Fermi acceleration with memory-dependent excitation
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Data
2009-12-15
Autores
Leonel, Edson Denis [UNESP]
Marinho, Eraldo P. [UNESP]
Título da Revista
ISSN da Revista
Título de Volume
Editor
Elsevier B.V.
Resumo
Some scaling properties for a classical particle confined to bounce between two walls, where one wall is fixed and the other one moves in time according to a random signal with a memory length are studied. We have considered two different kinds of collisions of the particle with the moving wall namely: (i) elastic and (ii) inelastic. The dynamics of the model is described in terms of a two-dimensional nonlinear mapping. For the case of elastic collisions, we show that the memory of the stochastic signal affects directly the behaviour of the average velocity of the particle. It then exhibits different slopes for the average velocity at different stages of the series with beta congruent to 3/4 for a short time, beta congruent to 1 for the average stage and beta congruent to 1/2 for a long time, as predicted by the Central Limit Theorem, therefore leading to the Fermi acceleration. The situation where inelastic collisions are taken into account yields a more drastic change, particularly suppressing the Fermi acceleration. (c) 2009 Elsevier B.V. All rights reserved.
Descrição
Palavras-chave
Fermi accelerator model, Dissipation, Suppression of Fermi acceleration, Stochastic dynamics, Non-markovian, Memory-dependent processes
Como citar
Physica A-statistical Mechanics and Its Applications. Amsterdam: Elsevier B.V., v. 388, n. 24, p. 4927-4935, 2009.