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Two losing gambling games, when alternated in a periodic or random fashion, can produce a winning game. This paradox has been inspired by certain physical systems capable of rectifying fluctuations: the so-called Brownian ratchets. In this…

物理与社会 · 物理学 2014-10-03 J. M. R. Parrondo , L. Dinis

Parrondo's paradox is about a paradoxical game and gambling where two probabilistic losing games can be combined to form a winning game. While the counter intuitive game is interesting in itself, it can be thought of a discrete version of…

物理与社会 · 物理学 2016-02-16 Abhijit Kar Gupta , Sourabh Banerjee

Based on Brownian ratchets, a counter-intuitive phenomenon has recently emerged -- namely, that two losing games can yield, when combined, a paradoxical tendency to win. A restriction of this phenomenon is that the rules depend on the…

统计力学 · 物理学 2009-10-31 Juan M. R. Parrondo , Gregory P. Harmer , Derek Abbott

I give a simple analysis of the game that I previously published in Scientific American which shows the paradoxical behavior whereby two losing games randomly combine to form a winning game. The game, modeled on a random walk, requires only…

数据分析、统计与概率 · 物理学 2007-05-23 R. Dean Astumian

The recently discovered Parrondo's paradox claims that two losing games can result, under random or periodic alternation of their dynamics, in a winning game: "losing+losing=winning". In this paper we follow Parrondo's philosophy of…

混沌动力学 · 物理学 2009-11-10 J. Almeida , D. Peralta-Salas , M. Romera

We discuss some aspects of Astumian suggestions that combination of biased games (Parrondo's paradox) can explain performance of molecular motors. Unfortunately the model is flawed by explicit asymmetry overlooked by the author. In…

数据分析、统计与概率 · 物理学 2007-05-23 Edward W. Piotrowski , Jan Sladkowski

Brownian motors, i.e. devices able to produce useful work out of thermal forces with the help of other unbiased forces, provide an ideal benchmark for the investigation of quantum dissipative systems, for two reasons. First, the interaction…

介观与纳米尺度物理 · 物理学 2007-05-23 J. Peguiron

In systems possessing a spatial or dynamical symmetry breaking thermal Brownian motion combined with unbiased, non-equilibrium noise gives rise to a channelling of chance that can be used to exercise control over systems at the micro- and…

统计力学 · 物理学 2009-11-10 P. Hänggi , F. Marchesoni , F. Nori

A Brownian Motor is a nanoscale or molecular device that combines the effects of thermal noise, spatial or temporal asymmetry, and directionless input energy to drive directed motion. Because of the input energy, Brownian motors function…

统计力学 · 物理学 2009-11-13 R. Dean Astumian

We show that the correlated stochastic fluctuation of the friction coefficient can give rise to long-range directional motion of a particle undergoing Brownian random walk in a constant periodic energy potential landscape. The occurrence of…

软凝聚态物质 · 物理学 2009-11-07 Lorenzo Marrucci , Domenico Paparo , Markus Kreuzer

We study an ensemble of individuals playing the two games of the so-called Parrondo paradox. In our study, players are allowed to choose the game to be played by the whole ensemble in each turn. The choice cannot conform to the preferences…

物理与社会 · 物理学 2016-08-10 J. M. R. Parrondo , L. Dinis , E. García-Toraño , B. Sotillo

Human-created engines and evolutionarily optimized molecular motors exhibit sophisticated design in order to harvest chemical or thermal energy for generating unidirectional motion. The complexity of these motors makes their random…

统计力学 · 物理学 2017-05-10 Alexander Feigel , Asaf Rozen

Parrondo's paradox arises in sequences of games in which a winning expectation may be obtained by playing the games in a random order, even though each game in the sequence may be lost when played individually. We present a suitable version…

概率论 · 数学 2007-06-19 Antonio Di Crescenzo

This article analyzes the behavior of a Brownian fluctuation process under a mixed strategic game setup. A variant of a compound Brownian motion has been newly proposed, which is called the Shifted Brownian Fluctuation Process to predict…

概率论 · 数学 2022-05-23 Song-Kyoo Kim

The Parrondo effect describes the seemingly paradoxical situation in which two losing games can, when combined, become winning [Phys. Rev. Lett. 85, 24 (2000)]. Here we generalize this analysis to the case where both games are…

凝聚态物理 · 物理学 2009-11-07 Roland J. Kay , Neil F. Johnson

Parrondo's games manifest the apparent paradox where losing strategies can be combined to win and have generated significant multidisciplinary interest in the literature. Here we review two recent approaches, based on the Fokker-Planck…

统计力学 · 物理学 2009-11-10 P. Amengual , A. Allison , R. Toral , D. Abbott

Stochastic thermodynamics as reviewed here systematically provides a framework for extending the notions of classical thermodynamics like work, heat and entropy production to the level of individual trajectories of well-defined…

统计力学 · 物理学 2015-06-05 Udo Seifert

Brownian particles interacting sequentially with distinct temperatures and driving forces at each stroke have been tackled as a reliable alternative for the construction of engine setups. However they can behave very inefficiently depending…

统计力学 · 物理学 2022-12-28 Iago N. Mamede , Angel L. L. Stable , C. E. Fiore

A Brownian ratchet is a one-dimensional diffusion process that drifts toward a minimum of a periodic asymmetric sawtooth potential. A flashing Brownian ratchet is a process that alternates between two regimes, a one-dimensional Brownian…

概率论 · 数学 2018-02-01 S. N. Ethier , Jiyeon Lee

Parrondo's paradox indicates a paradoxical situation in which a winning expectation may occur in sequences of losing games. There are many versions of the original Parrondo's games in the literature, but the games are played by two players…

种群与进化 · 定量生物学 2021-02-03 Atiyeh Fotoohinasab
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