Learning in restricted Boltzmann machine is typically hard due to the computation of gradients of log-likelihood function. To describe the network state statistics of the restricted Boltzmann machine, we develop an advanced mean-field theory based on the Bethe approximation. Our theory provides an e...

[Phys. Rev. E 91, 050101(R)] Published Mon May 18, 2015

]]>We propose a quantum absorption refrigerator driven by photons. The model uses a four-level system as its working substance and couples simultaneously to hot, cold, and solar heat reservoirs. Explicit expressions for the cooling power ${\stackrel{\u0307}{Q}}_{c}$ and coefficient of performance (COP) ${\eta}_{\text{COP}}$ are derived, with t...

[Phys. Rev. E 91, 050102(R)] Published Mon May 18, 2015

]]>We present results of molecular dynamics simulations for two-dimensional repulsively interacting colloids driven by a one-dimensional asymmetric and commensurate ratchet potential, switching on and off stochastically. This drives a time-averaged directed current of colloids, exhibiting resonance wit...

[Phys. Rev. E 91, 050301(R)] Published Mon May 18, 2015

]]>The Biham-Middleton-Levine (BML) traffic model, a cellular automaton with eastbound and northbound cars moving by turns on a square lattice, has been an underpinning model in the study of collective behavior by cars, pedestrians, and even internet packages. Contrary to initial beliefs that the model...

[Phys. Rev. E 91, 050801(R)] Published Mon May 18, 2015

]]>Conducting beads in a viscous fluid are subjected to a high voltage. The authors observe the formation of a mobile treelike structure that evolves towards dynamic states with higher total current, or equivalently, higher rates of entropy production.

[Phys. Rev. E 91, 050902(R)] Published Mon May 18, 2015

]]>The long-time effect of weak rotation on an internal solitary wave is the decay into inertia-gravity waves and the eventual emergence of a coherent, steadily propagating, nonlinear wave packet. There is currently no entirely satisfactory explanation as to why these wave packets form. Here the initia...

[Phys. Rev. E 91, 051201(R)] Published Mon May 18, 2015

]]>We study the effect of pulsed driving and kicked driving of the interaction term on the nonequilibrium phase transition in the Dicke model. Within the framework of Floquet theory, we observe the emergence of new nontrivial phases on impingement by such periodic pulses. Notably, our study reveals tha...

[Phys. Rev. E 91, 052129] Published Mon May 18, 2015

]]>We analyze dynamic behavior of chemically reactive species in a porous medium, subject to anomalous transport. In this context, we present transport experiments in a refraction-index-matched, three-dimensional, water-saturated porous medium. A pH indicator (Congo red) was used as either a conservati...

[Phys. Rev. E 91, 052130] Published Mon May 18, 2015

]]>A stochastic process, when subject to resetting to its initial condition at a constant rate, generically reaches a nonequilibrium steady state. We study analytically how the steady state is approached in time and find an unusual relaxation mechanism in these systems. We show that as time progresses ...

[Phys. Rev. E 91, 052131] Published Mon May 18, 2015

]]>In this work we consider a simple random walk embedded in a generic branched structure and we find a close-form formula to calculate the hitting time $H\left(i,f\right)$ between two arbitrary nodes $i$ and $j$. We then use this formula to obtain the set of hitting times $\left\{H\left(i,f\right)\right\}$ for combs and their expectation values, nam...

[Phys. Rev. E 91, 052132] Published Mon May 18, 2015

]]>The flow of sand on a rough inclined plane is investigated experimentally. We directly show that a jammed layer of grains spontaneously forms below the avalanche. Its properties and its relation with the rheology of the flowing layer of grains are presented and discussed. In a second part, we study ...

[Phys. Rev. E 91, 052202] Published Mon May 18, 2015

]]>The problem of estimating the size of the cooperatively rearranging regions (CRRs) in supercooled polymeric melts from an analysis of the $\alpha $-process in ordinary relaxation experiments is addressed. The mechanism whereby a CRR changes its configuration is viewed as consisting of two distinct steps: a ...

[Phys. Rev. E 91, 052603] Published Mon May 18, 2015

]]>Replica-exchange molecular dynamics (REMD) is a popular sampling method in the molecular simulation. By frequently exchanging the replicas at different temperatures, the molecule can jump out of the minima and sample efficiently in the conformational space. Although REMD has been shown to be practic...

[Phys. Rev. E 91, 052708] Published Mon May 18, 2015

]]>Interdependent networks have been shown to be extremely vulnerable based on the percolation model. Parshani *et al.* [Europhys. Lett. **92**, 68002 (2010)] further indicated that the more intersimilar networks are, the more robust they are to random failures. When traffic load is considered, how do the co...

[Phys. Rev. E 91, 052809] Published Mon May 18, 2015

]]>We develop accurate analytical relations for the droplet volume ratio, droplet length during breakup process, and pressure drop of asymmetric T junctions with a valve in each of the branches for producing unequal-sized droplets. An important advantage of this system is that after manufacturing the s...

[Phys. Rev. E 91, 053012] Published Mon May 18, 2015

]]>Basic flow generated in a viscous incompressible fluid by a “point” sink (source) of mass is revised. In practice, such flow can be modeled by sucking (pushing) fluid from a thin tube with a small porous sphere at one end. Intuitively, by sucking (pushing) fluid, one creates low (high) pressure near...

[Phys. Rev. E 91, 053013] Published Mon May 18, 2015

]]>An analog to the equations of compressible flow that is based on the inviscid Burgers equation is utilized to investigate the effect of spatial discreteness of energy release on the propagation of a detonation wave. While the traditional Chapman-Jouguet (CJ) treatment of a detonation wave assumes th...

[Phys. Rev. E 91, 053014] Published Mon May 18, 2015

]]>In this paper we consider resonant ion acceleration by a plasma jet originating from the magnetic reconnection region. Such jets propagate in the background magnetic field with significantly curved magnetic-field lines. Decoupling of ion and electron motions at the leading edge of the jet results in...

[Phys. Rev. E 91, 053104] Published Mon May 18, 2015

]]>Quantum discord is a measure of quantum correlations beyond the entanglement-separability paradigm. It is conceptualized by using the von Neumann entropy as a measure of disorder. We introduce a class of quantum correlation measures as differences between total and classical correlations, in a share...

[Phys. Rev. E 91, 052125] Published Fri May 15, 2015

]]>When many independent users try to route traffic through a network, the flow can easily become suboptimal as a consequence of congestion of the most efficient paths. The degree of this suboptimality is quantified by the so-called price of anarchy (POA), but so far there are no general rules for when...

[Phys. Rev. E 91, 052126] Published Fri May 15, 2015

]]>In this work we study the phase behavior of magnetic particles suspended in a simple nonmagnetic solvent. Magnetic particles are modelled as spherical particles carrying a three-dimensional, classical Heisenberg spin, whereas solvent molecules are treated as spherically symmetric Lennard-Jones parti...

[Phys. Rev. E 91, 052127] Published Fri May 15, 2015

]]>We investigate nonequilibrium underdamped Langevin dynamics of Brownian particles that interact through a harmonic potential with coupling constant $K$ and are in thermal contact with two heat baths at different temperatures. The system is characterized by a net heat flow and an entropy production in ...

[Phys. Rev. E 91, 052128] Published Fri May 15, 2015

]]>Mixed feedback loops combining transcriptional and posttranscriptional regulations are common in cellular regulatory networks. They consist of two genes, encoding a transcription factor and a small noncoding RNA (sRNA), which mutually regulate each other's expression. We present a theoretical and nu...

[Phys. Rev. E 91, 052706] Published Fri May 15, 2015

]]>A large number of eukaryotic cells are able to directly detect external chemical gradients with great accuracy and the ultimate limit to their sensitivity has been a topic of debate for many years. Previous work has been done to understand many aspects of this process but little attention has been p...

[Phys. Rev. E 91, 052707] Published Fri May 15, 2015

]]>We study the occurrence of events, subject to threshold, in a representative self-organized criticality (SOC) sandpile model and in high-resolution rainfall data. The predictability in both systems is analyzed by means of a decision variable sensitive to event clustering, and the quality of the pred...

[Phys. Rev. E 91, 052808] Published Fri May 15, 2015

]]>We present a quantum localization phenomenon that exists in periodically kicked three-dimensional rotors, but is absent in the commonly studied two-dimensional ones: edge localization. We show that under the condition of a fractional quantum resonance there are states of the kicked rotor that are st...

[Phys. Rev. E 91, 052911] Published Fri May 15, 2015

]]>We present an investigation of spiral waves pinned to circular and rectangular obstacles with different circumferences in both thin layers of the Belousov-Zhabotinsky reaction and numerical simulations with the Oregonator model. For circular objects, the area always increases with the circumference....

[Phys. Rev. E 91, 052912] Published Fri May 15, 2015

]]>In this paper we consider the motion of point particles in a particular type of one-degree-of-freedom, slowly changing, temporally periodic Hamiltonian. Through most of the time cycle, the particles conserve their action, but when a separatrix is approached and crossed, the conservation of action br...

[Phys. Rev. E 91, 052913] Published Fri May 15, 2015

]]>We present an experimental analysis of the effects of gravity level on the formation and rise dynamics of bubbles. Experiments were carried out with millimeter-diameter bubbles in the hypergravity environment provided by the large-diameter centrifuge of the European Space Agency. Bubble detachment f...

[Phys. Rev. E 91, 053009] Published Fri May 15, 2015

]]>We study the waves at the interface between two thin horizontal layers of immiscible fluids subject to high-frequency horizontal vibrations. Previously, the variational principle for energy functional, which can be adopted for treatment of quasistationary states of free interface in fluid dynamical ...

[Phys. Rev. E 91, 053010] Published Fri May 15, 2015

]]>We present numerical simulations of the flow confined in a wide gap Taylor-Couette system, with a rotating inner cylinder and variable length-to-gap aspect ratio. A complex experimental bifurcation scenario differing from the classical Ruelle-Takens route to chaos has been experimentally reported in...

[Phys. Rev. E 91, 053011] Published Fri May 15, 2015

]]>A recent model for radiative transfer that accounts for spatial coherence is extended in such a way as to retain temporal coherence. The method employs Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy techniques. Both spatial and temporal coherence are shown to affect the formation of atomic line spect...

[Phys. Rev. E 91, 053103] Published Fri May 15, 2015

]]>Semiflexible polymers in channels with a rectangular cross section are studied as models for DNA molecules confined to nanochannels. The authors find that the average extension of the polymers is approximately independent of the rectangle aspect ratio, whereas the extension variance depends strongly on both dimensions of the rectangle.

[Phys. Rev. E 91, 050601(R)] Published Thu May 14, 2015

]]>Based on Santos' general solution for the scaled-particle differential equation [Phys. Rev. E **86**, 040102(R) (2012)], we construct a free-energy functional for the hard-sphere system. The functional is obtained by a suitable generalization and extension of the set of scaled-particle variables using t...

[Phys. Rev. E 91, 052121] Published Thu May 14, 2015

]]>We develop a general recursion-transform (R-T) method for a two-dimensional resistor network with a zero resistor boundary. As applications of the R-T method, we consider a significant example to illuminate the usefulness for calculating resistance of a rectangular $m\times n$ resistor network with a null r...

[Phys. Rev. E 91, 052122] Published Thu May 14, 2015

]]>The ${J}_{1}\text{\u2212}{J}_{2}$ Ising model in the square lattice in the presence of an external field is studied by two approaches: the cluster variation method (CVM) and Monte Carlo simulations. The use of the CVM in the square approximation leads to the presence of a new equilibrium phase, not previously reported for ...

[Phys. Rev. E 91, 052123] Published Thu May 14, 2015

]]>In this article we generalize the classical Edgeworth expansion for the probability density function (PDF) of sums of a finite number of symmetric independent identically distributed random variables with a finite variance to PDFs with a diverging variance, which converge to a Lévy $\alpha $-stable density ...

[Phys. Rev. E 91, 052124] Published Thu May 14, 2015

]]>Colloidal suspensions flowing through microchannels were studied for the effects of both the shear flow and the proximity of walls on the particles' self-diffusion. Use of hydrostatic pressure to pump micron-sized silica spheres dispersed in water-glycerol mixture through poly(dimethylsiloxane) chan...

[Phys. Rev. E 91, 052305] Published Thu May 14, 2015

]]>The average mean-square displacement, $\langle {r}^{2}\rangle $, of $H$ atoms in a protein is frequently determined using incoherent neutron-scattering experiments. $\langle {r}^{2}\rangle $ is obtained from the observed elastic incoherent dynamic structure factor, ${S}_{i}(Q,\omega =0)$, assuming the form ${S}_{i}(Q,\omega =0)=exp(-{Q}^{2}\langle \phantom{\rule{4pt}{0ex}}{r}^{2}\rangle /3)$. This is often referred...

[Phys. Rev. E 91, 052705] Published Thu May 14, 2015

]]>We introduce network $L$-cloning, a technique for creating ensembles of random networks from any given real-world or artificial network. Each member of the ensemble is an $L$-cloned network constructed from $L$ copies of the original network. The degree distribution of an $L$-cloned network and, more import...

[Phys. Rev. E 91, 052807] Published Thu May 14, 2015

]]>We present a structural phase-field crystal model [M. Greenwood *et al.*, Phys. Rev. Lett. **105**, 045702 (2010)] that yields a stable $dc$ structure. The stabilization of a $dc$ structure is accomplished by constructing a two-body direct correlation function (DCF) approximated by a combination of two Gauss...

[Phys. Rev. E 91, 053305] Published Thu May 14, 2015

]]>Based on two capacitively coupled quantum dots in the Coulomb-blockade regime, a model of three-terminal quantum-dot refrigerators is proposed. With the help of the master equation, the transport properties of steady-state charge current and energy flow between two quantum dots and thermal reservoir...

[Phys. Rev. E 91, 052118] Published Wed May 13, 2015

]]>The random search problem is a challenging and interdisciplinary topic of research in statistical physics. Realistic searches usually take place in nonuniform heterogeneous distributions of targets, e.g., patchy environments and fragmented habitats in ecological systems. Here we present a comprehens...

[Phys. Rev. E 91, 052119] Published Wed May 13, 2015

]]>We numerically study the critical behavior of the one-dimensional $XY$ model of the size $N$ with variable interaction range $L$. As expected, the standard local order parameter of the magnetization is shown to well detect the mean-field-type transition which occurs at any nonzero value of $L/N$. The system...

[Phys. Rev. E 91, 052120] Published Wed May 13, 2015

]]>The prevalence of heterogeneous nucleation in nature was explained qualitatively by the classical theory for heterogeneous nucleation established over more than 60 years ago, but the quantitative validity and the key conclusions of the theory have remained unconfirmed. Employing the forward flux sam...

[Phys. Rev. E 91, 052402] Published Wed May 13, 2015

]]>The Gaussian chain model is the classical description of a polymeric chain, which provides analytical results regarding end-to-end distance, the distribution of segments around the mass center of a chain, coarse-grained interactions between two chains and effective interactions in binary mixtures. T...

[Phys. Rev. E 91, 052602] Published Wed May 13, 2015

]]>The quantum ratchet current is studied in the parameter space of the dissipative kicked rotor model coupled to a zero-temperature quantum environment. We show that vacuum fluctuations blur the generic isoperiodic stable structures found in the classical case. Such structures tend to survive when a m...

[Phys. Rev. E 91, 052908] Published Wed May 13, 2015

]]>Forecasting a time series from multivariate predictors constitutes a challenging problem, especially using model-free approaches. Most techniques, such as nearest-neighbor prediction, quickly suffer from the curse of dimensionality and overfitting for more than a few predictors which has limited the...

[Phys. Rev. E 91, 052909] Published Wed May 13, 2015

]]>We study the transient behavior in coupled dissipative dynamical systems based on the linear analysis around the steady state. We find that the transient time is minimized at a specific set of system parameters and show that at this parameter set, two eigenvalues and two eigenvectors of the Jacobian...

[Phys. Rev. E 91, 052910] Published Wed May 13, 2015

]]>We formulate a smoothed-particle hydrodynamics numerical method, traditionally used for the Euler equations for fluid dynamics in the context of astrophysical simulations, to solve the nonlinear Schrödinger equation in the Madelung formulation. The probability density of the wave function is discret...

[Phys. Rev. E 91, 053304] Published Wed May 13, 2015

]]>In a recent work, a new numerical method (the lifespan method) has been introduced to study the critical properties of epidemic processes on complex networks [M. Boguñá, C. Castellano, and R. Pastor-Satorras, Phys. Rev. Lett. **111**, 068701 (2013)]. Here, we present a detailed analysis of the viability...

[Phys. Rev. E 91, 052117] Published Tue May 12, 2015

]]>We present a composite generalized Langevin equation as a unified framework for bridging the hydrodynamic, Brownian, and adhesive spring forces associated with a nanoparticle at different positions from a wall, namely, a bulklike regime, a near-wall regime, and a lubrication regime. The particle vel...

[Phys. Rev. E 91, 052303] Published Tue May 12, 2015

]]>Catalytically active colloids maintain nonequilibrium conditions in which they produce and deplete chemicals and hence effectively act as sources and sinks of molecules. While individual colloids that are symmetrically coated do not exhibit any form of dynamical activity, the concentration fields re...

[Phys. Rev. E 91, 052304] Published Tue May 12, 2015

]]>Boiling crisis is a transition between nucleate and film boiling. It occurs at a threshold value of the heat flux from the heater called CHF (critical heat flux). Usually, boiling crisis studies are hindered by the high CHF and short transition duration (below 1 ms). Here we report on experiments in...

[Phys. Rev. E 91, 053007] Published Tue May 12, 2015

]]>We report a comprehensive study of the flow of liquid triggered by injecting a droplet into a liquid foam microchannel, also called a Plateau border. This drop-injected experiment reveals an intricate dynamics for the liquid redistribution, with two contrasting regimes observed, ruled either by iner...

[Phys. Rev. E 91, 053008] Published Tue May 12, 2015

]]>A method to estimate the index of refraction in warm and hot dense matter is proposed. This method combines the Kubo-Greenwood approach, Maxwell equations, and existing codes that calculate photoabsorption and photoemission coefficients in warm and hot dense plasmas. An effective electrical conducti...

[Phys. Rev. E 91, 053102] Published Tue May 12, 2015

]]>An efficient and simple approach of measuring the absolute free energy as a function of temperature for spin lattice models using a two-stage parallel tempering Monte Carlo and the free energy perturbation method is discussed and the results are compared with those of population annealing Monte Carl...

[Phys. Rev. E 91, 053303] Published Tue May 12, 2015

]]>We investigate the rate of thermalization of local operators in the one-dimensional anisotropic antiferromagnetic Heisenberg model with next-nearest neighbor interactions that break integrability. This is done by calculating the scaling of the difference of the diagonal and canonical thermal ensembl...

[Phys. Rev. E 91, 052111] Published Mon May 11, 2015

]]>The nonextensive entropic measure proposed by Tsallis [C. Tsallis, J. Stat. Phys. **52**, 479 (1988)] introduces a parameter, $q$, which is not defined but rather must be determined. The value of $q$ is typically determined from a piece of data and then fixed over the range of interest. On the other hand, f...

[Phys. Rev. E 91, 052112] Published Mon May 11, 2015

]]>The family of $q$-Gaussian and $q$-exponential probability densities fit the statistical behavior of diverse complex self-similar nonequilibrium systems. These distributions, independently of the underlying dynamics, can rigorously be obtained by maximizing Tsallis “nonextensive” entropy under appropria...

[Phys. Rev. E 91, 052113] Published Mon May 11, 2015

]]>The authors consider a reversible driving mechanism operating between two states of a small system. In a coarse-grained description of the system that hides the driving mechanism, the estimated entropy production will be higher than the true one, contrary to what would be expected.

[Phys. Rev. E 91, 052114] Published Mon May 11, 2015

]]>We present a simple paradigm for detection of an immobile target by a space-time coupled random walker with a finite lifetime. The motion of the walker is characterized by linear displacements at a fixed speed and exponentially distributed duration, interrupted by random changes in the direction of ...

[Phys. Rev. E 91, 052115] Published Mon May 11, 2015

]]>We discuss relaxation and aging processes in the one- and two-dimensional $ABC$ models. In these driven diffusive systems of three particle types, biased exchanges in one direction yield a coarsening process characterized in the long-time limit by a logarithmic growth of ordered domains that take the ...

[Phys. Rev. E 91, 052116] Published Mon May 11, 2015

]]>The discontinuous shear thickening (DST) of dense suspensions is a remarkable phenomenon in which the viscosity can increase by several orders of magnitude at a critical shear rate. It has the appearance of a first-order phase transition between two hypothetical “states” that we have recently identi...

[Phys. Rev. E 91, 052302] Published Mon May 11, 2015

]]>We present numerical studies of first-order and continuous filling transitions in wedges of arbitrary opening angle $\psi $, using a microscopic fundamental measure density functional model with short-ranged fluid-fluid forces and long-ranged wall-fluid forces. In this system the wetting transition charac...

[Phys. Rev. E 91, 052401] Published Mon May 11, 2015

]]>We investigate the emergence of chiral meso-structures in one-dimensional fluids consisting of stacked discotic particles and demonstrate that helical undulations are generated spontaneously from internal elastic stresses. The stability of these helical conformations arises from an interplay between...

[Phys. Rev. E 91, 052502] Published Mon May 11, 2015

]]>We explore the dynamics of topological point defects on surfaces of magnetically responsive colloidal microspheres in a uniformly aligned nematic liquid crystal host. We show that pinning of the liquid crystal director to a particle surface with random nanostructured morphology results in unexpected...

[Phys. Rev. E 91, 052503] Published Mon May 11, 2015

]]>Several independent observations have suggested that the catastrophe transition in microtubules is not a first-order process, as is usually assumed. Recent *in vitro* observations by Gardner *et al.* [M. K. Gardner *et al.*, Cell **147**, 1092 (2011)] showed that microtubule catastrophe takes place via multi...

[Phys. Rev. E 91, 052704] Published Mon May 11, 2015

]]>Repeated game theory has been one of the most prevailing tools for understanding long-running relationships, which are the foundation in building human society. Recent works have revealed a new set of “zero-determinant” (ZD) strategies, which is an important advance in repeated games. A ZD strategy ...

[Phys. Rev. E 91, 052803] Published Mon May 11, 2015

]]>In this work the authors study the spontaneous emergence of leadership and consensus in large heterogeneous populations. They find that the presence of agents acting at very different time scales and a hierarchical organization among them may give rise to a phase in which a fraction of agents self-organize and lead the global behavior of the population.

[Phys. Rev. E 91, 052804] Published Mon May 11, 2015

]]>In this paper we analyze the second-order Kuramoto model in the presence of a positive correlation between the heterogeneity of the connections and the natural frequencies in scale-free networks. We numerically show that discontinuous transitions emerge not just in disassortative but also in strongl...

[Phys. Rev. E 91, 052805] Published Mon May 11, 2015

]]>We study the synchronization of a stochastically driven, current-based, integrate-and-fire neuronal model on a preferential-attachment network with scale-free characteristics and high clustering. The synchrony is induced by cascading total firing events where every neuron in the network fires at the...

[Phys. Rev. E 91, 052806] Published Mon May 11, 2015

]]>We analyze the replicator-mutator equations for the rock-paper-scissors game. Various graph-theoretic patterns of mutation are considered, ranging from a single unidirectional mutation pathway between two of the species, to global bidirectional mutation among all the species. Our main result is that...

[Phys. Rev. E 91, 052907] Published Mon May 11, 2015

]]>We consider the regime of fully developed isotropic and homogeneous turbulence of the Navier-Stokes equation with a stochastic forcing. We present two *gauge* symmetries of the corresponding Navier-Stokes field theory and derive the associated general Ward identities. Furthermore, by introducing a loc...

[Phys. Rev. E 91, 053004] Published Mon May 11, 2015

]]>We present numerical simulations of the different two-dimensional flow regimes generated by a constant spatially periodic forcing balanced by viscous dissipation and large-scale drag with a dimensionless damping rate $1/\mathrm{Rh}$. The linear response to the forcing is a $6\times 6$ square array of counterrotating v...

[Phys. Rev. E 91, 053005] Published Mon May 11, 2015

]]>The present work discusses the implications of wall wettability and inclination of the surface on droplet dynamics. In this work, mesoscopic illustration of droplet dynamics in a duct with different inclination angles, based on the two-phase lattice Boltzmann model, is reported. Temporal evolution o...

[Phys. Rev. E 91, 053006] Published Mon May 11, 2015

]]>Permeability of porous materials is an important characteristic which is extensively used in various engineering disciplines. There are a number of issues that influence the permeability coefficient among which the porosity, size of particles, pore shape, tortuosity, and particle size distribution a...

[Phys. Rev. E 91, 053301] Published Mon May 11, 2015

]]>Modeling physical data with linear discrete-time series, namely, the autoregressive fractionally integrated moving average (ARFIMA) model, is a technique that has attracted attention in recent years. However, this model is used mainly as a statistical tool only, with weak emphasis on the physical ba...

[Phys. Rev. E 91, 053302] Published Mon May 11, 2015

]]>Macroscopic systems with dissipation and time-modulated injection of energy, parametrically driven systems, can self-organize into localized states and/or patterns. We investigate a pulse that travels over a one-dimensional pattern in parametrically driven systems. Based on a minimal prototype model...

[Phys. Rev. E 91, 050901(R)] Published Fri May 08, 2015

]]>We investigate the critical behavior of three-dimensional antiferromagnetic ${\text{CP}}^{N-1}$ $\left({\text{ACP}}^{N-1}\right)$ models in cubic lattices, which are characterized by a global $\text{U}\left(N\right)$ symmetry and a local U(1) gauge symmetry. Assuming that critical fluctuations are associated with a staggered gauge-invariant (Hermitian trace...

[Phys. Rev. E 91, 052109] Published Fri May 08, 2015

]]>We explore fluctuation relations in a periodically driven micromechanical torsional oscillator. In the linear regime where the modulation is weak, we verify that the ratio of the work variance to the mean work is constant, consistent with conventional fluctuation theorems. We then increase the ampli...

[Phys. Rev. E 91, 052110] Published Fri May 08, 2015

]]>The glass transition of mesoscopic charged particles in two-dimensional confinement is studied by mode-coupling theory. We consider two types of effective interactions between the particles, corresponding to two different models for the distribution of surrounding ions that are integrated out in coa...

[Phys. Rev. E 91, 052301] Published Fri May 08, 2015

]]>We model long-range correlations of nucleotides in the human DNA sequence using the long-range one-dimensional (1D) Ising model. We show that, for distances between ${10}^{3}$ and ${10}^{6}$ bp, the correlations show a universal behavior and may be described by the non-mean-field limit of the long-range 1D Ising ...

[Phys. Rev. E 91, 052703] Published Fri May 08, 2015

]]>To fully characterize the information that two source variables carry about a third target variable, one must decompose the total information into redundant, unique, and synergistic components, i.e., obtain a partial information decomposition (PID). However, Shannon's theory of information does not ...

[Phys. Rev. E 91, 052802] Published Fri May 08, 2015

]]>The largest Lyapunov exponent has been examined in the dynamical-mode locking phenomena of the ac+dc driven dissipative Frenkel-Kontorova model with deformable substrate potential. Due to deformation, large fractional and higher order subharmonic steps appear in the response function of the system. ...

[Phys. Rev. E 91, 052904] Published Fri May 08, 2015

]]>We studied the behavior of a dumbbell bouncing upon a sinusoidally vibrating plate. By introducing chiral asymmetry to the geometry of the dumbbell, we observed a cascade of bifurcations with an increase in the vibration amplitude: spinning, orbital, and rolling. In contrast, for an achiral dumbbell...

[Phys. Rev. E 91, 052905] Published Fri May 08, 2015

]]>Clustering of inertial particles is analyzed in chaotic compressible flows. A simplified dynamical model for the motion of inertial particles in a compressible flow has been derived. Clustering enhancement has been observed for intermediate Stokes times and characterized in terms of the number of pa...

[Phys. Rev. E 91, 052906] Published Fri May 08, 2015

]]>Employing a numerical simulation, the normal modes are investigated for finite, one-dimensional horizontal dust chains in complex plasma. Mode couplings induced by the ion flow within the sheath are identified in the mode spectra and the coupling rules are determined. Two types of resonance-induced ...

[Phys. Rev. E 91, 053101] Published Fri May 08, 2015

]]>We develop a theoretical framework for analyzing ecological models with a multidimensional niche space. Our approach relies on the fact that ecological niches are described by sequences of symbols, which allows us to include multiple phenotypic traits. Ecological drivers, such as competitive exclusi...

[Phys. Rev. E 91, 052107] Published Thu May 07, 2015

]]>We study the spread harmonic measure that characterizes the spatial distribution of reaction events on a partially reactive surface. For Euclidean domains in which Brownian motion can be split into independent lateral and transverse displacements, we derive analytical formulas for the spread harmoni...

[Phys. Rev. E 91, 052108] Published Thu May 07, 2015

]]>In a previous publication [R. Wittmann, M. Marechal, and K. Mecke, Europhys. Lett. **109**, 26003 (2015)], we introduced fundamental mixed measure theory (FMMT) for mixtures of anisotropic hard bodies, which shows that earlier results with an empirical parameter are inaccurate. Now we provide a deeper i...

[Phys. Rev. E 91, 052501] Published Thu May 07, 2015

]]>The solution of the many-body statistical mechanical theory of elasticity formulated by James and Guth in the 1940s [H. M. James, J. Chem. Phys. **15**, 651 (1947)] is presented. The remarkable aspect of the solution is that it gives an elastic free energy that is essentially equivalent to that develope...

[Phys. Rev. E 91, 052601] Published Thu May 07, 2015

]]>We consider a leaky integrate-and-fire neuron with deterministic subthreshold dynamics and a firing threshold that evolves as an Ornstein-Uhlenbeck process. The formulation of this minimal model is motivated by the experimentally observed widespread variation of neural firing thresholds. We show num...

[Phys. Rev. E 91, 052701] Published Thu May 07, 2015

]]>The spin-echo approach is extended to include biocomplexes for which the interaction with dynamical noise, produced by the protein environment, is strong. Significant restoration of the free induction decay signal due to homogeneous (decoherence) and inhomogeneous (dephasing) broadening is demonstra...

[Phys. Rev. E 91, 052702] Published Thu May 07, 2015

]]>In many real-world complex systems, the time evolution of the network's structure and the dynamic state of its nodes are closely entangled. Here we study opinion formation and imitation on an adaptive complex network which is dependent on the individual dynamic state of each node and vice versa to m...

[Phys. Rev. E 91, 052801] Published Thu May 07, 2015

]]>The effects of amplitude-dependent coupling on oscillator death (OD) are investigated for two repulsively coupled Lorenz oscillators. Based on numerical simulations, it is shown that as constraint strengths on the amplitude-dependent coupling change, an oscillatory state may undergo a transition to ...

[Phys. Rev. E 91, 052902] Published Thu May 07, 2015

]]>We investigate the geometry of the edge of chaos for a nine-dimensional sinusoidal shear flow model and show how the shape of the edge of chaos changes with increasing Reynolds number. Furthermore, we numerically compute the scaling of the minimum perturbation required to drive the laminar attractin...

[Phys. Rev. E 91, 052903] Published Thu May 07, 2015

]]>The stimulus-dynamic response is an important topic in physics. In this work, we study the dynamics in the reaction-diffusion system subjected to a weak signal and a spatially periodic force. We find that the response of the system to the weak signal is enhanced largely by the spatially periodic for...

[Phys. Rev. E 91, 052901] Published Wed May 06, 2015

]]>We investigate finite-size effects at first-order quantum transitions. For this purpose we consider the one-dimensional $q$-state quantum Potts chain, in particular with $q=10$, which undergoes a first-order transition, separating the quantum disordered and ordered phases with a discontinuity in the ene...

[Phys. Rev. E 91, 052103] Published Tue May 05, 2015

]]>We study the convex hull of the set of points visited by a two-dimensional random walker of $T$ discrete time steps. Two natural observables that characterize the convex hull in two dimensions are its perimeter $L$ and area $A$. While the mean perimeter $\langle L\rangle $ and the mean area $\langle A\rangle $ have been studied before, ...

[Phys. Rev. E 91, 052104] Published Tue May 05, 2015

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