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There is a common view in thermodynamics that the behavior of a macroscopic system can be described by only a few state variables. Although this is true for many cases, it is unclear whether it is meaningful to ask how many state variables…

Statistical Mechanics · Physics 2022-01-05 Koun Shirai

We show that models of opinion formation and dissemination in a community of individuals can be framed within stochastic thermodynamics from which we can build a nonequilibrium thermodynamics of opinion dynamics. This is accomplished by…

Statistical Mechanics · Physics 2023-07-12 Tânia Tomé , Carlos E. Fiore , Mário J. de Oliveira

The existence of fluctuations of temperature has been a somewhat controversial topic in thermodynamics but nowadays it is recognized that they must be taken into account in small, finite systems. Although for nonequilibrium steady states…

Statistical Mechanics · Physics 2022-01-05 Sergio Davis

We investigate the thermodynamic properties of a single inertial probe driven into a nonequilibrium steady-state by random collisions with self-propelled active walkers. The probe and walkers are confined within a gravitational harmonic…

Statistical Mechanics · Physics 2026-01-13 Dima Boriskovsky , Rémi Goerlich , Benjamin Lindner , Yael Roichman

We consider stochastic thermodynamics as a theory of statistical inference for experimentally observed fluctuating time-series. To that end, we introduce a general framework for quantifying the knowledge about the dynamical state of the…

Statistical Mechanics · Physics 2015-05-19 Bernhard Altaner , Jürgen Vollmer

Sea Surface Temperature (SST) is crucial for understanding upper-ocean thermal dynamics and ocean-atmosphere interactions, which have profound economic and social impacts. While data-driven models show promise in SST prediction, their…

Machine Learning · Computer Science 2025-11-11 Zheng Jiang , Wei Wang , Gaowei Zhang , Yi Wang

Stochastic thermodynamics extends the notions and relations of classical thermodynamics to small systems that experience strong fluctuations. The definitions of work and heat and the microscopically reversible condition are two key concepts…

Statistical Mechanics · Physics 2019-07-23 Geng Li , Z. C. Tu

A thermodynamically consistent model of non-classical coupled non-linear thermoelasticity capable of accounting for thermal wave propagation is proposed. The heat flux is assumed to consist of both additive energetic and dissipative…

Statistical Mechanics · Physics 2015-07-20 Mebratu F. Wakeni , B. D. Reddy , A. T. McBride

Superstatistics describes nonequilibrium steady states as superpositions of canonical ensembles with a probability distribution of temperatures. Rather than assume a certain distribution of temperature, recently [J. Phys. A: Math. Theor.…

Statistical Mechanics · Physics 2020-10-28 Sergio Davis

We revisit stochastic thermodynamics for a system with discrete energy states in contact with a heat and particle reservoir.

Statistical Mechanics · Physics 2015-06-19 Christian Van den Broeck , Massimiliano Esposito

We extend the theory of stochastic thermodynamics in three directions: (i) instead of a continuously monitored system we consider measurements only at an arbitrary set of discrete times, (ii) we allow for imperfect measurements and…

Statistical Mechanics · Physics 2019-08-27 Philipp Strasberg , Andreas Winter

The theory of linear stochastic thermodynamics is developed for periodically driven systems in contact with a single reservoir. Appropriate thermodynamic forces and fluxes are identified, starting from the entropy production for a Markov…

Statistical Mechanics · Physics 2016-02-26 Karel Proesmans , Bart Cleuren , Christian Van den Broeck

Suitable Langevin thermostats are introduced which are able to control both the temperature and the chemical potential of a one-dimensional lattice of nonlinear Schr\"odinger oscillators. The resulting non-equilibrium stationary states are…

Statistical Mechanics · Physics 2013-09-10 S. Iubini , S. Lepri , R. Livi , A. Politi

There is a long-standing question of whether it is possible to extend the formalism of equilibrium thermodynamics to the case of non-equilibrium systems in steady states. We have made such an extension for an ideal gas in a heat flow…

Statistical Mechanics · Physics 2023-01-31 Robert Hołyst , Karol Makuch , Konrad Giżyński , Anna Maciołek , Paweł J. Żuk

Thermodynamics serves as a universal means for studying physical systems from an energy perspective. In recent years, with the establishment of the field of stochastic and quantum thermodynamics, the ideas of thermodynamics have been…

Statistical Mechanics · Physics 2023-02-07 Tan Van Vu , Keiji Saito

We analyze temperature and thermometry for simple nonequilibrium heat-conducting models. We show in detail, for both two- and three-dimensional systems, that the ideal gas thermometer corresponds to the concept of a local instantaneous…

Chaotic Dynamics · Physics 2009-11-13 Wm. G. Hoover , Carol G. Hoover

This paper revisits the problem of heat conduction in relativistic fluids, associated with issues concerning both stability and causality. It has long been known that the problem requires information involving second order deviations from…

General Relativity and Quantum Cosmology · Physics 2015-05-28 N. Andersson , C. Lopez-Monsalvo

We study the model of a strongly non-linear chain of particles coupled to two heat baths at different temperatures. Our main result is the existence and uniqueness of a stationary state at all temperatures. This result extends those of…

chao-dyn · Physics 2009-10-31 Jean-Pierre Eckmann , Martin Hairer

We show that the thermodynamic dislocation theory (TDT) predicts a scaling relation between stresses, strain rates, and temperatures for steady-state deformations of crystalline solids, and that this relation is accurately obeyed by a wide…

Materials Science · Physics 2020-12-30 J. S. Langer , K. C. Le

Passivity is a fundamental concept in thermodynamics that demands a quantum system's energy cannot be lowered by any reversible, unitary process acting on the system. In the limit of many such systems, passivity leads in turn to the concept…

Quantum Physics · Physics 2017-12-14 Carlo Sparaciari , David Jennings , Jonathan Oppenheim