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Multistable non-equilibrium systems are abundant outcomes of nonlinear dynamics with feedback but still relatively little is known about what determines the stability of the steady states and their switching rates in terms of entropy and…

生物物理 · 物理学 2020-02-11 Jacob Cook , Robert G. Endres

We consider the problem of minimizing the entropy, energy, or exergy production for state transitions of irreversible port-Hamiltonian systems subject to control constraints. Via a dissipativity-based analysis we show that optimal solutions…

最优化与控制 · 数学 2022-02-21 Bernhard Maschke , Friedrich Philipp , Manuel Schaller , Karl Worthmann , Timm Faulwasser

The thermodynamics of quantum phase transitions has long been a rich area of research, providing numerous insights and enhancing our understanding of this important phenomenon. This theoretical framework has been well-developed specially…

量子物理 · 物理学 2024-12-05 Andesson B. Nascimento , Lucas C. Céleri

We study the entropy production rate in systems described by linear Langevin equations, containing mixed even and odd variables under time reversal. Exact formulas are derived for several important quantities in terms only of the means and…

统计力学 · 物理学 2015-07-02 Gabriel T. Landi , Tânia Tomé , Mario J. de Oliveira

We derive general expressions for the free energy, entropy production and entropy extraction rates for a Brownian particle that walks in a viscous medium where the dynamics of its motion is governed by the Langevin equation. It is shown…

统计力学 · 物理学 2016-09-14 Mesfin Asfaw Taye

Based on a variational expression for the steady-state entropy production rate in overdamped Langevin dynamics, we derive concrete upper bounds on the entropy production rate in various physical settings. For particles in a thermal…

统计力学 · 物理学 2023-10-30 Andreas Dechant

The total entropy production of stochastic systems can be divided into three quantities. The first corresponds to the excess heat, whilst the second two comprise the house-keeping heat. We denote these two components the transient and…

统计力学 · 物理学 2015-06-03 Richard E. Spinney , Ian J. Ford

The population dynamics and stability of ecosystems of interacting species is studied from the perspective of non-equilibrium thermodynamics by assuming that species, through their biotic and abiotic interactions, are units of entropy…

生物物理 · 物理学 2007-05-23 Karo Michaelian

Entropy generation in a chemical reaction is analyzed without using the general formalism of non-equilibrium thermodynamics at a level adequate for advanced undergraduates. In a first approach to the problem, the phenomenological kinetic…

综合物理 · 物理学 2015-06-11 E. N. Miranda

The accurate determination of transport coefficients in numerical simulations is becoming increasingly important in a wide range of applications. Here we consider the linear response in systems driven away from thermal equilibrium into a…

统计力学 · 物理学 2016-08-24 Thomas Speck

We study the time evolution of a periodically driven quantum-mechanical system coupled to several reserviors of free fermions at different temperatures. This is a paradigm of a cyclic thermodynamic process. We introduce the notion of a…

数学物理 · 物理学 2007-05-23 Walid K. Abou Salem , Juerg Froehlich

Far-from-equilibrium thermodynamics underpins the emergence of life, but how has been a long-outstanding puzzle. Best candidate theories based on the maximum entropy production principle could not be unequivocally proven, in part due to…

定量方法 · 定量生物学 2017-10-10 Robert G. Endres

Recent years have seen an enormously revived interest in the study of thermodynamic notions in the quantum regime. This applies both to the study of notions of work extraction in thermal machines in the quantum regime, as well as to…

量子物理 · 物理学 2016-12-28 M. Perarnau-Llobet , A. Riera , R. Gallego , H. Wilming , J. Eisert

The paper is concerned with the boundary controllability of entropy weak solutions to hyperbolic systems of conservation laws. We prove a general result on the asymptotic stabilization of a system near a constant state. On the other hand,…

最优化与控制 · 数学 2007-05-23 Alberto Bressan , Giuseppe Maria Coclite

We quantify the amount of regulation required to control growth in living cells by a Maximum Entropy approach to the space of underlying metabolic states described by genome-scale models. Results obtained for E. coli and human cells are…

分子网络 · 定量生物学 2017-07-19 Daniele De Martino , Fabrizio Capuani , Andrea De Martino

Configurational entropy is an important factor in the free energy change of many macromolecular recognition and binding processes, and has been intensively studied. Despite great progresses that have been made, the global sampling remains…

生物物理 · 物理学 2012-12-04 Wenzhao Li , Kai Wang , Suyan Tian , Pu Tian

We derive universal bounds for the finite-time survival probability of the stochastic work extracted in steady-state heat engines and the stochastic heat dissipated to the environment. We also find estimates for the time-dependent…

统计力学 · 物理学 2022-02-23 Gonzalo Manzano , Édgar Roldán

We consider two statistically independent systems described by the same entropy belonging to the two-parameter family of Sharma-Mittal. Assuming a weak interaction among the systems, allowing in this way an exchange of heat and work, we…

统计力学 · 物理学 2009-11-11 A. M. Scarfone

We investigate entropy production in the small-mass (or overdamped) limit of Langevin-Kramers dynamics. The results generalize previous works to provide a rigorous derivation that covers systems with magnetic field as well as anisotropic…

数学物理 · 物理学 2018-10-17 Jeremiah Birrell

We use rigorous non-equilibrium thermodynamic arguments to prove (i) the residual entropy of any system is bounded below by the experimentally (calorimetrically) determined absolute temperature entropy, which itself is bounded below by the…

统计力学 · 物理学 2011-06-13 P. D. Gujrati