| Texto completo | |
| Autor(es): |
Hansen, Matheus
;
Egydio de Carvalho, R.
;
Leonel, Edson D.
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Physics Letters A; v. 380, n. 43, p. 3634-3639, OCT 23 2016. |
| Citações Web of Science: | 4 |
| Resumo | |
Statistical properties for the recurrence of particles in an oval billiard with a hole in the boundary are discussed. The hole is allowed to move in the boundary under two different types of motion: (i) counter-clockwise periodic circulation with a fixed step length and; (ii) random movement around the boundary. After injecting an ensemble of particles through the hole we show that the surviving probability of the particles without recurring - without escaping - from the billiard is described by an exponential law and that the slope of the decay is proportional to the relative size of the hole. Since the phase space of the system exhibits islands of stability we show there are preferred regions of escaping in the polar angle, hence given a partial answer to an open problem: Where to place a hole in order to maximize or minimize a suitable defined measure of escaping. (C) 2016 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 |
| Processo FAPESP: | 14/00334-9 - The 7th Chaotic Modeling & Simulation International Conference - CHAOS-2014 |
| Beneficiário: | Ricardo Egydio de Carvalho |
| Modalidade de apoio: | Auxílio à Pesquisa - Reunião - Exterior |