Survival probability for the stadium billiard
نویسندگان
چکیده
منابع مشابه
Stadium billiard with moving walls.
We study the evolution of the energy distribution for a stadium with moving walls. We consider a one period driving cycle, which is characterized by an amplitude A and a wall velocity V. This evolving energy distribution has both "parametric" and "stochastic" components. The latter are important for the theory of quantum irreversibility and dissipation in driven mesoscopic devices. For an extre...
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We consider the dynamical properties of one kind of cyclically ordered orbits of the stadium billiard. We prove that the stadium billiard possesses infinitely many such orbits, that they are hyperbolic, and that their stable and unstable manifolds intersect transversely. Hence the stadium billiard contains a Smale horseshoe. We construct symbolic dynamics for these orbits and consider their sen...
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In the context of the semiclassical theory of short periodic orbits, scar functions play a crucial role. These wavefunctions live in the neighbourhood of the trajectories, resembling the hyperbolic structure of the phase space in their immediate vicinity. This property makes them extremely suitable for investigating chaotic eigenfunctions. On the other hand, for all practical purposes reduction...
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We construct a well ordered symbolic dynamics plane for the stadium billiard. In this symbolic plane the forbidden and the allowed orbits are separated by a monotone pruning front, and allowed orbits can be systematically generated by sequences of approximate finite grammars. 1 ‡ Permanent address: Phys Dep., University of Oslo, Box 1048, Blindern, N-0316 Oslo
متن کاملSymbolic Dynamics and Markov Partitions for the Stadium Billiard
We investigate the Bunimovich stadium dynamics and nd that in the limit of innnitely long stadium the symbolic dynamics is a subshift of nite type. For a stadium of nite length the Markov partitions are innnite, but the inadmissible symbol sequences can be determined exactly by means of the appropriate pruning front. We outline a construction of a sequence of nite Markov graph approximations by...
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ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2009
ISSN: 0167-2789
DOI: 10.1016/j.physd.2009.09.019