On the statistical and transport properties of a non-dissipative Fermi-Ulam model

Autor(es)

Livorati, Andre L. P. ^{[1, 2, 3]} ; Dettmann, Carl P. ^[2] ; Caldas, Ibere L. ^[3] ; Leonel, Edson D. ^{[1, 4]}

Afiliação do(s) autor(es)

^[1] Univ Estadual Paulista, UNESP, Dept Fis, BR-13506900 Rio Claro, SP - Brazil

^[2] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon - England

^[3] Univ Sao Paulo, Inst Fis, IFUSP, BR-05314970 Sao Paulo, SP - Brazil

^[4] Abdus Salam Int Ctr Theoret Phys, I-34151 Trieste - Italy

• Tipo de documento: Artigo Científico
• Fonte: Chaos; v. 25, n. 10 OCT 2015.
• Citações Web of Science: 7

Resumo

The transport and diffusion properties for the velocity of a Fermi-Ulam model were characterized using the decay rate of the survival probability. The system consists of an ensemble of non-interacting particles confined to move along and experience elastic collisions with two infinitely heavy walls. One is fixed, working as a returning mechanism of the colliding particles, while the other one moves periodically in time. The diffusion equation is solved, and the diffusion coefficient is numerically estimated by means of the averaged square velocity. Our results show remarkably good agreement of the theory and simulation for the chaotic sea below the first elliptic island in the phase space. From the decay rates of the survival probability, we obtained transport properties that can be extended to other nonlinear mappings, as well to billiard problems. (C) 2015 AIP Publishing LLC. (AU)

• Processo FAPESP: 12/23688-5 - Expoentes e leis de escala, transições de fase e propriedades de transporte em sistemas dependentes do tempo
• Beneficiário: Edson Denis Leonel
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 14/25316-3 - Estudo de propriedades de difusão e transporte de partículas usando formalismo de escape para sistemas dependentes do tempo
• Beneficiário: André Luís Prando Livorati
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 11/19296-1 - Dinâmica não linear
• Beneficiário: Iberê Luiz Caldas
• Modalidade de apoio: Auxílio à Pesquisa - Temático