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Physical insight into superdiffusive dynamics of Sinai billiard through collision statistics

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  • Kokshenev, Valery B.
  • Vicentini, Eduardo

Abstract

We report on distinct steady-motion dynamic regimes in chaotic Sinai billiard (SB). A numerical study on elastic reflections from the SB boundary (square wall of length L and circle obstacle of radius R) is carried out for different R/L. The research is based on the exploration of the generalized diffusion equation and on the analysis of wall-collision and the circle-collision distributions observed at late times. The asymptotes for the diffusion coefficientDR and the corresponding diffusion exponentzR are established for all geometries. The universal (R-independent) diffusion with D1∽t1/3 and z1=1.5 replaces the ballistic motion regime (z0=1) attributed to square billiard (R=0). Geometrically, this superdiffusive regime is bounded by small radii 0

Suggested Citation

  • Kokshenev, Valery B. & Vicentini, Eduardo, 2006. "Physical insight into superdiffusive dynamics of Sinai billiard through collision statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(2), pages 197-214.
    • Handle: RePEc:eee:phsmap:v:360:y:2006:i:2:p:197-214
    DOI: 10.1016/j.physa.2005.06.093
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    References listed on IDEAS

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    1. Vicentini, E & Kokshenev, V.B, 2001. "On survival dynamics of classical systems. Non-chaotic open billiards," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(3), pages 391-408.
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