Sporadic randomness, Maxwell's Demon and the Poincare' recurrence times

Autor: Aquino, Gerardo, Grigolini, Paolo, Scafetta, Nicola

In the case of fully chaotic systems the distribution of the Poincare'recurrence times is an exponential whose decay rate is the Kolmogorov-Sinai(KS) entropy.We address the discussion of the same problem, the connection between dynamics and thermodyn

Externí odkaz: http://arxiv.org/abs/cond-mat/0006245

Poincaré recurrence times in stochastic mixing processes

Autor: Amorim, Vitor Gustavo de

Publikováno v: Biblioteca Digital de Teses e Dissertações da USP
Universidade de São Paulo (USP)
instacron:USP
Repositório Institucional da UFSCAR
Universidade Federal de São Carlos (UFSCAR)
instacron:UFSCAR

Não recebi financiamento In the context of the discrete-time stochastic processes, this thesis presents new results on Poincaré recurrence theory. After a complete review of recent results, we present a new theorem on the exponential approximations

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::afd54cff0702afd53bd00689155eeeac

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Computational mechanics of molecular systems:quantifying high-dimensional dynamics by distribution of Poincaré recurrence times

Autor: Ryabov, Vladimir, Nerukh, Dmitry

A framework that connects computational mechanics and molecular dynamics has been developed and described. As the key parts of the framework, the problem of symbolising molecular trajectory and the associated interrelation between microscopic phase s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=core_ac_uk__::76205d87370214b20a1e9ba96a8472f1
https://publications.aston.ac.uk/id/eprint/38627/1/1.3608125.pdf

Potential Well in Poincaré Recurrence

Autor: Sandro Gallo, Vitor Gustavo de Amorim, Miguel Abadi

Publikováno v: Entropy
Volume 23
Issue 3
Entropy, Vol 23, Iss 379, p 379 (2021)
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP

From a physical/dynamical system perspective, the potential well represents the proportional mass of points that escape the neighbourhood of a given point. In the last 20 years, several works have shown the importance of this quantity to obtain preci

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::30c4b567e492bb0e9d578bdc36a1ae39