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When a quantum system is coupled to several heat baths at different temperatures, it eventually reaches a non-equilibrium steady state featuring stationary internal heat currents. These currents imply that entropy is continually being…

The information on a quantum process acquired through measurements plays a crucial role in the determination of its non-equilibrium thermodynamic properties. We report on the experimental inference of the stochastic entropy production rate…

We explore the consequences of a deterministic microscopic thermostat-reservoir contact mechanism. With different temperature reservoirs at each end of a two-dimensional system, a heat current is produced and the system has an anomalous…

Statistical Mechanics · Physics 2015-06-15 Gary P. Morriss , Daniel P. Truant

Certain thermal non-equilibrium situations, outside of the astrophysical realm, suggest that entropy production extrema, instead of entropy extrema, are related to stationary states. In an effort to better understand the evolution of…

Astrophysics of Galaxies · Physics 2015-05-27 Eric I. Barnes , Liliya L. R. Williams

We investigate the link between the irreversibility generated by a stationary dissipative process and the correlations established within a composite quantum system. We provide two equivalent expressions for the entropy generated in the…

Quantum Physics · Physics 2016-10-06 Matteo Brunelli , Mauro Paternostro

The entropy production rate is a key quantity in non-equilibrium thermodynamics of both classical and quantum processes. No universal theory of entropy production is available to date, which hinders progress towards its full grasping. By…

Quantum Physics · Physics 2020-12-18 Alessio Belenchia , Luca Mancino , Gabriel T. Landi , Mauro Paternostro

Driven-dissipative phase transitions are currently a topic of intense research due to the prospect of experimental realizations in quantum optical setups. The most paradigmatic model presenting such a transition is the Kerr model, which…

Quantum Physics · Physics 2020-12-22 Bruno O. Goes , Gabriel T. Landi

This paper presents an {\it ab initio} derivation of the expression given by irreversible thermodynamics for the rate of entropy production for different classes of diffusive processes. The first class are Lorentz gases, where…

Chaotic Dynamics · Physics 2009-11-07 J. R. Dorfman , P. Gaspard , T. Gilbert

The characterization of irreversibility in general quantum processes is an open problem of increasing techno- logical relevance. Yet, the tools currently available to this aim are mostly limited to the assessment of dynamics induced by…

Quantum Physics · Physics 2017-06-06 Jader P. Santos , Gabriel T. Landi , Mauro Paternostro

We study the relationship between (non-)Markovian evolutions, established correlations, and the entropy production rate. We consider a system qubit in contact with a thermal bath and in addition the system is strongly coupled to an…

Quantum Physics · Physics 2018-07-24 Maria Popovic , Bassano Vacchini , Steve Campbell

By making use of a recently proposed framework for the inference of thermodynamic irreversibility in bosonic quantum systems, we experimentally measure and characterize the entropy production rates in the non-equilibrium steady state of two…

We study irreversible processes for nonlinear oscillators networks described by complex-valued Langevin equations that account for coupling to different thermo-chemical baths. Dissipation is introduced via non-Hermitian terms in the…

Statistical Mechanics · Physics 2017-08-02 Simone Borlenghi , Stefano Iubini , Stefano Lepri , Jonas Fransson

We analyze the stochastic thermodynamics of systems with continuous space of states. The evolution equation, the rate of entropy production, and other results are obtained by a continuous time limit of a discrete time formulation. We point…

Statistical Mechanics · Physics 2020-08-27 Mário J. de Oliveira

It is a great challenge of nonequilibrium statistical mechanics to calculate entropy production within a microscopic theory. In the framework of linear irreversible thermodynamics, we combine the Mori-Zwanzig-Forster projection operator…

Statistical Mechanics · Physics 2014-01-28 Raphael Wittkowski , Hartmut Löwen , Helmut R. Brand

We consider a finite chain of non-linear oscillators coupled at its ends to two infinite heat baths which are at different temperatures. Using our earlier results about the existence of a stationary state, we show rigorously that for…

chao-dyn · Physics 2015-06-24 Jean-Pierre Eckmann , Claude-Alain Pillet , Luc Rey-Bellet

Macroscopic many-body systems always exhibit irreversible behaviors together with the entropy increase. However, the underlying microscopic dynamics of the many-body system, either the (quantum) von Neumann or (classical) Liouville…

Statistical Mechanics · Physics 2019-02-04 Sheng-Wen Li

*First-principles derivation of the entropy production in erectric static conduction. *The second-order (symmetric) density matrix contributes to the entropy production. *New schemes of steady states formulated using a relaxation-type von…

Statistical Mechanics · Physics 2011-03-31 Masuo Suzuki

We consider a one-dimensional persisent random walk viewed as a deterministic process with a form of time reversal symmetry. Particle reservoirs placed at both ends of the system induce a density current which drives the system out of…

Chaotic Dynamics · Physics 2009-10-31 T. Gilbert , J. R. Dorfman

We study the nonreciprocal Cahn-Hilliard model with thermal noise as a prototypical example of a generic class of non-Hermitian stochastic field theories, analyzed in two companion papers [Suchanek, Kroy, Loos, ArXiv:2303.16701 (2023);…

Soft Condensed Matter · Physics 2023-09-08 Thomas Suchanek , Klaus Kroy , Sarah A. M. Loos

Entropy production during the process of thermal phase-separation of multiphase flows is investigated by means of a discrete Boltzmann kinetic model. The entropy production rate is found to increase during the spinodal decomposition stage…

Statistical Mechanics · Physics 2019-03-18 Yudong Zhang , Aiguo Xu , Guangcai Zhang , Yanbiao Gan , Zhihua Chen , Sauro Succi
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