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Survival-time distribution for inelastic collapse.

M R Swift1, A J Bray

  • 1Department of Theoretical Physics, University of Manchester, Manchester M13 9PL, United Kingdom.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|April 24, 2002
PubMed
Summary
This summary is machine-generated.

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This study investigates inelastic collapse in randomly forced particles. The collapse-time distribution follows a power law, with a nonuniversal exponent, suggesting a generalized persistence phenomenon.

Area of Science:

  • Physics
  • Statistical Mechanics
  • Dynamical Systems

Background:

  • A previous study suggested that randomly forced particles undergoing inelastic collisions with a boundary can experience inelastic collapse, ceasing motion in finite time.
  • The phenomenon of inelastic collapse is relevant to various physical systems where energy is lost during particle-boundary interactions.

Purpose of the Study:

  • To analyze the survival probability of the inelastic collapse transition.
  • To characterize the statistical behavior of the time it takes for inelastic collapse to occur.

Main Methods:

  • Investigating the survival probability of the inelastic collapse transition.
  • Analyzing the asymptotic behavior of the collapse-time distribution.
  • Performing approximate calculations for the collapse-time exponent.

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Main Results:

  • The collapse-time distribution exhibits asymptotic power-law behavior.
  • The exponent governing the power-law decay of the collapse-time distribution is found to be nonuniversal.
  • Approximate calculations confirm the power-law behavior and the nonuniversal nature of the exponent.

Conclusions:

  • Inelastic collapse can be understood as a generalized persistence phenomenon.
  • The nonuniversal exponent highlights the system-specific nature of the collapse dynamics.
  • The power-law decay provides insights into the statistical likelihood of collapse over time.