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We present a new outlook on the climate system thermodynamics, studying some of its macroscopic properties in terms of the 1st and 2nd laws of thermodynamics. We review and clarify the notion of efficiency of the climate system by…

大气与海洋物理 · 物理学 2011-10-11 Valerio Lucarini

The quasi-stationary nonequilibrium distribution function of an independent electron gas interacting with a medium, which is at local thermal equilibrium, can be obtained by entropy production rate minimization, subject to constraints of…

统计力学 · 物理学 2010-05-18 Thomas Christen

For periodically driven systems, we derive a family of inequalities that relate entropy production with experimentally accessible data for the mean, its dependence on driving frequency, and the variance of a large class of observables. With…

统计力学 · 物理学 2019-06-25 Timur Koyuk , Udo Seifert

We revisit textbook claims that entropy must increase and show that, under time-reversal invariant microscopic dynamics, no universal trajectory-wise or statistical assertion that the coarse-grained entropy $S(t)$ is non-decreasing can…

统计力学 · 物理学 2026-03-06 Ting Peng

This paper studies the long-time behavior of optimal solutions for a class of linear-convex optimal control problems. We focus on a partial exponential turnpike property, established without imposing controllability or stabilizability…

最优化与控制 · 数学 2026-02-10 Jingrui Sun , Lvning Yuan

We study entropy production (EP) in processes involving repeated quantum measurements of finite quantum systems. Adopting a dynamical system approach, we develop a thermodynamic formalism for the EP and study fine aspects of irreversibility…

数学物理 · 物理学 2017-08-02 Tristan Benoist , Vojkan Jaksic , Yan Pautrat , Claude-Alain Pillet

We explore a recently introduced quantum thermodynamic entropy $S^Q_{univ}$ of a pure state of a composite system-environment computational "universe" with a simple system $\mathcal{S}$ coupled to a constant temperature bath $\mathcal{E}$.…

量子物理 · 物理学 2022-11-28 Phillip C. Lotshaw , Michael E. Kellman

We consider irreversible and coupled reversible-irreversible nonlinear port-Hamiltonian systems and the respective sets of thermodynamic equilibria. In particular, we are concerned with optimal state transitions and output stabilization on…

最优化与控制 · 数学 2024-10-08 Friedrich Philipp , Manuel Schaller , Karl Worthmann , Timm Faulwasser , Bernhard Maschke

There are only a very few known relations in statistical dynamics that are valid for systems driven arbitrarily far-from-equilibrium. One of these is the fluctuation theorem, which places conditions on the entropy production probability…

统计力学 · 物理学 2009-09-25 Gavin E. Crooks

Using stochastic thermodynamics, the properties of interacting linear chains subject to periodic drivings are investigated. The systems are described by Fokker-Planck-Kramers equation and exact (explicit) solutions are obtained for periodic…

统计力学 · 物理学 2020-02-05 Bruno A. N. Akasaki , M. J. de Oliveira , Carlos E. Fiore

A theory for non-equilibrium systems is derived from a maximum entropy approach similar in spirit to the equilibrium theory given by Gibbs. Requiring Hamilton's principle of stationary action to be satisfied on average during a trajectory,…

统计力学 · 物理学 2019-02-04 David M. Rogers , Susan B. Rempe

Knowing if an optimal solution is local or global has always been a hard question to answer in more sophisticated situations of optimization problems. In this work, for finite-time and weak isothermal driving processes, we show the…

统计力学 · 物理学 2023-02-16 Pierre Nazé

We consider thermodynamic systems with finitely many degrees of freedom and subject to an external control action. We derive some basic results on the dependence of the relative entropy production rate on the controlling force. Applications…

数学物理 · 物理学 2007-05-23 M. Pavon , F. Ticozzi

We study the statistics of infima, stopping times and passage probabilities of entropy production in nonequilibrium steady states, and show that they are universal. We consider two examples of stopping times: first-passage times of entropy…

统计力学 · 物理学 2017-02-28 Izaak Neri , Édgar Roldán , Frank Jülicher

We study the thermodynamics of open systems weakly driven out-of-equilibrium by nonconservative and time-dependent forces using the linear regime of stochastic thermodynamics. We make use of conservation laws to identify the potential and…

统计力学 · 物理学 2022-10-13 Danilo Forastiere , Riccardo Rao , Massimiliano Esposito

The minimum rate of entropy production (MREP) and the least dissipation energy (LDE) principles are re-examined concerning continuous systems in stationary nonequilibrium states. By means of simple considerations on coefficients of…

经典物理 · 物理学 2009-06-04 M. Salis

We discuss entropy production in nonequilibrium steady states by focusing on paths obtained by sampling at regular (small) intervals, instead of sampling on each change of the system's state. This allows us to study directly entropy…

统计力学 · 物理学 2011-09-07 Daniel ben-Avraham , Sven Dorosz , Michel Pleimling

The rate of entropy production by a stochastic process quantifies how far it is from thermodynamic equilibrium. Equivalently, entropy production captures the degree to which detailed balance and time-reversal symmetry are broken. Despite…

统计力学 · 物理学 2020-12-02 Luca Cocconi , Rosalba Garcia-Millan , Zigan Zhen , Bianca Buturca , Gunnar Pruessner

We investigate an unconventional nature of the entropy production (EP) in nonequilibrium systems with odd-parity variables that change signs under time reversal. We consider the Brownian motion of a particle in contact with a heat…

统计力学 · 物理学 2020-01-08 Chulan Kwon , Joonhyun Yeo , Hyun Keun Lee , Hyunggyu Park

The entropy production rate for an open quantum system with a classically chaotic limit has been previously argued to be independent of $\hbar$ and $D$, the parameter denoting coupling to the environment, and to be equal to the sum of…

量子物理 · 物理学 2007-05-23 Arnaldo Gammal , Arjendu K. Pattanayak