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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

We investigate the efficiency of power generation by thermo-chemical engines. For strong coupling between the particle and heat flows and in the presence of a left-right symmetry in the system, we demonstrate that the efficiency at maximum…

Statistical Mechanics · Physics 2010-03-01 Massimiliano Esposito , Katja Lindenberg , Christian Van den Broeck

This letter exposes a tight connection between the thermodynamic efficiency of information processing and predictive inference. A generalized lower bound on dissipation is derived for partially observable information engines which are…

Statistical Mechanics · Physics 2020-02-12 Susanne Still

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…

Statistical Mechanics · Physics 2023-07-19 Giorgio Sonnino , Jarah Evslin , Alberto Sonnino

We consider the nonlinear scattering theory for three-terminal thermoelectric devices, used for power generation or refrigeration. Such systems are quantum phase-coherent versions of a thermocouple, and the theory applies to systems in…

Mesoscale and Nanoscale Physics · Physics 2017-05-25 Robert S. Whitney

We establish universal relations between pattern formation and dissipation with a geometric approach to nonequilibrium thermodynamics of deterministic reaction-diffusion systems. We first provide a way to systematically decompose the…

Statistical Mechanics · Physics 2026-05-04 Ryuna Nagayama , Kohei Yoshimura , Artemy Kolchinsky , Sosuke Ito

We apply the model of minimally nonlinear irreversible heat engines developed by Izumida and Okuda [EPL {\bf 97}, 10004 (2012)] to refrigerators. The model assumes extended Onsager relations including a new nonlinear term accounting for…

Statistical Mechanics · Physics 2015-06-05 Y. Izumida , K. Okuda , A. Calvo Hernández , J. M. M. Roco

For thermoelectric power generation in a multi-terminal geometry, strong numerical evidence for a universal bound as a function of the magnetic-field induced asymmetry of the non-diagonal Onsager coefficients is presented. This bound…

Statistical Mechanics · Physics 2015-01-13 Kay Brandner , Udo Seifert

Low-dissipation model and the endoreversible model of heat engines are two of the most commonly studied models of machines in finite-time thermodynamics. In this paper, we compare the performance characteristics of these two models under…

Statistical Mechanics · Physics 2017-08-02 Ramandeep S. Johal

Onsager's phenomenological equations successfully describe irreversible thermodynamic processes. They assume a symmetric coupling matrix between thermodynamic fluxes and forces. It is easily shown that the antisymmetric part of a coupling…

Chemical Physics · Physics 2020-08-10 Thomas Heimburg

We derive an analytical expression for maximum efficiency at fixed power of heat pumps operating along a finite-time reverse Carnot cycle under the low-dissipation assumption. The result is cumbersome, but it implies simple formulas for…

Statistical Mechanics · Physics 2022-02-28 Zhuolin Ye , Viktor Holubec

Gradient dynamics describes irreversible evolution by means of a dissipation potential, which leads to several advantageous features like Maxwell--Onsager relations, distinguishing between thermodynamic forces and fluxes or geometrical…

Fluid Dynamics · Physics 2018-01-24 Adam Janečka , Michal Pavelka

In a recent paper, Phys. Rev E 81, 041137 (2010), the author attempts to derive ten necessary conditions for stability of dissipative fluids and plasmas. Assuming the validity of the local equilibrium principle, these criteria have been…

Statistical Mechanics · Physics 2015-06-11 Giorgio Sonnino , Mustapha Tlidi , Jarah Evslin

We analytically derive maximum efficiency at given cooling power for Carnot-type low-dissipation refrigerators. The corresponding optimal cycle duration depends on a single parameter, which is a specific combination of irreversibility…

Statistical Mechanics · Physics 2020-05-27 Viktor Holubec , Zhuolin Ye

We study the thermodynamic efficiency of the Malkus-Lorenz waterwheel. For this purpose, we derive an exact analytical formula that describes the efficiency of this dissipative structure as a function of the phase space variables and the…

Statistical Mechanics · Physics 2023-05-24 Álvaro G. López , Fernando Benito , Juan Sabuco , Alfonso Delgado-Bonal

We present results obtained by using nonlinear irreversible models for heat devices. In particular, we focus on the global performance characteristics, the maximum efficiency and the efficiency at maximum power regimes for heat engines, and…

Statistical Mechanics · Physics 2015-06-11 Y. Izumida , K. Okuda , J. M. M. Roco , A. Calvo Hernández

It is proven, without using the microscopic reversibility argument of Onsager, that lossy reciprocal systems have a hidden time-reversal symmetry. The key idea is that the dissipation channels of lossy dielectrics can be mimicked by a…

Classical Physics · Physics 2019-05-22 Mario G. Silveirinha

Active matter constantly dissipates energy to power the self-propulsion of its microscopic constituents. This opens the door to designing innovative cyclic engines without any equilibrium equivalent. We offer a consistent thermodynamic…

Soft Condensed Matter · Physics 2020-07-08 Timothy Ekeh , Michael E. Cates , Étienne Fodor

In linear transport, the fluctuation-dissipation theorem relates equilibrium current correlations to the linear conductance coefficient. For nonlinear transport, there exist fluctuation relations that rely on Onsager's principle of…

Mesoscale and Nanoscale Physics · Physics 2008-10-29 H. Forster , M. Buttiker

Time-reversal symmetry of most conservative forces constrains the properties of linear transport in most physical systems. Here, I study the efficiency of energy transfer in oscillator networks where time-reversal symmetry is broken locally…

Statistical Mechanics · Physics 2015-01-13 Benedikt Sabass