Theoretical and Mathematical Physics

, Volume 121, Issue 1, pp 1351–1357 | Cite as

Dynamics of a heavy particle surrounded by a finite number of light particles

  • Ya. G. Sinai


We consider a dynamic system consisting of a heavy particle of mass M and surrounding light particles moving independently with elastic reflections in the segment [0,1]. At a given total energy value independent of M, we find the dynamics of the heavy particle with respect to the slow time\(t/\sqrt M \).


Initial Velocity Slow Time Heavy Particle Elastic Collision Light Particle 
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  1. 1.
    E. Lieb,Physica A,263, 491–499 (1999).CrossRefADSMathSciNetGoogle Scholar

Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • Ya. G. Sinai
    • 1
    • 2
  1. 1.Department of MathematicsPrinceton UniversityPrincetonUSA
  2. 2.Landau Institute of Theoretical PhysicsRASMoscow OblastRussia

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