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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
Article

Abstract

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\(t/\sqrt M \).

Keywords

Initial Velocity Slow Time Heavy Particle Elastic Collision Light Particle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  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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