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The expressions for entropy production, free energy, and entropy extraction rates are derived for a Brownian particle that walks in an underdamped medium. Our analysis indicates that as long as the system is driven out of equilibrium, it…

统计力学 · 物理学 2021-02-18 Mesfin Asfaw Taye

Subtraction games is a class of impartial combinatorial games, They with finite subtraction sets are known to have periodic nim-sequences. So people try to find the regular of the games. But for specific of Sprague-Grundy Theory, it is too…

计算机科学与博弈论 · 计算机科学 2015-03-20 Zhihui Qin , Guanglei He

Information plays a pivotal role in the thermodynamics of nonequilibrium processes with feedback. However, much remains to be learned about the nature of information fluctuations in small scale devices and their relation with fluctuations…

统计力学 · 物理学 2016-12-21 Martin Luc Rosinberg , Jordan M. Horowitz

The interplay between charge stripes and pairing has long been a subject of scrutiny in a broad class of unconventional superconductors, as in some cases it is unclear whether this interplay benefits the ensuing superfluidity. Experiments…

强关联电子 · 物理学 2026-03-16 Jianhao Sun , Richard T. Scalettar , Rubem Mondaini

We introduce a non-diffusive spatial coupling term into the replicator equation of evolutionary game theory. The spatial flux is based on motion due to local gradients in the relative fitness of each strategy, providing a game-dependent…

斑图形成与孤子 · 物理学 2015-06-12 Russ deForest , Andrew Belmonte

A unifying theory is put forward that entropy is equal to action. The crowning derivation is based on information theoretic methods and uses our hypothesis that "particles move via the discrete Bernoulli Process." While this hypothesis…

综合物理 · 物理学 2022-09-13 John L. Haller

We experimentally study the statistical properties of the energy fluxes between two trapped Brownian particles, interacting through dissipative hydrodynamic coupling, submitted to an effective temperature difference $\Delta T$, obtained by…

统计力学 · 物理学 2016-02-17 A Bérut , A Imparato , A Petrosyan , S Ciliberto

Schmidt's game is a powerful tool for studying properties of certain sets which arise in Diophantine approximation theory, number theory, and dynamics. Recently, many new results have been proven using this game. In this paper we address…

逻辑 · 数学 2019-02-20 Lior Fishman , Tue Ly , David S. Simmons

The statistics of lagrangian velocity divergence are studied for an assembly of particles in compressible turbulence on a free surface. Under an appropriate definition of entropy, the two-dimensional lagrangian velocity divergence of a…

混沌动力学 · 物理学 2009-11-11 M. M. Bandi , J. R. Cressman , W. I. Goldburg

We report on the occurrence of multiple hopping and retrapping of a Brownian particle in a tilted washboard potential. The escape dynamic has been studied experimentally by measuring the switching current distributions as a function of…

Many forms of cell motility rely on Brownian ratchet mechanisms that involve multiple stochastic processes. We present a computational and theoretical study of the nonequilibrium statistical dynamics of such a many-body ratchet, in the…

统计力学 · 物理学 2014-11-06 Evan Hohlfeld , Phillip L. Geissler

An interesting feature of the Davies-Unruh effect is that an uniformly accelerated observer sees an isotropic thermal spectrum of particles even though there is a preferred direction in this context, determined by the direction of the…

广义相对论与量子宇宙学 · 物理学 2012-11-29 Sanved Kolekar , T. Padmanabhan

The Jarzynski equality is generalized to situations in which nonequilibrium systems are subject to a feedback control. The new terms that arise as a consequence of the feedback describe the mutual information content obtained by measurement…

统计力学 · 物理学 2015-05-13 Takahiro Sagawa , Masahito Ueda

The study of Brownian ratchets has taught how time-periodic driving supports a time-periodic steady state that generates nonequilibrium transport. When a single particle is transported in one dimension, it is possible to rationalize the…

统计力学 · 物理学 2022-06-22 Nils E. Strand , Hadrien Vroylandt , Todd R. Gingrich

The ability of a deterministic, plastic system to learn to imitate stochastic behavior is analyzed. Two neural networks -actually, two perceptrons- are put to play a zero-sum game one against the other. The competition, by acting as a kind…

无序系统与神经网络 · 物理学 2009-10-31 I. Samengo , D. H. Zanette

Mixed damping is a physical effect that occurs when a heavy species is coupled to a relativistic fluid which is itself free streaming. As a cross-case between collisional damping and free-streaming, it is crucial in the context of…

宇宙学与河外天体物理 · 物理学 2019-08-21 Julia Stadler , Céline Bœhm , Olga Mena

Fluctuation theorems make use of time reversal to make predictions about entropy production in many-body systems far from thermal equilibrium. Here we review the wide variety of distinct, but interconnected, relations that have been derived…

统计力学 · 物理学 2007-08-02 R. J. Harris , G. M. Schütz

Digital educational games have demonstrated large variations in learning outcomes and transfer. Furthermore, educational games are usually embedded in a larger educational setting. This case study evaluates in detail a lesson around an…

物理教育 · 物理学 2023-07-06 Anne van der Linden , Ralph F. G. Meulenbroeks , Wouter R. van Joolingen

We investigate the model of "reversible ratchet" with interacting particles, introduced by us earlier [Europhys. Lett. 84, 50009 (2008)]. We further clarify the effect of efficiency enhancement due to interaction and show that it is of…

统计力学 · 物理学 2015-03-19 Frantisek Slanina

The horizontal dynamics of a bouncing ball interacting with an irregular surface is investigated and is found to demonstrate behavior analogous to a random walk. Its stochastic character is substantiated by the calculation of a permutation…

物理教育 · 物理学 2025-09-15 Luiz Antonio Barreiro