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Brownian particle having a fluctuating mass.

M Ausloos1, R Lambiotte

  • 1SUPRATECS, B5 Sart-Tilman, B-4000 Liège, Belgium.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 21, 2006
PubMed
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We studied a Brownian particle with fluctuating mass, finding its dynamics mirror those in a fluctuating medium. Mass velocity distributions align with Tsallis distributions when masses follow a chi-squared distribution.

Area of Science:

  • Statistical Mechanics
  • Non-equilibrium Physics

Background:

  • Brownian motion is fundamental in statistical mechanics.
  • Fluctuating parameters introduce complex dynamics.
  • Previous work studied Brownian particles in fluctuating media.

Purpose of the Study:

  • Investigate the dynamics of a Brownian particle with fluctuating mass.
  • Compare theoretical predictions with numerical simulations.
  • Analyze velocity and diffusion properties.

Main Methods:

  • Numerical simulations of the Langevin equation.
  • Analysis of the adiabatic limit for mass fluctuations.
  • Comparison with Tsallis distributions and Bernoulli random walks.

Main Results:

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  • Behavior is analogous to Brownian particles in fluctuating media.
  • Excellent agreement between simulated velocity distributions and truncated Tsallis distributions for chi-squared distributed masses.
  • Observed interesting time-dependent behaviors in position distribution kurtosis during diffusion.

Conclusions:

  • Mass fluctuation in Brownian particles can be approximated by models of fluctuating media.
  • Tsallis statistics accurately describe velocity distributions under specific mass distributions.
  • The model provides insights into agglomeration-fracture nonequilibrium processes.