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Noise activated granular dynamics.

Fabio Cecconi1, Andrea Puglisi, Umberto Marini Bettolo Marconi

  • 1Dipartimento di Fisica, Università La Sapienza and INFM Center for Statistical Mechanics and Complexity, Piazzale A. Moro 2, 00185 Rome, Italy.

Physical Review Letters
|March 14, 2003
PubMed
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At low driving, two particles in a bistable potential cluster together. At high temperatures, they spread out, with hopping governed by a granular temperature-dependent Arrhenius rate.

Area of Science:

  • Statistical mechanics
  • Non-equilibrium systems
  • Complex systems

Background:

  • Bistable potentials are fundamental in modeling diverse phenomena.
  • Particle interactions and external driving influence system dynamics.
  • Stochastic heat baths introduce randomness and energy exchange.

Purpose of the Study:

  • Investigate the collective behavior of two inelastic particles in a bistable potential.
  • Analyze the influence of driving and temperature on particle distribution.
  • Determine the mechanism of barrier hopping and particle clustering.

Main Methods:

  • Simulations of two particles in a bistable potential with inelastic collisions.
  • Modeling driven by a stochastic heat bath.
  • Analysis of particle distribution, hopping rates, and clustering dynamics.

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Main Results:

  • System exhibits clustering at low driving and spatial spreading at high temperatures.
  • Particle hopping over the potential barrier follows an Arrhenius-like rate.
  • Granular temperature replaces heat bath temperature in the Arrhenius rate.
  • Two distinct clustering scenarios observed: single-particle or simultaneous two-particle hopping, depending on inelasticity.

Conclusions:

  • The granular temperature dictates barrier crossing in this driven system.
  • Particle-particle interactions significantly alter dynamics within the clustered state.
  • The study reveals distinct dynamical regimes based on inelasticity and temperature.