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Stochastic thermodynamics has largely succeeded in characterizing both equilibrium and far-from-equilibrium phenomena. Yet many opportunities remain for application to mesoscopic complex systems -- especially biological ones -- whose…

Statistical Mechanics · Physics 2022-11-08 Mikhael T. Semaan , James P. Crutchfield

Present work is a theoretical study on the stability of the thermotropic biaxial nematic liquid crystal phase in model systems. Its main aim is to present the phase diagrams of spatially uniform liquid mesophases and to identify the…

Soft Condensed Matter · Physics 2009-07-07 Piotr Grzybowski

We describe short-time kinetic and steady-state properties of the non--equilibrium phases, namely, solid, liquid and gas anisotropic phases in a driven Lennard-Jones fluid. This is a computationally-convenient two-dimensional model which…

Soft Condensed Matter · Physics 2009-11-11 J. Marro , P. L. Garrido , M. Diez-Minguito

Isolated long-range interacting particle systems appear generically to relax to non-equilibrium states ("quasi-stationary states" or QSS) which are stationary in the thermodynamic limit. A fundamental open question concerns the "robustness"…

Statistical Mechanics · Physics 2016-05-25 Michael Joyce , Jules Morand , Pascal Viot

We present and study lattice and off-lattice microscopic models in which particles interact via a local anisotropic rule. The rule induces preferential hopping along one direction, so that a net current sets in if allowed by boundary…

Statistical Mechanics · Physics 2007-05-23 M. Diez-Minguito , P. L. Garrido , J. Marro

For a class of nonequilibrium systems, called driven lattice gases, we study what happens when two systems are kept in contact and allowed to exchange particles with the total number of particles conserved. Both for attractive and repulsive…

Statistical Mechanics · Physics 2011-10-13 Punyabrata Pradhan , Robert Ramsperger , Udo Seifert

We investigate the behavior of the Gibbs-Shannon entropy of the stationary nonequilibrium measure describing a one-dimensional lattice gas, of L sites, with symmetric exclusion dynamics and in contact with particle reservoirs at different…

Statistical Mechanics · Physics 2015-05-13 B. Derrida , J. L. Lebowitz , E. R. Speer

A general system of particles (of one or several species) on a one dimensional lattice with boundaries is considered. Two general behaviors of such systems are investigated. The stationary behavior of the system, and the dominant way of the…

Statistical Mechanics · Physics 2015-06-24 Mohammad Khorrami , Amir Aghamohammadi

A system that violates detailed balance evolves asymptotically into a nonequilibrium steady state with non-vanishing currents. Analogously, when detailed balance holds at any instant of time but the system is driven through time-periodic…

Statistical Mechanics · Physics 2018-09-26 Daniel M. Busiello , Christopher Jarzynski , Oren Raz

The 2D second-mode is a potent instability in hypersonic boundary layers (HBLs). We study its linear and nonlinear evolution, followed by its role in transition and eventual breakdown of the HBL into a fully turbulent state. Linear…

Fluid Dynamics · Physics 2020-12-02 S. Unnikrishnan , Datta V. Gaitonde

Integrating out fast degrees of freedom is known to yield, to a good approximation, memory-less, i.e. Markovian, dynamics. In the presence of such a time-scale separation local detailed balance is believed to emerge and to guarantee…

Statistical Mechanics · Physics 2023-12-12 David Hartich , Aljaž Godec

The nonequilibrium short-time critical behaviors of driven and undriven lattice gases are investigated via Monte Carlo simulations in two spatial dimensions starting from a fully disordered initial configuration. In particular, we study the…

Statistical Mechanics · Physics 2017-02-16 Urna Basu , Valerio Volpati , Sergio Caracciolo , Andrea Gambassi

We study a one dimensional nonequilibrium lattice model with competing features of particle attraction and non-local hops. The system is similar to a zero range process (ZRP) with attractive particles but the particles can make both local…

Statistical Mechanics · Physics 2015-05-14 Apoorva Nagar

We explore the idea that non-equilibrium steady states breaking detailed balance are obtained by deforming trajectories (lines in space-time) that have been sampled in a reference system with stochastic dynamics obeying detailed balance,…

Statistical Mechanics · Physics 2018-04-17 Thomas Speck

It is shown that intrinsically anisotropic non-equilibrium systems relaxing by a dynamic process exhibit universal critical behavior during their evolution toward non-equilibrium stationary states. An anisotropic scaling anzats for the…

Statistical Mechanics · Physics 2009-11-07 Ezequiel V. Albano , Gustavo Saracco

Networks of globally coupled, noise activated, bistable elements with connection time delays are considered. The dynamics of these systems is studied numerically using a Langevin description and analytically using (1) a Gaussian…

Statistical Mechanics · Physics 2009-11-11 Daniel Huber , Lev Tsimring

Lattice models are crucial for studying thermodynamic properties in many physical, biological and chemical systems. We investigate Lattice Restricted Primitive Model (LRPM) of electrolytes with different discretization parameters in order…

Statistical Mechanics · Physics 2009-11-11 Maxim N. Artyomov , Anatoly B. Kolomeisky

In this work, the interplay between non-Hermiticity, quasi-disorder, and repulsive interaction is studied for hard-core bosons confined in a one-dimensional optical lattice, where non-Hermiticity is induced by the non-reciprocal hoppings…

Disordered Systems and Neural Networks · Physics 2024-04-29 Shujie Cheng , Xixi Feng , Wen Chen , Niaz Ali Khan , Gao Xianlong

We study microcanonical lattice gas models with long range interactions, including power law interactions. We rigorously obtain a variational principle for the entropy. In a one dimensional example, we find a first order phase transition by…

Mathematical Physics · Physics 2017-03-08 David Aristoff , Lingjiong Zhu

Long-range interacting systems, while relaxing towards equilibrium, may get trapped in nonequilibrium quasistationary states (QSS) for a time which diverges algebraically with the system size. These intriguing non-Boltzmann states have been…

Statistical Mechanics · Physics 2013-12-03 Shamik Gupta , David Mukamel
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