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Fermi acceleration in time dependent billiards

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Аннотация

Billiards with time dependent boundaries are a natural generalization of the one dimensional Fermi accelerator model and simple examples of time dependent hamiltonian systems. Besides their interest from the point of view of dynamical systems, the fundamental question is if a particle moving inside a bounded region and undergoing elastic collisions with a moving boundary can be given unlimited energy. We will address this question, presenting some exact and numerical results.

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