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Journal of Statistical Physics, Vol. 127, No. 1, April 2007 ( C 2007 ) DOI: 10.1007/s10955-006-9233-5
 

Summary: Journal of Statistical Physics, Vol. 127, No. 1, April 2007 ( C 2007 )
DOI: 10.1007/s10955-006-9233-5
Fluctuation Theorem for Currents and Schnakenberg
Network Theory
David Andrieux1 and Pierre Gaspard1
Received November 4, 2005; accepted October 9, 2006
Published Online: February 23, 2007
A fluctuation theorem is proved for the macroscopic currents of a system in a nonequilib-
rium steady state, by using Schnakenberg network theory. The theorem can be applied,
in particular, in reaction systems where the affinities or thermodynamic forces are de-
fined globally in terms of the cycles of the graph associated with the stochastic process
describing the time evolution.
KEY WORDS: nonequilibrium steady state, entropy production, affinities, thermody-
namic forces, fluctuation theorem
1. INTRODUCTION
Out-of-equilibrium systems are ubiquitous in Nature and they play an essential role
in many physical, chemical and biological phenomena.(1­12)
In an isolated system,
a nonequilibrium state will spontaneously relax toward the state of thermodynamic
equilibrium. However, a nonequilibrium steady state can be maintained in open

  

Source: Andrieux, David - Service de Physique Non-Linéaire and Mécanique Statistique, Université Libre de Bruxelles

 

Collections: Physics; Biology and Medicine