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From ballistic to Brownian motion through enhanced diffusion in vertex-splitting polygonal and disk-dispersing Sinai
Valery B Kokshenev1, Eduardo Vicentini
1Departamento de Física, Universidade Federal de Minas Gerais, ICEx, Caixa Postal 702, CEP 30123-970, Belo Horizonte, Brazil.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 22, 2002
Abstract:
Boundary-collision orbit statistics in vertex-splitting rational polygonal and disk-scattering billiards is studied using deterministic and stochastic schemes. On increasing the number of vertices in pseudointegrable polygons, the diffusion exponent, deduced from the mean-square orbit displacement, exhibits a crossover from a ballistic to a superdiffusive regime, characteristic of chaotic Sinai billiards.