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We apply Nambu non-equilibrium thermodynamics (NNET)-a dynamics with multiple Hamiltonians coupled to entropy-induced dissipation-to paradigmatic far-from-equilibrium systems. Concretely, we construct NNET realizations for the…

统计力学 · 物理学 2026-03-03 So Katagiri , Yoshiki Matsuoka , Akio Sugamoto

The objective of this work is to determine the nonlinear flux-force relations for systems out of Onsager's region that respect the existing thermodynamic theorems for systems far from equilibrium. To this aim, a thermodynamic theory for…

等离子体物理 · 物理学 2022-12-07 Giorgio Sonnino

We extend Onsager's minimum dissipation principle to stationary states that are only subject to local equilibrium constraints, even when the transport coefficients depend on the thermodynamic forces. Crucial to this generalization is a…

统计力学 · 物理学 2023-07-19 Giorgio Sonnino , Jarah Evslin , Alberto Sonnino

This paper presents a nonequilibrium thermodynamic model for the relaxation of a local, isolated system in nonequilibrium using the principle of steepest entropy ascent (SEA), which can be expressed as a variational principle in…

统计力学 · 物理学 2016-09-21 Guanchen Li , Michael R. von Spakovsky

We show the link between U1 lattice gauge theories and the off-equilibrium thermodynamics of a large class of nonlinear oscillators networks. The coupling between the oscillators plays the role of a gauge field, or connection, on the…

统计力学 · 物理学 2016-01-27 Simone Borlenghi

In this work we study the properties of a relativistic mixture of two non-reacting dilute species in thermal local equilibrium. Following the conventional ideas in kinetic theory, we use the concept of chaotic velocity. In particular, we…

统计力学 · 物理学 2015-05-27 Valdemar Moratto , A. L. Garcia-Perciante , L. S. Garcia-Colin

The Onsager linear relations between macroscopic flows and thermodynamics forces are derived from the point of view of large deviation theory. For a given set of macroscopic variables, we consider the short-time evolution of…

统计力学 · 物理学 2021-04-28 Brian R. La Cour , William C. Schieve

Entropy production for a system not in the thermodynamic limit is formulated using Hill's nanothermodynamics, in which a macroscopic ensemble of such systems is considered. External influence of the environment on the average nanosystem is…

统计力学 · 物理学 2011-03-21 J. Carrete , L. M. Varela , L. J. Gallego

The Onsager reciprocal relations are established within the phenomenological framework of the thermodynamics of irreversible processes. In order to do so, the dissipated power densities associated to scalar and vectorial processes are…

统计力学 · 物理学 2022-10-11 Sylvain D. Brechet

Vortices play a fundamental role in the physics of two-dimensional (2D) fluids across a range of length scales, from quantum superfluids to geophysical flows. Despite a history dating back to Helmholtz, point vortices in a 2D fluid continue…

流体动力学 · 物理学 2021-06-30 Vishal P. Patil , Jörn Dunkel

Using a generalisation of an Onsager type approach, we are able to predict a dielectric permittivity profile of an inhomogeneous dipolar fluid in the presence of a dielectric interface. The reaction and cavity fields are calculated…

软凝聚态物质 · 物理学 2009-11-10 Reimar Finken , Vincent Ballenegger , Jean-Pierre Hansen

We characterise the nonequilibrium stationary state of a generic multivariate Ornstein-Uhlenbeck process involving $N$ degrees of freedom. The irreversibility of the process is encoded in the antisymmetric part of the Onsager matrix. The…

统计力学 · 物理学 2018-12-19 Claude Godrèche , Jean-Marc Luck

Steady non-equilibrium states are investigated in a one-dimensional setup in the presence of two thermodynamic currents. Two paradigmatic nonlinear oscillators models are investigated: an XY chain and the discrete nonlinear Schr\"odinger…

统计力学 · 物理学 2016-08-24 S. Iubini , S. Lepri , R. Livi , A. Politi

We present a theoretical framework for non-equilibrium thermodynamics, termed Nambu Non-equilibrium Thermodynamics (NNET), which unifies reversible dynamics described by the Nambu bracket and irreversible processes driven by entropy…

统计力学 · 物理学 2026-05-11 So Katagiri , Yoshiki Matsuoka , Akio Sugamoto

The General Equation for Non-Equilibrium Reversible-Irreversible Coupling (GENERIC) provides structure of mesoscopic multiscale dynamics that guarantees emergence of equilibrium states. Similarly, a lift of the GENERIC structure to iterated…

统计力学 · 物理学 2022-12-21 Ogul Esen , Miroslav Grmela , Michal Pavelka

We study a Brownian Carnot cycle introduced by T. Schmiedl and U. Seifert [Europhys. Lett. \textbf{81}, 20003 (2008)] from a viewpoint of the linear irreversible thermodynamics. By considering the entropy production rate of this cycle, we…

统计力学 · 物理学 2015-05-19 Yuki Izumida , Koji Okuda

We derive thermodynamically consistent models of reaction-diffusion equations coupled to a heat equation. While the total energy is conserved, the total entropy serves as a driving functional such that the full coupled system is a gradient…

偏微分方程分析 · 数学 2018-10-16 Jan Haskovec , Sabine Hittmeir , Peter Markowich , Alexander Mielke

Recent experimental developments in multimode nonlinear photonic circuits (MMNPC), have motivated the development of an optical thermodynamic theory that describes the equilibrium properties of an initial beam excitation. However, a…

We introduce a simplified model for a three-terminal quantum thermocouple consisting of two strongly-coupled quantum dots. To elucidate spin-dependent Seebeck and Peltier effects, we employ a microscopic Hamiltonian and map the Lindblad…

介观与纳米尺度物理 · 物理学 2024-03-22 Nikhil Gupt , Shuvadip Ghosh , Arnab Ghosh

Superfluid phase transitions are discussed from a geometrical perspective as envisaged by Onsager. The approach focuses on vortex loops which close to the critical temperature form a fluctuating vortex tangle. As the transition is…

凝聚态物理 · 物理学 2007-05-23 Adriaan M. J. Schakel