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Ensemble separation and stickiness influence in a driven stadium-like billiard: A Lyapunov exponents analysis
(2018-12-01)
The dynamics of an ensemble of non-interacting particles suffering elastic collisions inside a driven stadium-like billiard is investigated through a four-dimensional nonlinear mapping. The system presents a resonance ...
Explaining a changeover from normal to super diffusion in time-dependent billiards
(2018-03-01)
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 ...
Suppressing fermi acceleration in a driven elliptical billiard
(2010-06-01)
We study dynamical properties of an ensemble of noninteracting particles in a time-dependent elliptical-like billiard. It was recently shown that for the nondissipative dynamics, the particle experiences unlimited energy ...
Asymptotic behaviour of randomly reflecting billiards in unbounded tubular domains
(SpringerNew YorkEUA, 2008)
Chaotic-to-regular transition in a semiclassical electron gas
(American Physical SocCollege PkEUA, 1996)
Bogomolny section for the stadium .1. Quantum theory
(Iop Publishing LtdBristolInglaterra, 1997)
The canonical contact structure on the space of oriented null geodesics of pseudospheres and products
(de Gruyter, 2013-10)
Let Sk,m be the pseudosphere of signature (k,m). We show that the space ℒ0(Sk,m) of all oriented null geodesics in Sk,m is a manifold, and we describe geometrically its canonical contact distribution in terms of the space ...
Compact Billiards In Phase Space
(, 1992)
Energy gain induced by boundary crisis
(2011-09-08)
We consider a nonlinear system and show the unexpected and surprising result that, even for high dissipation, the mean energy of a particle can attain higher values than when there is no dissipation in the system. We ...
Fermi acceleration on the annular billiard
(American Physical Soc, 2006-06-01)
We study the phenomenon of unlimited energy growth for a classical particle moving in the annular billiard. The model is considered under two different geometrical situations: static and breathing boundaries. We show that ...