Time-Dependent Billiards

被引：2
作者：
Loskutov, Alexander [1 ,2 ]
Leonel, Edson D. [1 ]
机构：
[1] Univ Estadual Paulista, Dept Estat Matemat Aplicada & Computacao, BR-13506700 Rio Claro, SP, Brazil
[2] Moscow MV Lomonosov State Univ, Fac Phys, Moscow 119992, Russia
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2009年 / 2009卷
关键词：
FERMI ACCELERATION; DISPERSING BILLIARDS; SYSTEMS;
D O I：
10.1155/2009/848619
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Dynamical systems of a billiard type are a fundamental notion relevant for the understanding of numerous phenomena observed in statistical mechanics, Hamiltonian dynamics, nonlinear physics, and others. Billiards with time-dependent boundaries represent a natural generalization of mathematical billiards and more adequately reflects the observed physical phenomena. A billiard dynamical system is generated by the free motion of a point mass particle in some region with a piecewise-smooth boundary and the condition of the elastic collision from this boundary. If the boundary in the collision point is smooth, then the billiard ball reflects from it in such a way that the velocity tangent component remains constant, and the normal component changes its sign.
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页数：4
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