Explaining a changeover from normal to super diffusion in time-dependent billiards

Autor(es)

Hansen, Matheus ^[1] ; Ciro, David ^[2] ; Caldas, Ibere L. ^[1] ; Leonel, Edson D. ^[3]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Fis, BR-05314970 Sao Paulo, SP - Brazil

^[2] Univ Fed Parana, Inst Fis, BR-81531990 Curitiba, PR - Brazil

^[3] UNESP, Dept Fis, BR-13506900 Rio Claro, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: EPL; v. 121, n. 6 MAR 2018.
• Citações Web of Science: 0

Resumo

The changeover from normal to super diffusion in time-dependent billiards is explained analytically. The unlimited energy growth for an ensemble of bouncing particles in time-dependent billiards is obtained by means of a two-dimensional mapping of the first and second moments of the speed distribution function. We prove that, for low initial speeds the average speed of the ensemble grows with exponent similar to 1/2 of the number of collisions with the boundary, therefore exhibiting, normal diffusion. Eventually, this regime changes to a faster growth characterized by an exponent similar to 1 corresponding to super diffusion. For larger initial energies, the temporary symmetry in the diffusion of speeds explains an initial plateau of the average speed. Copyright (C) EPLA, 2018 (AU)

• Processo FAPESP: 17/14414-2 - Investigação de escala em sistemas dinâmicos
• Beneficiário: Edson Denis Leonel
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 11/19296-1 - Dinâmica não linear
• Beneficiário: Iberê Luiz Caldas
• Modalidade de apoio: Auxílio à Pesquisa - Temático