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Stochastic thermodynamics for linear kinetic equations.

C Van den Broeck1, R Toral2

  • 1Hasselt University, B-3590 Diepenbeek, Belgium.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 15, 2015
PubMed
Summary
This summary is machine-generated.

Stochastic thermodynamics is extended to time-reversal odd variables. A new detailed fluctuation theorem is derived using only forward statistics, applicable to systems with kangaroo rates.

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Area of Science:

  • Physics
  • Statistical Mechanics
  • Non-equilibrium Thermodynamics

Background:

  • Stochastic thermodynamics traditionally focuses on time-reversal even variables.
  • Understanding systems far from equilibrium is a key challenge in statistical mechanics.

Purpose of the Study:

  • To formulate stochastic thermodynamics for variables odd under time reversal.
  • To derive a detailed fluctuation theorem using only forward statistics.

Main Methods:

  • Formulation of stochastic thermodynamics for time-reversal odd variables.
  • Derivation of a detailed fluctuation theorem based on forward statistics.
  • Application to a linear kinetic equation with kangaroo rates.

Main Results:

  • The formulation successfully extends stochastic thermodynamics to time-reversal odd variables.
  • A novel detailed fluctuation theorem is presented, relying solely on forward statistics.
  • The method is demonstrated on a system with anisotropic collision rates.

Conclusions:

  • The developed framework provides a new tool for analyzing non-equilibrium systems.
  • The derived fluctuation theorem offers a simplified approach to studying thermodynamic properties.
  • This work advances the understanding of stochastic processes in physical systems.