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Related papers: Casimir-Onsager matrix for weakly driven processes

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Thermoelectric transport involving an arbitrary number of terminals is discussed in the presence of a magnetic field breaking time-reversal symmetry within the linear response regime using the Landauer-B\"uttiker formalism. We derive a…

Statistical Mechanics · Physics 2013-10-14 Kay Brandner , Udo Seifert

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…

Statistical Mechanics · Physics 2021-04-28 Brian R. La Cour , William C. Schieve

This paper is a second in a series devoted to the study of a two-oscillator system in linear relative motion (the first one published as a letter in Europhys. Lett. 91, 60003 (2010)). The main idea behind considering this kind of system is…

Quantum Physics · Physics 2015-05-20 Johan S. Høye , I. Brevik

We study thermal transport in a classical one-dimensional Heisenberg model employing a discrete time odd even precessional update scheme. This dynamics equilibrates a spin chain for any arbitrary temperature and finite value of the…

Statistical Mechanics · Physics 2015-03-20 Debarshee Bagchi , P. K. Mohanty

We consider macroscopic systems in weak contact with boundary reservoirs and under the action of external fields. We present an explicit formula for the Hamiltonian of such systems, from which we deduce the equation of motions, the action…

Probability · Mathematics 2022-11-14 Angèle Bouley , Claudio Landim

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…

Analysis of PDEs · Mathematics 2018-10-16 Jan Haskovec , Sabine Hittmeir , Peter Markowich , Alexander Mielke

A unified thermodynamic framework for characterization of functional materials is developed. This framework encompasses linear reversible and irreversible processes with thermal, electrical, magnetic, and/or mechanical effects coupled. The…

Materials Science · Physics 2016-10-07 Sushma Santapuri

The metaphor of a clock in physics describes near-equilibrium reversible phenomena such as an oscillating spring. It is surprising that for chemical and biological clocks the focus has been exclusively on the far-from-equilibrium…

Chemical Physics · Physics 2021-12-07 Thomas Heimburg

In this paper we clarify the role of heat flux in the hydrodynamic balance equations, facilitating the formulation of an Onsager relation within the framework of this theory. Previously thought to be unobtainable from the present form of…

Condensed Matter · Physics 2009-10-28 M. W. Wu , H. L. Cui , N. J. M. Horing

We consider systems with slab geometry of finite thickness L that undergo second order phase transitions in the bulk limit and belong to the universality class of O(n)-symmetric systems with short-range interactions. In these systems the…

Statistical Mechanics · Physics 2012-07-04 Denis Comtesse , Alfred Hucht , Daniel Grüneberg

Using quantum information geometry, I derive quantum generalizations of the Onsager rate equations, which model the dynamics of an open system near a steady state. The generalized equations hold for a flexible definition of the forces as…

Quantum Physics · Physics 2025-10-20 Mankei Tsang

We present an approach based on a density matrix expansion to study thermodynamic properties of a quantum system strongly coupled to two or more baths. For slow external driving of the system, we identify the adiabatic and nonadiabatic…

Statistical Mechanics · Physics 2020-06-24 Wenjie Dou , Jakob Bätge , Amikam Levy , Michael Thoss

We establish a refined version of the Second Law of Thermodynamics for Langevin stochastic processes describing mesoscopic systems driven by conservative or non-conservative forces and interacting with thermal noise. The refinement is based…

We straight-forwardly derive the Onsager-Machlup Lagrangian from the Fokker-Planck equation and show that friction and dissipation are a natural property of the equation of motion. We develop a method to calculate the local variance…

Statistical Mechanics · Physics 2020-12-15 Alexander Jurisch

We present both exact and numerical results for the behavior of the Casimir force in $O(n)$ systems with a finite extension in one direction when the system is subjected to surface fields that induce helicity in the order parameter. We show…

Statistical Mechanics · Physics 2017-04-19 Daniel Dantchev , Joseph Rudnick

The performance of a generic, cyclic heat engine between two heat reservoirs is discussed within a linear-irreversible framework. The Onsager reciprocal relation is derived as a consequence of the equivalence between quasi-static and…

Statistical Mechanics · Physics 2020-09-18 Ramandeep S. Johal

We generalize the odd elasticity of planar materials to thermoelasticity, admitting spatially inhomogeneous properties. First, we show that for active systems breaking Onsager relations thermal evolution is given by an odd generalization of…

Soft Condensed Matter · Physics 2024-02-23 Martin Ostoja-Starzewski , Piotr Surówka

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…

Statistical Mechanics · Physics 2015-05-19 Yuki Izumida , Koji Okuda

We develop a Magnus formalism for periodically driven systems which provides an expansion both in the driving term and the inverse driving frequency, applicable to isolated and dissipative systems. We derive explicit formulas for a driving…

Superconductivity · Physics 2016-10-14 B. Zhu , T. Rexin , L. Mathey

Onsager's regression hypothesis connects the temporal relaxation of close-to-equilibrium systems with their dynamical correlation functions at thermal equilibrium. While the hypothesis is provably correct in classical systems, it is known…

Statistical Mechanics · Physics 2024-07-17 Peter Reimann , Christian Eidecker-Dunkel