Now showing items 1-10 of 101
Separation of particles in time-dependent focusing billiards
(Elsevier B.V., 2010-12-01)
We consider a family of stadium-like billiards with time-dependent boundaries. Two different cases of time dependence are studied: (i) the fixed boundary approximation and (ii) the exact model which takes into account the ...
Boundary integral method for quantum billiards in a constant magnetic field
(American Physical SocCollege PkEUA, 1997)
Influence of stability islands in the recurrence of particles in a static oval billiard with holes
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) counterclockwise ...
Thermodynamics of a time-dependent and dissipative oval billiard: A heat transfer and billiard approach
We study some statistical properties for the behavior of the average squared velocity - hence the temperature - for an ensemble of classical particles moving in a billiard whose boundary is time dependent. We assume the ...
Dynamical and statistical properties of a rotating oval billiard
(Elsevier B.V., 2014-06-01)
Some dynamical and statistical properties of a time-dependent rotating oval billiard are studied. We considered cases with (i) positive and (ii) negative curvature for the boundary. For (i) we show the system does not ...
Recurrence of particles in static and time varying oval billiards
(Elsevier B.V., 2012-04-16)
Dynamical properties are studied for escaping particles, injected through a hole in an oval billiard. The dynamics is considered for both static and periodically moving boundaries. For the static boundary, two different ...
Evolution to the equilibrium in a dissipative and time dependent billiard
We study the convergence towards the equilibrium for a dissipative and stochastic time-dependent oval billiard. The dynamics of the system is described by using a generic four dimensional nonlinear map for the variables: ...
Circular, elliptic and oval billiards in a gravitational field
(Elsevier B.V., 2015-05-01)
We consider classical dynamical properties of a particle in a constant gravitational force and making specular reflections with circular, elliptic or oval boundaries. The model and collision map are described and a detailed ...
Stochastic perturbations of convex billiards
(IOP Publishing, 2015-11)
We consider a strictly convex billiard table with C 2 boundary, with the dynamics subjected to random perturbations. Each time the billiard ball hits the boundary its reflection angle has a random perturbation. The ...
On the dynamical properties of an elliptical-oval billiard with static boundary
(Elsevier B.V., 2010-04-01)
Some dynamical properties for a classical particle confined inside a closed region with an elliptical-oval-like shape are studied. The dynamics of the model is made by using a two-dimensional nonlinear mapping. The phase ...