From ballistic to Brownian motion through enhanced diffusion in vertex-splitting polygonal and disk-dispersing Sinai billiards.
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.
Kokshenev
Valery B
VB
Departamento de Física, Universidade Federal de Minas Gerais, ICEx, Caixa Postal 702, CEP 30123-970, Belo Horizonte, Brazil.
Vicentini
Eduardo
E