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


Autoria(s): Leonel, Edson D.; Livorati, Andre L. P.
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

18/03/2015

18/03/2015

01/01/2015

Resumo

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Processo FAPESP: 12/23688-5

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.

Formato

159-173

Identificador

http://dx.doi.org/10.1016/j.cnsns.2014.05.023

Communications In Nonlinear Science And Numerical Simulation. Amsterdam: Elsevier Science Bv, v. 20, n. 1, p. 159-173, 2015.

1007-5704

http://hdl.handle.net/11449/116483

10.1016/j.cnsns.2014.05.023

WOS:000341356700015

Idioma(s)

eng

Publicador

Elsevier B.V.

Relação

Communications In Nonlinear Science And Numerical Simulation

Direitos

closedAccess

Palavras-Chave #Bouncer model #Diffusion in energy #Scaling
Tipo

info:eu-repo/semantics/article