Transition from normal to ballistic diffusion in a one-dimensional impact system

Autor(es)

Livorati, Andre L. P. ; Kroetz, Tiago ; Dettmann, Carl P. ; Caldas, Ibere L. ; Leonel, Edson D.

• Tipo de documento: Artigo Científico
• Fonte: PHYSICAL REVIEW E; v. 97, n. 3, p. 9-pg., 2018-03-09.

Resumo

We characterize a transition from normal to ballistic diffusion in a bouncing ball dynamics. The system is composed of a particle, or an ensemble of noninteracting particles, experiencing elastic collisions with a heavy and periodically moving wall under the influence of a constant gravitational field. The dynamics lead to a mixed phase space where chaotic orbits have a free path to move along the velocity axis, presenting a normal diffusion behavior. Depending on the control parameter, one can observe the presence of featured resonances, known as accelerator modes, that lead to a ballistic growth of velocity. Through statistical and numerical analysis of the velocity of the particle, we are able to characterize a transition between the two regimes, where transport properties were used to characterize the scenario of the ballistic regime. Also, in an analysis of the probability of an orbit to reach an accelerator mode as a function of the velocity, we observe a competition between the normal and ballistic transport in the midrange velocity. (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: 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: 15/26699-6 - Investigação de transporte e difusão anômalos para sistemas dinâmicos dependentes do tempo.
• Beneficiário: André Luís Prando Livorati
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Pós-Doutorado