Transport in the barrier billiard

∞ . For irrational alpha , the collision map is ergodic and has a family of weakly mixing observables, the transport is not ballistic, and autocorrelation functions decay only in time average, but may not decay for a family of irrational alpha 's. An exhaustive numerical computation shows that the transport may be superdiffusive or subdiffusive with various rates or bounded strongly depending on the values of alpha . The variety of transport behaviors sounds reminiscent of well-known behavior of conservative systems. Considering then an ensemble of particles with nonfixed alpha , the system is nonergodic and certainly not mixing and has anomalous diffusion with self-similar space-time properties. However, we verified that such a system decomposes into ergodic subdynamics breaking self-similarity. -->
Jazyk: English
ISSN: 2470-0045
2470-0053
DOI: 10.1103/PhysRevE.93.062216⟩
Přístupová URL adresa: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::74149d74e48eed3a96081fe682c59970
https://hal.science/hal-03729655
Rights: CLOSED
Přírůstkové číslo: edsair.doi.dedup.....74149d74e48eed3a96081fe682c59970
Autor: Wahb Ettoumi, Maurice Courbage, Seyed Majid Saberi Fathi
Přispěvatelé: Department of Physics, University of Sistan and Baluchestan, Laboratoire de Physique des Plasmas (LPP), Université Paris-Sud - Paris 11 (UP11)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Observatoire de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-École polytechnique (X)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Matière et Systèmes Complexes (MSC), Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Physical Review E
Physical Review E, 2016, 93, ⟨10.1103/PhysRevE.93.062216⟩
ISSN: 2470-0045
2470-0053
DOI: 10.1103/PhysRevE.93.062216⟩
Popis: International audience; We investigate transport properties of an ensemble of particles moving inside an infinite periodic horizontal planar barrier billiard. A particle moves among bars and elastically reflects on them. The motion is a uniform translation along the bars' axis. When the tangent of the incidence angle, alpha , is fixed and rational, the second moment of the displacement along the orthogonal axis at time n , , is either bounded or asymptotic to K n2 , when n -->∞ . For irrational alpha , the collision map is ergodic and has a family of weakly mixing observables, the transport is not ballistic, and autocorrelation functions decay only in time average, but may not decay for a family of irrational alpha 's. An exhaustive numerical computation shows that the transport may be superdiffusive or subdiffusive with various rates or bounded strongly depending on the values of alpha . The variety of transport behaviors sounds reminiscent of well-known behavior of conservative systems. Considering then an ensemble of particles with nonfixed alpha , the system is nonergodic and certainly not mixing and has anomalous diffusion with self-similar space-time properties. However, we verified that such a system decomposes into ergodic subdynamics breaking self-similarity.
Databáze: OpenAIRE
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