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Simplest piston problem. II. Inelastic collisions.

Pablo I Hurtado1, S Redner

  • 1Institute Carlos I for Theoretical and Computational Physics, Universidad de Granada, 18071 Granada, Spain. phurtado@onsager.ugr.es

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 21, 2006
PubMed
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In a three-particle system, a heavy piston moves to one end and oscillates. This dissipative behavior, observed in particle dynamics, resembles many-body inelastic piston problems.

Area of Science:

  • Physics
  • Statistical Mechanics
  • Nonlinear Dynamics

Background:

  • Studying particle dynamics in confined systems reveals complex behaviors.
  • Understanding energy dissipation is crucial in many physical systems.
  • Previous research explored many-body inelastic piston problems.

Purpose of the Study:

  • Investigate the dynamics of a three-particle system with a heavy piston.
  • Analyze symmetry breaking and limit cycle behavior.
  • Compare three-particle dynamics to many-body systems.

Main Methods:

  • Simulated a three-particle system with elastic and inelastic collisions.
  • Observed particle interactions within a finite interval.
  • Analyzed piston migration and oscillation patterns.

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Main Results:

  • Observed symmetry breaking where the piston migrates to one end.
  • Identified a dissipative limit cycle with small-amplitude oscillations.
  • Found that the system's dynamics resemble many-body inelastic piston problems.
  • Characterized limit cycle properties using an effective restitution coefficient.

Conclusions:

  • The three-particle system exhibits complex dynamics, including symmetry breaking and limit cycles.
  • Dissipative behavior can be effectively described by an effective restitution coefficient.
  • The three-particle model provides insights into more complex many-body systems.