Thermodynamics of a bouncer model: A simplified one-dimensional gas

Autor(es)

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

Afiliação do(s) autor(es)

^[1] Abdus Salam Int Ctr Theoret Phys, I-34151 Trieste - Italy

^[2] UNESP Univ Estadual Paulista, Dept Fis, BR-13506900 Rio Claro, SP - Brazil

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

^[4] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon - England

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION; v. 20, n. 1, p. 159-173, JAN 2015.
• Citações Web of Science: 10

Resumo

Some dynamical properties of non interacting particles in a bouncer model are described. They move under gravity experiencing collisions with a moving platform. The evolution to steady state is described in two cases for dissipative dynamics with inelastic collisions: (i) for large initial energy; (ii) for low initial energy. For (i) we prove an exponential decay while for (ii) a power law marked by a changeover to the steady state is observed. A relation for collisions and time is obtained and allows us to write relevant observables as temperature and entropy as function of either number of collisions and time. (C) 2014 Elsevier B.V. All rights reserved. (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