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相关论文: Parrondo's games and the zipping algorithm

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In this paper we introduce a new approach for the study of the complex behavior of Minority Game using the tools of algorithmic complexity, physical entropy and information theory. We show that physical complexity and mutual information…

统计力学 · 物理学 2007-05-23 Ricardo Mansilla Corona

The Parrondo's paradox is a counterintuitive phenomenon where individually-losing strategies can be combined in producing a winning expectation. In this paper, the issues surrounding the Parrondo's paradox are investigated. The focus is…

计算机科学与博弈论 · 计算机科学 2014-03-24 Jian-Jun Shu , Qi-Wen Wang

An ensemble of Brownian particles in a feedback controlled flashing ratchet is studied. The ratchet potential is switched on and off depending on the position of the particles, with the aim of maximizing the current. We study in detail a…

统计力学 · 物理学 2007-05-23 F. J. Cao , L. Dinis , J. M. R. Parrondo

We consider C*-algebras of finite higher-rank graphs along with their rotational action. We show how the entropy theory of product systems with finite frames applies to identify the phase transitions of the dynamics. We compute the positive…

算子代数 · 数学 2020-01-24 Evgenios T. A. Kakariadis

The thermodynamic uncertainty relation, originally derived for classical Markov-jump processes, provides a trade-off relation between precision and dissipation, deepening our understanding of the performance of quantum thermal machines.…

统计力学 · 物理学 2021-03-31 Junjie Liu , Dvira Segal

We consider a collective version of Parrondo's games with probabilities parametrized by rho in (0,1) in which a fraction phi in (0,1] of an infinite number of players collectively choose and individually play at each turn the game that…

概率论 · 数学 2011-11-23 S. N. Ethier , Jiyeon Lee

The energetic efficiency of an overdamped Brownian particle in a saw tooth potential in the presence of time asymmetric forcing is studied in the adiabatic limit. An error made in the earlier work on the same problem in literature is…

统计力学 · 物理学 2007-05-23 Raishma Krishnan , Soumen Roy , A. M. Jayannavar

We investigate Brownian motion with diffusivity alternately fluctuating between fast and slow states. We assume that sojourn-time distributions of these two states are given by exponential or power-law distributions. We develop a theory of…

统计力学 · 物理学 2019-07-17 Tomoshige Miyaguchi , Takashi Uneyama , Takuma Akimoto

We study analytically the probability distribution of the heat released by an ensemble of harmonic oscillators to the thermal bath, in the nonequilibrium relaxation process following a temperature quench. We focus on the asymmetry…

统计力学 · 物理学 2017-05-29 A. Crisanti , A. Sarracino , M. Zannetti

Parrondo's paradox is ubiquitous in games, ratchets and random walks.The apparent paradox, devised by J.~M.~R.~Parrondo, that two losing games $A$ and $B$ can produce an winning outcome has been adapted in many physical and biological…

量子物理 · 物理学 2018-02-15 Jishnu Rajendran , Colin Benjamin

We study the phenomena of noise induced transport in frictional ratchet systems. For this we consider a Brownian particle moving in a space dependent frictional medium in the presence of external white noise fluctuations. To get the…

统计力学 · 物理学 2009-07-13 Raishma Krishnan , Debasis Dan , A. M. Jayannavar

In the last two decades, fluctuation theorems have been proved formally and demonstrated experimentally for several variables (such as entropy production, work, or flux) and different noises causing the fluctuations (of either thermal or…

物理与社会 · 物理学 2025-05-27 Peter Sidajaya , Jovan Hsuen Khai Low , Clive Cenxin Aw , Valerio Scarani

We explore the properties of run-and-tumble particles moving in a piecewise-linear "ratchet" potential by deriving analytic results for the system's steady-state probability density, current, entropy production rate, extractable power, and…

统计力学 · 物理学 2023-08-01 Connor Roberts , Zigan Zhen

Bennett's pebble game was introduced to obtain better time/space tradeoffs in the simulation of standard Turing machines by reversible ones. So far only upper bounds for the tradeoff based on the pebble game have been published. Here we…

组合数学 · 数学 2016-09-06 Emanuel Knill

An analytical result and an algorithm are derived for the probability distribution of the one-dimensional cooperative Parrondo's games. We show that winning and the occurrence of the paradox depends on the number of players. Analytical…

统计力学 · 物理学 2007-05-23 Zoran Mihailovic , Milan Rajkovic

We investigate in this work the effects of interaction on the fluctuation of empirical measures. The systems with positive definite interaction potentials tend to exhibit smaller fluctuation compared to the fluctuation in standard Monte…

概率论 · 数学 2022-04-19 Lei Li , Jiaheng Chen

We study the evolution of a collection of individuals subject to Brownian diffusion, reproduction and disappearance. In particular, we focus on the case where the individuals are initially prepared at equilibrium within a confined geometry.…

统计力学 · 物理学 2015-01-06 Andrea Zoia , Eric Dumonteil , Alain Mazzolo , Clélia de Mulatier , Alberto Rosso

Directed transport of interacting active (self-propelled)Brownian particles is numerically investigated in confined geometries (entropic barriers). The self-propelled velocity can break thermodynamical equilibrium and induce the directed…

统计力学 · 物理学 2015-05-12 Bao-quan Ai , Ya-feng He , Wei-rong Zhong

The stochastic motion of a particle with long-range correlated increments (the moving phase) which is intermittently interrupted by immobilizations (the traping phase) in a disordered medium is considered in the presence of an external…

统计力学 · 物理学 2023-08-31 Yingjie Liang , Wei Wang , Ralf Metzler

Non-equilibrium stochastic dynamics of several active Brownian systems are modeled in terms of non-linear velocity dependent force. In general, this force may consist of both even and odd functions of velocity. We derive the expression for…

统计力学 · 物理学 2016-09-14 Debasish Chaudhuri
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