlinear wave interactions. The coherent groups generate nonresonant (bound) waves which can be synchronized with other linear waves. By virtue of the revealed mechanism, the gr...

[Phys. Rev. E 97, 010202(R)] Published Mon Jan 08, 2018

]]>The theory of magnetic flux conservation is developed for a subsonic plasma implosion and used to describe the magnetic flux degradation in the MagLIF concept [S. A. Slutz *et al.*, Phys. Plasmas **17**, 056303 (2010)]. Depending on the initial magnetic Lewis and Péclet numbers and the electron Hall param...

[Phys. Rev. E 97, 011201(R)] Published Mon Jan 08, 2018

]]>According to the acoustic fluidization hypothesis, elastic waves at a characteristic frequency form inside seismic faults even in the absence of an external perturbation. These waves are able to generate a normal stress which contrasts the confining pressure and promotes failure. Here, we study the ...

[Phys. Rev. E 97, 010901(R)] Published Thu Jan 04, 2018

]]>Motivated by the recent experiment by Bordia *et al.* [Nat. Phys. **13**, 460 (2017)], we study the single particle delocalization phenomena of the Aubry-André (AA) model subjected to periodic drives. In two distinct cases we construct an equivalent classical description to illustrate that the drive-induc...

[Phys. Rev. E 97, 010101(R)] Published Wed Jan 03, 2018

]]>Optimal sequential inference, or filtering, for the state of a deterministic dynamical system requires simulation of the Frobenius-Perron operator, that can be formulated as the solution of a continuity equation. For low-dimensional, smooth systems, the finite-volume numerical method provides a solu...

[Phys. Rev. E 97, 010201(R)] Published Wed Jan 03, 2018

]]>The interactions following a reentrant phase transition of charged silica nanoparticles from one phase to two phases and back to one phase by varying the concentration of multivalent counterions have been examined. The observations are far beyond the framework of Debye-Hückel or even nonlinear Poiss...

[Phys. Rev. E 96, 060602(R)] Published Tue Dec 26, 2017

]]>In this work maximum entropy distributions in the space of steady states of metabolic networks are considered upon constraining the first and second moments of the growth rate. Coexistence of fast and slow phenotypes, with bimodal flux distributions, emerges upon considering control on the average g...

[Phys. Rev. E 96, 060401(R)] Published Thu Dec 21, 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

]]>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

]]>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

]]>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

]]>Tracking experiments in dense biological tissues reveal a diversity of sources for local energy injection at the cell scale. The effect of cell motility has been largely studied, but much less is known about the effect of the observed volume fluctuations of individual cells. We consider a microscopi...

[Phys. Rev. E 96, 050601(R)] Published Wed Nov 22, 2017

]]>We report a transition from a disordered state to an ordered state in the flow of nearly monodisperse granular matter flowing in an inclined channel with planar slide walls and a bumpy base, using discrete element method simulations. For low particle-sidewall friction coefficients, the flowing parti...

[Phys. Rev. E 96, 050901(R)] Published Wed Nov 22, 2017

]]>Boltzmann machines are physics informed generative models with broad applications in machine learning. They model the probability distribution of an input data set with latent variables and generate new samples accordingly. Applying the Boltzmann machines back to physics, they are ideal recommender ...

[Phys. Rev. E 96, 051301(R)] Published Thu Nov 16, 2017

]]>This work focuses on quantitative representation of transport in systems with quenched disorder. Explicit mapping of the quenched trap model to continuous time random walk is presented. Linear temporal transformation, $t\to t/{\mathrm{\Lambda}}^{1/\alpha}$, for a transient process in the subdiffusive regime is sufficient for asy...

[Phys. Rev. E 96, 050103(R)] Published Mon Nov 13, 2017

]]>The fluctuation-dissipation relation, a central result in nonequilibrium statistical physics, relates equilibrium fluctuations in a system to its linear response to external forces. Here we provide a direct experimental verification of this relation for viscously coupled oscillators, as realized by ...

[Phys. Rev. E 96, 050102(R)] Published Fri Nov 10, 2017

]]>We investigate percolation, a probabilistic model for continuous phase transition, on square and weighted planar stochastic lattices. In its thermal counterpart, entropy is minimally low where order parameter (OP) is maximally high and vice versa. In addition, specific heat, OP, and susceptibility e...

[Phys. Rev. E 96, 050101(R)] Published Tue Nov 07, 2017

]]>We analyze the statistics of the shortest and fastest paths on the road network between randomly sampled end points. We find that, to a good approximation, the optimal paths can be described as directed polymers in a disordered medium, which belong to the Kardar-Parisi-Zhang universality class of in...

[Phys. Rev. E 96, 050301(R)] Published Wed Nov 01, 2017

]]>We study the evolution of the concentration field in a single eddy in the two-dimensional (2D) Cahn-Hilliard system to better understand scalar mixing processes in that system. This study extends investigations of the classic studies of flux expulsion in 2D magnetohydrodynamics and homogenization of...

[Phys. Rev. E 96, 041101(R)] Published Tue Oct 31, 2017

]]>Visual evaluation of the surface anchoring energies in a nematic liquid crystal (LC) cell is characterized by the direction of the convection roll pattern that appears in the low-frequency conduction regime. The convection roll pattern in a twisted nematic LC (TNLC) cell is oriented perpendicular to...

[Phys. Rev. E 96, 040701(R)] Published Mon Oct 30, 2017

]]>We study the transition between steady flows of noncohesive granular materials in quasi-two-dimensional bounded heaps by suddenly changing the feed rate. In both experiments and simulations, the primary feature of the transition is a wedge of flowing particles that propagates downstream over the ris...

[Phys. Rev. E 96, 040902(R)] Published Mon Oct 30, 2017

]]>The inapplicability of the DLVO theory to multilayered anionic bilayers is found in terms of the co-ion-valence dependence of the lamellar repeat distance. Most of the added salt is expelled from the interlamellar space to the bulk due to the Gibbs-Donnan effect on multiple bilayers with the bulk. T...

[Phys. Rev. E 96, 040601(R)] Published Thu Oct 19, 2017

]]>Tunneling between two classically disconnected regular regions can be strongly affected by the presence of a chaotic sea in between. This phenomenon, known as chaos-assisted tunneling, gives rise to large fluctuations of the tunneling rate. Here we study chaos-assisted tunneling in the presence of A...

[Phys. Rev. E 96, 040201(R)] Published Wed Oct 18, 2017

]]>Single-cell gene expression is inherently stochastic; its emergent behavior can be defined in terms of the chemical master equation describing the evolution of the mRNA and protein copy numbers as the latter tends to infinity. We establish two types of “macroscopic limits”: the Kurtz limit is consis...

[Phys. Rev. E 96, 040402(R)] Published Wed Oct 18, 2017

]]>Analogies between fluid flows and granular flows are useful because they pave the way for continuum treatments of granular media. However, in practice it is impossible to predict under what experimental conditions the dynamics of fluids and granulates are qualitatively similar. In the case of unstea...

[Phys. Rev. E 96, 040901(R)] Published Thu Oct 12, 2017

]]>The networks of veins and arteries on the chorionic plate of the human placenta are analyzed in terms of Voronoi cells derived from these networks. Two groups of placentas from the United States are studied: a population cohort with no prescreening, and a cohort from newborns with an elevated risk o...

[Phys. Rev. E 96, 040401(R)] Published Mon Oct 02, 2017

]]>Passive filters allowing the exchange of particles in a narrow band of energy are currently used in microrefrigerators and energy transducers. In this Rapid Communication, we analyze their thermal properties using linear irreversible thermodynamics and kinetic theory, and discuss a striking phenomen...

[Phys. Rev. E 96, 030103(R)] Published Tue Sep 26, 2017

]]>An intruder penetrating into a granular column experiences a depth-dependent friction force $F\left(z\right)$. Different regimes of $F\left(z\right)$ have been measured depending on the experimental design: a nearly linear dependence for shallow penetrations, total saturation at large depths, and an exponential increase when...

[Phys. Rev. E 96, 030901(R)] Published Mon Sep 25, 2017

]]>The loop extrusion theory assumes that protein factors, such as cohesin rings, act as molecular motors that extrude chromatin loops. However, recent single molecule experiments have shown that cohesin does not show motor activity. To predict the physical mechanism involved in loop extrusion, we here...

[Phys. Rev. E 96, 030402(R)] Published Fri Sep 22, 2017

]]>Transitions between multiple stable states of nonlinear systems are ubiquitous in physics, chemistry, and beyond. Two types of behaviors are usually seen as mutually exclusive: unpredictable noise-induced transitions and predictable bifurcations of the underlying vector field. Here, we report a diff...

[Phys. Rev. E 96, 030201(R)] Published Mon Sep 18, 2017

]]>We investigate the mechanical properties of amorphous polymers by means of coarse-grained simulations and nonaffine lattice dynamics theory. A small increase of polymer chain bending stiffness leads first to softening of the material, while hardening happens only upon further strengthening of the ba...

[Phys. Rev. E 96, 030501(R)] Published Wed Sep 13, 2017

]]>Synchrotron diffuse x-ray scattering data reveal a dramatic softening of the molecular tilt modulus ${K}_{\theta}$ of the model biomembrane composed of DMPC lipids as the temperature is lowered towards the main phase transition temperature at ${T}_{M}={24}^{\phantom{\rule{0.16em}{0ex}}\circ}\mathrm{C}$. Spontaneous tilt occurs below ${T}_{M}$, suggesting that tilt is a ...

[Phys. Rev. E 96, 030401(R)] Published Tue Sep 12, 2017

]]>We investigate fluctuations of output work for a class of Stirling heat engines with working fluid composed of interacting units and compare these fluctuations to an average work output. In particular, we focus on engine performance close to a critical point where Carnot's efficiency may be attained...

[Phys. Rev. E 96, 030102(R)] Published Wed Sep 06, 2017

]]>A comparison of the arrival-time statistics of New York City’s subway trains indicates that some train lines may be more efficiently run than others.

[Phys. Rev. E 96, 030101(R)] Published Tue Sep 05, 2017

]]>The Sagdeev-Zaslavski (SZ) equation for wave turbulence is analytically derived, both in terms of a generating function and of a multipoint probability density function (PDF), for weakly interacting waves with initial random phases. When the initial amplitudes are also random, a one-point PDF equati...

[Phys. Rev. E 96, 021101(R)] Published Wed Aug 30, 2017

]]>We study the role of hydrodynamic interactions in the collective behavior of collections of microscopic active particles suspended in a fluid. We introduce a calculational framework that allows us to separate the different contributions to their collective dynamics from hydrodynamic interactions on ...

[Phys. Rev. E 96, 020603(R)] Published Tue Aug 29, 2017

]]>Computational studies of supercooled liquids often focus on various analyses of their “underlying inherent states”—the glassy configurations at zero temperature obtained by an infinitely fast (instantaneous) quench from equilibrium supercooled states. Similar protocols are also regularly employed in...

[Phys. Rev. E 96, 020104(R)] Published Mon Aug 28, 2017

]]>We study the real-time and real-space dynamics of charge in the one-dimensional Hubbard model in the limit of high temperatures. To this end, we prepare pure initial states with sharply peaked density profiles and calculate the time evolution of these nonequilibrium states, by using numerical forwar...

[Phys. Rev. E 96, 020105(R)] Published Mon Aug 28, 2017

]]>We study the phase diagram of a class of models in which a generalized cluster interaction can be quenched by an Ising exchange interaction and external magnetic field. The various phases are studied through winding numbers. They may be ordinary phases with local order parameters or exotic ones, kno...

[Phys. Rev. E 96, 020106(R)] Published Mon Aug 28, 2017

]]>This paper presents the finite-time version of the thermodynamic uncertainty relation for nonequilibrium steady states, which sets a bound on the magnitude of current fluctuations. The authors use a methodology that is similar to the proof for the long-time limit, but with large-deviation theory applied to an ensemble of many copies.

[Phys. Rev. E 96, 020103(R)] Published Fri Aug 25, 2017

]]>In a recent molecular dynamics simulation work it has been shown that glasses composed of hard spheres crystallize via cooperative, stochastic particle displacements called avalanches [E. Sanz *et al.*, Proc. Natl. Acad. Sci. USA **111**, 75 (2014)]. In this Rapid Communication we investigate if such a d...

[Phys. Rev. E 96, 020602(R)] Published Wed Aug 23, 2017

]]>We describe the effect of *kinetic interactions* of adsorbed atoms in a mesoscale model of epitaxial growth without elasticity. Our goal is to understand how atomic correlations due to kinetics leave their signature in mechanisms governing the motion of crystal line defects (steps) at the nanoscale. W...

[Phys. Rev. E 96, 020802(R)] Published Tue Aug 22, 2017

]]>The early-time regime of the Kardar-Parisi-Zhang (KPZ) equation in $1+1$ dimension, starting from a Brownian initial condition with a drift $w$, is studied using the exact Fredholm determinant representation. For large drift we recover the exact results for the droplet initial condition, whereas a vanis...

[Phys. Rev. E 96, 020102(R)] Published Mon Aug 14, 2017

]]>We show that fore-aft asymmetry, a generic feature of living organisms and some active matter systems, can have a strong influence on the collective properties of even the simplest flocking models. Specifically, an arbitrarily weak asymmetry favoring front neighbors changes qualitatively the phase d...

[Phys. Rev. E 96, 020601(R)] Published Mon Aug 14, 2017

]]>Athermal disordered systems can exhibit a remarkable response to an applied oscillatory shear: After a relatively few shearing cycles, the system falls into a configuration that had already been visited in a previous cycle. After this point the system repeats its dynamics periodically despite underg...

[Phys. Rev. E 96, 020101(R)] Published Thu Aug 10, 2017

]]>Here, we show a direct connection between density-based segregation and granular rheology that can lead to insight into both problems. Our results exhibit a transition in the rate of segregation during simple shear that occurs at $I\sim 0.5$ and mimics a coincident regime change in flow rheology. We propo...

[Phys. Rev. E 96, 020901(R)] Published Thu Aug 10, 2017

]]>We consider capillary condensation transitions occurring in open slits of width $L$ and finite height $H$ immersed in a reservoir of vapor. In this case the pressure at which condensation occurs is closer to saturation compared to that occurring in an infinite slit ($H=\infty $) due to the presence of two menis...

[Phys. Rev. E 96, 020801(R)] Published Fri Aug 04, 2017

]]>Although interdependent systems have usually been associated with increased fragility, we show that strengthening the interdependence between dynamical processes on different networks can make them more likely to survive over long times. By coupling the dynamics of networks that in isolation exhibit...

[Phys. Rev. E 96, 020301(R)] Published Thu Aug 03, 2017

]]>We develop statistical mechanics for stochastic growth processes and apply it to Laplacian growth by using its remarkable connection with a random matrix theory. The Laplacian growth equation is obtained from the variation principle and describes adiabatic (quasistatic) thermodynamic processes in th...

[Phys. Rev. E 96, 010103(R)] Published Thu Jul 20, 2017

]]>Machine learning is one of the most popular fields in computer science and has a vast number of applications. In this work we will propose a method that will use a neural network to locally identify crystal structures in a mixed phase Yukawa system consisting of fcc, hcp, and bcc clusters and disord...

[Phys. Rev. E 96, 011301(R)] Published Wed Jul 19, 2017

]]>Cells exhibit qualitatively different behaviors on substrates with different rigidities. The fact that cells are more polarized on the stiffer substrate motivates us to construct a two-dimensional cell with the distribution of focal adhesions dependent on substrate rigidities. This distribution affe...

[Phys. Rev. E 96, 010402(R)] Published Mon Jul 17, 2017

]]>The linear stability of viscous Keplerian flow around a gravitating center is studied using the rheological granular fluid model. The linear rheological instability triggered by the interplay of the shear rheology and Keplerian differential rotation of incompressible dense granular fluids is found. ...

[Phys. Rev. E 96, 010901(R)] Published Mon Jul 17, 2017

]]>Spontaneous formation of spinning pairs of particles, or torsions, is studied in a single-layer complex plasma crystal by reducing the discharge power at constant neutral gas pressure. At higher gas pressures, torsions spontaneously form below a certain power threshold. Further reduction of the disc...

[Phys. Rev. E 96, 011201(R)] Published Wed Jul 12, 2017

]]>Although time-dependent random media with short-range correlations lead to (possibly biased) normal tracer diffusion, anomalous fluctuations occur away from the most probable direction. This was pointed out recently in one-dimensional (1D) lattice random walks, where statistics related to the 1D Kar...

[Phys. Rev. E 96, 010102(R)] Published Mon Jul 10, 2017

]]>Viewing the ways a living cell can organize its metabolism as the phase space of a physical system, regulation can be seen as the ability to reduce the entropy of that space by selecting specific cellular configurations that are, in some sense, optimal. Here we quantify the amount of regulation requ...

[Phys. Rev. E 96, 010401(R)] Published Mon Jul 10, 2017

]]>We present a method of deriving a boundary condition for diffusion at a thin membrane from experimental data. Based on experimental results obtained for normal diffusion of ethanol in water, we show that the derived boundary condition at a membrane contains a term with a Riemann-Liouville fractional...

[Phys. Rev. E 96, 010101(R)] Published Wed Jul 05, 2017

]]>We study edge fluctuations of a flat colloidal membrane comprised of a monolayer of aligned filamentous viruses. Experiments reveal that a peak in the spectrum of the in-plane edge fluctuations arises for sufficiently strong virus chirality. Accounting for internal liquid crystalline degrees of free...

[Phys. Rev. E 95, 060701(R)] Published Fri Jun 30, 2017

]]>Analysis of the Vlasov-Maxwell equations from the perspective of turbulence cascade clarifies the role of electromagnetic work, and reveals the importance of the pressure-strain relation in generating internal energy. Particle-in-cell simulation demonstrates the relative importance of the several en...

[Phys. Rev. E 95, 061201(R)] Published Thu Jun 29, 2017

]]>Magnetic and dielectric solids are well-represented by the Ising model with dipolar interactions (IM+DI). The latter are long-ranged, fluctuating in sign, and anisotropic. Equilibrium studies have revealed novel consequences of these complicated interactions, but their effect on nonequilibrium behav...

[Phys. Rev. E 95, 060103(R)] Published Wed Jun 28, 2017

]]>We present a derivation of generalized Poisson-Boltzmann equations starting from classical theories of binary fluid mixtures, employing an approach based on the Legendre transform as recently applied to the case of local descriptions of the fluid free energy. Under specific symmetry assumptions, and...

[Phys. Rev. E 95, 060602(R)] Published Wed Jun 28, 2017

]]>We experimentally study quasi-two-dimensional dilute granular flow around intruders whose shape, size, and relative impact speed are systematically varied. Direct measurement of the flow field reveals that three in-principle independent measurements of the nonuniformity of the flow field are in fact...

[Phys. Rev. E 95, 060901(R)] Published Fri Jun 23, 2017

]]>A data-science approach to solving the ill-conditioned inverse problem for analytical continuation is proposed. The root of the problem lies in the fact that even tiny noise of imaginary-time input data has a serious impact on the inferred real-frequency spectra. By means of a modern regularization ...

[Phys. Rev. E 95, 061302(R)] Published Wed Jun 21, 2017

]]>We use lattice-Boltzmann and analytical calculations to investigate transient hydrodynamic finite-size effects induced by the use of periodic boundary conditions. These effects are inevitable in simulations at the molecular, mesoscopic, or continuum levels of description. We analyze the transient re...

[Phys. Rev. E 95, 061301(R)] Published Tue Jun 20, 2017

]]>We use large-scale computer simulations to explore the nonequilibrium aging dynamics in a microscopic model for colloidal gels. We find that gelation resulting from a kinetically arrested phase separation is accompanied by “anomalous” particle dynamics revealed by superdiffusive particle motion and ...

[Phys. Rev. E 95, 060601(R)] Published Thu Jun 15, 2017

]]>One of the most basic characterizations of the relationship between two random variables, $X$ and $Y$, is the value of their mutual information. Unfortunately, calculating it analytically and estimating it empirically are often stymied by the extremely large dimension of the variables. One might hope to...

[Phys. Rev. E 95, 060102(R)] Published Tue Jun 13, 2017

]]>Shifting our electricity generation from fossil fuel to renewable energy sources introduces large fluctuations to the power system. Here, we demonstrate how increased fluctuations, reduced damping, and reduced intertia may undermine the dynamical robustness of power grid networks. Focusing on fundam...

[Phys. Rev. E 95, 060203(R)] Published Fri Jun 09, 2017

]]>A fundamental issue in analyzing diffusion in heterogeneous media is interpreting the space dependence of the associated diffusion coefficient. This reflects the well-known Ito-Stratonovich dilemma for continuous stochastic processes with multiplicative noise. In order to resolve this dilemma it is ...

[Phys. Rev. E 95, 060101(R)] Published Tue Jun 06, 2017

]]>Ionic liquids are solvent-free electrolytes, some of which possess an intriguing self-assembly at finite length scale due to Coulombic interactions. Using a continuum framework (based on Onsager's relations), it is shown that bulk nanostructures arise via linear (supercritical) and nonlinear (subcri...

[Phys. Rev. E 95, 060201(R)] Published Fri Jun 02, 2017

]]>The equilibrium value of an observable defines a manifold in the phase space of an ergodic and equipartitioned many-body system. A typical trajectory pierces that manifold infinitely often as time goes to infinity. We use these piercings to measure both the relaxation time of the lowest frequency ei...

[Phys. Rev. E 95, 060202(R)] Published Fri Jun 02, 2017

]]>Through experiments and numerical simulations we explore the behavior of rf SQUID (radio frequency superconducting quantum interference device) metamaterials, which show extreme tunability and nonlinearity. The emergent electromagnetic properties of this metamaterial are sensitive to the degree of c...

[Phys. Rev. E 95, 050201(R)] Published Tue May 30, 2017

]]>Scientific explanation often requires inferring maximally predictive features from a given data set. Unfortunately, the collection of minimal maximally predictive features for most stochastic processes is uncountably infinite. In such cases, one compromises and instead seeks nearly maximally predict...

[Phys. Rev. E 95, 051301(R)] Published Thu May 25, 2017

]]>We make use of discrete-element-method numerical simulations of inelastic frictionless cylinders in simple shearing at different length-to-diameter ratios and solid volume fractions to analyze the rate of collisional dissipation of the fluctuation kinetic energy. We show that the nonspherical geomet...

[Phys. Rev. E 95, 050901(R)] Published Wed May 24, 2017

]]>We apply the concept of a frequency-dependent effective temperature based on the fluctuation-dissipation ratio to a driven Brownian particle in a nonequilibrium steady state. Using this system as a thermostat for a weakly coupled harmonic oscillator, the oscillator thermalizes according to a canonic...

[Phys. Rev. E 95, 050103(R)] Published Mon May 22, 2017

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