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J.Stat.Mech.(2006)P01011 ournal of Statistical Mechanics

Summary: J.Stat.Mech.(2006)P01011
ournal of Statistical Mechanics:
An IOP and SISSA journalJ Theory and Experiment
Fluctuation theorem for transport in
mesoscopic systems
David Andrieux and Pierre Gaspard
Center for Nonlinear Phenomena and Complex Systems, Universit´e Libre de
Bruxelles, Code Postal 231, Campus Plaine, B-1050 Brussels, Belgium
E-mail: dandrieu@ulb.ac.be and gaspard@ulb.ac.be
Received 15 November 2005
Accepted 2 January 2006
Published 20 January 2006
Online at stacks.iop.org/JSTAT/2006/P01011
Abstract. The fluctuation theorem for currents is applied to several mesoscopic
systems on the basis of Schnakenberg's network theory, which allows one to verify
its conditions of validity. A graph is associated with the master equation ruling
the random process and its cycles can be used to obtain the thermodynamic
forces or affinities corresponding to the nonequilibrium constraints. This
provides a method of defining the independent currents crossing the system in


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


Collections: Physics; Biology and Medicine