Information theory explanation of the fluctuation theorem, maximum entropy production and self-organized criticality in non-equilibrium stationary states

  title={Information theory explanation of the fluctuation theorem, maximum entropy production and self-organized criticality in non-equilibrium stationary states},
  author={Roderick C. Dewar},
  journal={Journal of Physics A},
  • R. Dewar
  • Published 23 May 2000
  • Physics
  • Journal of Physics A
Jaynes' information theory formalism of statistical mechanics is applied to the stationary states of open, non-equilibrium systems. First, it is shown that the probability distribution pΓ of the underlying microscopic phase space trajectories Γ over a time interval of length τ satisfies pΓ ∝ exp(τσΓ/2kB) where σΓ is the time-averaged rate of entropy production of Γ. Three consequences of this result are then derived: (1) the fluctuation theorem, which describes the exponentially declining… 
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