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We investigate the properties of the nonequilibrium steady state for the stochastic system driven by a nonlinear drift force and influenced by noises which are not identically and independently distributed. The nonequilibrium steady state…

Statistical Mechanics · Physics 2013-05-29 Chulan Kwon , Ping Ao

We study the problem of calculating transport properties of interacting quantum systems, specifically electrical and thermal conductivities, by computing the non-equilibrium steady state (NESS) of the system biased by contacts. Our approach…

Strongly Correlated Electrons · Physics 2016-08-19 Raghu Mahajan , C. Daniel Freeman , Sam Mumford , Norm Tubman , Brian Swingle

We study non-equilibrium steady states (NESS) of spin chains with boundary Markovian dissipation from the computational complexity point of view. We focus on XX chains whose NESS are matrix product operators (MPO), i.e. with coefficients of…

Quantum Physics · Physics 2016-03-23 Ugo Marzolino , Tomaz Prosen

Constructing a thermodynamic framework for nonequilibrium systems remains a major challenge, as quantities such as temperature and free energy often become ambiguous when inferred solely from steady-state properties. Here we take a…

It is known that each single typical pure state in an energy shell of a large isolated quantum system well represents a thermal equilibrium state of the system. We show that such typicality holds also for nonequilibrium steady states…

Statistical Mechanics · Physics 2016-08-02 Takaaki Monnai , Kazuya Yuasa

We study a one dimensional gas of $N$ noninteracting diffusing particles in a harmonic trap, whose stiffness switches between two values $\mu_1$ and $\mu_2$ with constant rates $r_1$ and $r_2$ respectively. Despite the absence of direct…

Statistical Mechanics · Physics 2024-03-13 Marco Biroli , Manas Kulkarni , Satya N. Majumdar , Gregory Schehr

The mean compositions of individual components can be tuned to control phase behavior in number-conserving passive mixtures. In this work, we investigate the role of variable average density in a system of infinitely many non-reciprocally…

Statistical Mechanics · Physics 2026-04-09 Laya Parkavousi , Suropriya Saha

Understanding neural dynamics is a central topic in machine learning, non-linear physics and neuroscience. However, the dynamics is non-linear, stochastic and particularly non-gradient, i.e., the driving force can not be written as gradient…

Neurons and Cognition · Quantitative Biology 2024-12-05 Junbin Qiu , Haiping Huang

Discrete random structures are important tools in Bayesian nonparametrics and the resulting models have proven effective in density estimation, clustering, topic modeling and prediction, among others. In this paper, we consider nested…

Statistics Theory · Mathematics 2018-01-17 Federico Camerlenghi , David B. Dunson , Antonio Lijoi , Igor Prünster , Abel Rodríguez

We study nonequilibrium steady states (NESSs) in the weakly-coupled XXZ model in contact with two heat baths at different temperatures. We show that the density matrix can be represented using only projection operators specified by the…

Statistical Mechanics · Physics 2024-09-24 Shimpei Senda , Tatsuro Sunami , Yuto Matsumoto , Ayumu Sugita

A large number of processes in the mesoscopic world occur out of equilibrium, where the time course of a system evolution becomes immensely important since it is driven principally by dissipative effects. Non-equilibrium steady states…

Soft Condensed Matter · Physics 2022-11-23 Raunak Dey , Avijit Kundu , Biswajit Das , Ayan Banerjee

In this note, I summarise and comment on joint work with C. Bernardin, V. Kannan and J. L. Lebowitz concerning two harmonic systems with bulk noises whose nonequilibrium steady states (NESS) are nearly identical (they share the same thermal…

Mathematical Physics · Physics 2012-10-23 Jani Lukkarinen

Nonequilibrium steady state (NESS) is a quasistationary state, in which exist currents that continuously produce entropy, but the local observables are stationary everywhere. We propose a theory of NESS under the framework of quantum chaos.…

Statistical Mechanics · Physics 2020-03-30 Pei Wang

We develop a method of calculating the nonequilibrium steady state (NESS) of an open quantum system that is weakly coupled to reservoirs in different equilibrium states. We describe the system using a Redfield-type quantum master equation…

Statistical Mechanics · Physics 2014-12-09 Tatsuro Yuge , Ayumu Sugita

We study systems of particles on a line which have a maximum, are locally finite and evolve with independent increments. ``Quasi-stationary states'' are defined as probability measures, on the \sigma-algebra generated by the gap variables,…

Probability · Mathematics 2007-05-23 Anastasia Ruzmaikina , Michael Aizenman

An open question in the field of non-equilibrium statistical physics is whether there exists a unique way through which non-equilibrium systems equilibrate irrespective of how far they are away from equilibrium. To answer this question we…

Statistical Mechanics · Physics 2014-03-14 P. Barat , A. Giri , Nilangshu K. Das , M. Bhattacharya , A. Dutta

Many have speculated whether nonequilibrium systems obey principles of maximum or minimum entropy production. In this work, we use stochastic thermodynamics to derive the condition for the minimum entropy production state (MEPS) for…

Statistical Mechanics · Physics 2025-07-25 Kyle J. Ray , Alexander B. Boyd

We investigate the structure of the nonequilibrium stationary state (NESS) of a system of first and second class particles, as well as vacancies (holes), on L sites of a one-dimensional lattice in contact with first class particle…

Statistical Mechanics · Physics 2020-06-16 Arvind Ayyer , Joel L. Lebowitz , Eugene R. Speer

A century ago, the foundations of equilibrium statistical mechanics were laid. For a system in equilibrium with a thermal bath, much is understood through the Boltzmann factor, exp{-H[C]/kT}, for the probability of finding the system in any…

Statistical Mechanics · Physics 2009-10-31 R. K. P. Zia , L. B. Shaw , B. Schmittmann , R. J. Astalos

We consider a one-dimensional gas of $N$ independent Brownian particles subject to simultaneous stochastic resetting, with inter-reset times drawn from a general waiting-time distribution $\psi(\tau)$. This includes the well-known…

Statistical Mechanics · Physics 2026-01-28 Gabriele de Mauro , Marco Biroli , Satya N. Majumdar , Gregory Schehr