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Current fluctuations in nonequilibrium diffusive systems: an additivity principle.

T Bodineau1, B Derrida

  • 1Laboratoire de Probabilités et Modèles Aléatoires, CNRS-UMR 7599, Universités Paris VI & VII, 4 place Jussieu, Case 188, F-75252 Paris Cedex 05, France. bodineau@math.jussieu.fr

Physical Review Letters
|June 1, 2004
PubMed
Summary

A new additivity principle simplifies calculating current fluctuations in large 1D systems. This method, based on the first two cumulants, reveals non-Gaussian distributions satisfying Gallavotti-Cohen symmetry.

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Area of Science:

  • Statistical Mechanics
  • Non-equilibrium Physics
  • Complex Systems

Background:

  • Understanding current fluctuations is crucial in non-equilibrium systems.
  • Previous models often assumed Gaussian distributions or specific system types.

Purpose of the Study:

  • To develop a general principle for calculating current fluctuation distributions.
  • To extend known results for specific models like the symmetric simple exclusion process.

Main Methods:

  • Formulation of a simple additivity principle.
  • Utilizing the first two cumulants of the system's current.
  • Analysis of one-dimensional systems connected to reservoirs with unequal densities.

Main Results:

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  • A method to calculate the entire current fluctuation distribution.
  • Demonstration that the distribution is generally non-Gaussian.
  • Verification of Gallavotti-Cohen symmetry for the derived distribution.

    • Conclusions:

    • The additivity principle offers a powerful tool for analyzing complex diffusive networks.
    • This principle generalizes findings for the symmetric simple exclusion process.
    • Applicable to systems with loops and other complex network structures.