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Related papers: The non-equilibrium steady state of sparse systems…

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A resistor-network picture of transitions is appropriate for the study of energy absorption by weakly chaotic or weakly interacting driven systems. Such "sparse" systems reach a novel non-equilibrium steady state (NESS) once coupled to a…

Quantum Physics · Physics 2011-03-21 Daniel Hurowitz , Doron Cohen

We introduce an explicit solution for the non-equilibrium steady state (NESS) of a ring that is coupled to a thermal bath, and is driven by an external hot source with log-wide distribution of couplings. Having time scales that stretch over…

Statistical Mechanics · Physics 2013-12-31 Daniel Hurowitz , Saar Rahav , Doron Cohen

We consider the general problem of determining the steady state of stochastic nonequilibrium systems such as those that have been used to model (among other things) biological transport and traffic flow. We begin with a broad overview of…

Statistical Mechanics · Physics 2009-11-13 R. A. Blythe , M. R. Evans

We search for steady states in a class of fluctuating and driven physical systems that exhibit sustained currents. We find that the physical concept of a steady state, well known for systems at equilibrium, must be generalised to describe…

Soft Condensed Matter · Physics 2020-04-15 Tanniemola B. Liverpool

The understanding of the emergence of equilibrium statistical mechanics has progressed significantly thanks to developments from typicality, canonical and dynamical, and from the eigenstate thermalization hypothesis. Here we focus on a…

Statistical Mechanics · Physics 2022-05-11 Xiansong Xu , Chu Guo , Dario Poletti

Topological concepts have been employed to understand the ground states of many strongly correlated systems, but it is still quite unclear if and how topology manifests itself in the relaxation dynamics. Here we uncover emergent topological…

Quantum Gases · Physics 2025-03-31 Wang Huang , Xu-Chen Yang , Rui Cao , Ying-Hai Wu , Jianmin Yuan , Yongqiang Li

We experimentally study a driven-dissipative Josephson junction array, realized with a weakly interacting Bose Einstein condensate residing in a one-dimensional optical lattice. Engineered losses on one site act as a local dissipative…

Quantum Physics · Physics 2017-08-24 Ralf Labouvie , Bodhaditya Santra , Simon Heun , Herwig Ott

Driven many-body quantum systems where some parameter in the Hamiltonian is varied quasiperiodically in time may exhibit nonequilibrium steady states that are qualitatively different from their periodically driven counterparts. Here we…

Strongly Correlated Electrons · Physics 2018-12-27 Sourav Nandy , Arnab Sen , Diptiman Sen

Transition rates in continuously driven steady states were derived in [Evans R M L, 2005 J. Phys. A: Math. Gen. 38, 293] by demanding that no information other than the microscopic laws of motion and the macroscopic observables of the…

Statistical Mechanics · Physics 2009-11-05 Aditi Simha , R. M. L. Evans

We show that coupling together two closed thermodynamic systems that independently attain equilibrium may give rise to a nonequilibrium stationary state (NESS) with a persistent, non-vanishing current. We study a simple example that is…

Statistical Mechanics · Physics 2014-01-23 Hernán Larralde , David P. Sanders

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

Non-equilibrium steady states for chains of oscillators (masses) connected by harmonic and anharmonic springs and interacting with heat baths at different temperatures have been the subject of several studies. In this paper, we show how…

Mathematical Physics · Physics 2018-05-28 Noé Cuneo , Jean-Pierre Eckmann , Martin Hairer , Luc Rey-Bellet

The modern theory of rare events is grounded in near equilibrium ideas, however many systems of modern interest are sufficiently far from equilibrium that traditional approaches do not apply. Using the recently developed variational path…

Chemical Physics · Physics 2025-02-14 Aditya N. Singh , David T. Limmer

Entropy is one of the key thermodynamic variables reflecting changes in the state of matter. Unlike other thermodynamic variables, it is well-defined also for nonequilibrium steady states through its relation to information. Applying this…

Statistical Mechanics · Physics 2026-04-15 Haim Diamant , Gil Ariel

In these notes I explain how to describe one-dimensional quantum systems that are simultaneously near to, but not exactly at, a critical point, and in a far-from-equilibrium steady state. This description uses a density matrix on scattering…

Statistical Mechanics · Physics 2012-12-06 Benjamin Doyon

We investigate nonequilibrium energy transfer in a single-site Bose-Hubbard model coupled to two thermal baths. By including a quantum kinetic equation combined with full counting statistics, we investigate the steady state energy flux and…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 Xu-Min Chen , Chen Wang , Ke-Wei Sun

We investigate a simplified model of two fully connected magnetic systems maintained at different temperatures by virtue of being connected to two independent thermal baths while simultaneously being inter-connected with each other. Using…

Statistical Mechanics · Physics 2015-06-15 Roberto C. Alamino , Amit Chattopadhyay , David Saad

Long-range interacting Hamiltonian systems are believed to relax generically towards non-equilibrium states called "quasi-stationary" because they evolve towards thermodynamic equilibrium very slowly, on a time-scale diverging with particle…

Statistical Mechanics · Physics 2017-07-18 Michael Joyce , Jules Morand , Pascal Viot

We investigate the thermodynamics of simple (non-interacting) transport models beyond the scope of weak coupling. For a single fermionic or bosonic level -- tunnel-coupled to two reservoirs -- exact expressions for the stationary matter and…

Statistical Mechanics · Physics 2015-07-20 Gabriel E. Topp , Tobias Brandes , Gernot Schaller

We consider the problem of constructing a thermodynamic theory of non-equilibrium steady states as a formal extension of the equilibrium theory. Specifically, studying a particular system, we attempt to construct a phenomenological theory…

Statistical Mechanics · Physics 2009-06-11 Glenn C. Paquette
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