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相关论文: Entropy production given constraints on the energy…

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We derive an exact expression for entropy production during effusion of an ideal gas driven by momentum transfer in addition to energy and particle flux. Following the treatment in Phys. Rev. E Vol. 74, 021117 (2006), we construct a master…

经典物理 · 物理学 2009-11-13 Kevin Wood , C. Van den Broeck , R. Kawai , Katja Lindenberg

An exponential turnpike property for a semilinear control problem is proved. The state-target is assumed to be small, whereas the initial datum can be arbitrary. Turnpike results are also obtained for large targets, requiring that the…

最优化与控制 · 数学 2021-01-26 Dario Pighin

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

Stochastic thermodynamics provides the framework to analyze thermodynamic laws and quantities along individual trajectories of small but fully observable systems. If the observable level fails to capture all relevant degrees of freedom,…

统计力学 · 物理学 2024-07-01 Julius Degünther , Jann van der Meer , Udo Seifert

Using fluorescence spectroscopy we directly measure entropy production of a single two-level system realized experimentally as an optically driven defect center in diamond. We exploit a recent suggestion to define entropy on the level of a…

统计力学 · 物理学 2007-05-23 C. Tietz , S. Schuler , T. Speck , U. Seifert , J. Wrachtrup

The fluctuation theorem for entropy production is a remarkable symmetry of the distribution of produced entropy that holds universally in non-equilibrium steady states with Markovian dynamics. However, in systems with slow degrees of…

统计力学 · 物理学 2018-02-21 Matthias Uhl , Patrick Pietzonka , Udo Seifert

The second law of nonequilibrium thermodynamics within the open system paradigm (a small system coupled to one or multiple baths) is derived. This is done by showing positivity of entropy production for arbitrary Hamiltonian dynamics for a…

统计力学 · 物理学 2020-08-28 Philipp Strasberg

Bridging the second law of thermodynamics and microscopic reversible dynamics has been a longstanding problem in statistical physics. We here address this problem on the basis of quantum many-body physics, and discuss how the entropy…

统计力学 · 物理学 2018-01-03 Kazuya Kaneko , Eiki Iyoda , Takahiro Sagawa

Entropy production (EP) is a key quantity in thermodynamics, and yet measuring EP has remained a challenging task. Here we introduce an EP estimator, called multidimensional entropic bound (MEB), utilizing an ensemble of trajectories…

统计力学 · 物理学 2024-09-06 Sangyun Lee , Dong-Kyum Kim , Jong-Min Park , Won Kyu Kim , Hyunggyu Park , Jae Sung Lee

Employing the stochastic wave function method, we study quantum features of stochastic entropy production in nonequilibrium processes of open systems. It is demonstarted that continuous measurements on the environment introduce an…

量子物理 · 物理学 2013-10-16 B. Leggio , A. Napoli , A. Messina , H. -P. Breuer

The entropy production rate is central to the study of non-equilibrium systems. This parameter is closely connected to violation of time-reversal symmetry, energy consumption, efficiency, and other properties of interest; in short, it…

统计力学 · 物理学 2026-05-28 John W. Biddle

For a system moving away from equilibrium, we express the entropy production via a two-point correlation function for any time and any distance from equilibrium. The long-time limit gives the sum of the Lyapunov exponents for a general…

混沌动力学 · 物理学 2007-05-23 Gregory Falkovich , Alexander Fouxon

Fluctuations in parameters that are typically treated as fixed play a crucial role in the behavior of complex systems. However, to date, we lack a general non-equilibrium thermodynamic treatment of such a complex system. In this Letter, to…

统计力学 · 物理学 2026-03-31 Tuan Pham , Deepak Gupta

We consider discrete and continuous representations of a thermodynamic process in which a random walker (e.g. a molecular motor on a molecular track) uses a periodically pumped energy (work) to pass $N$ sites and move energetically downhill…

统计力学 · 物理学 2023-08-17 Henning Kirchberg , Abraham Nitzan

A simplified thermodynamic approach of the incompressible 2D Euler equation is considered based on the conservation of energy, circulation and microscopic enstrophy. Statistical equilibrium states are obtained by maximizing the…

流体动力学 · 物理学 2011-04-12 A. Naso , P. H. Chavanis , B. Dubrulle

Topological operations have the merit of achieving certain goals without requiring accurate control over local operational details. To date, topological operations have been used to control geometric phases, and have been proposed as a…

光学 · 物理学 2016-09-13 H. Xu , D. Mason , L. Jiang , J. G. E. Harris

Probably not, because there are lots of manifestly unanthropic ways of producing entropy. We demonstrate that the Causal Entropic Principle (CEP), as a replacement for the anthropic principle to explain the properties of the observed…

高能物理 - 理论 · 物理学 2008-12-05 Irit Maor , Thomas W. Kephart , Lawrence M. Krauss , Y. Jack Ng , Glenn D. Starkman

This paper studies distributed optimal formation control with hard constraints on energy levels and termination time, in which the formation error is to be minimized jointly with the energy cost. The main contributions include a globally…

系统与控制 · 电气工程与系统科学 2020-06-24 Chunxiang Jia , Fei Chen , Linying Xiang , Weiyao Lan , Gang Feng

Starting from the most general formulation of stochastic thermodynamics---i.e. a thermodynamically consistent nonautonomous stochastic dynamics describing systems in contact with several reservoirs---, we define a procedure to identify the…

统计力学 · 物理学 2018-02-07 Riccardo Rao , Massimiliano Esposito

A stopping time $T$ is the first time when a trajectory of a stochastic process satisfies a specific criterion. In this paper, we use martingale theory to derive the integral fluctuation relation $\langle e^{-S_{\rm tot}(T)}\rangle=1$ for…

统计力学 · 物理学 2019-10-22 Izaak Neri , Edgar Roldán , Simone Pigolotti , Frank Jülicher