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Summary: J.Stat.Mech.(2009)P02057
ournal of Statistical Mechanics:
An IOP and SISSA journalJ Theory and Experiment
Stochastic approach and fluctuation
theorem for ion transport
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 3 December 2008
Accepted 13 January 2009
Published 24 February 2009
Online at stacks.iop.org/JSTAT/2009/P02057
doi:10.1088/1742-5468/2009/02/P02057
Abstract. We present a stochastic approach for ion transport at the mesoscopic
level. This description takes into account the self-consistent electric field
generated by the fixed and mobile charges as well as the discrete nature of the
latter. As an application we study the noise in the ion transport process, including
the effect of the displacement current generated by the fluctuating electric field.
The fluctuation theorem is shown to hold for the electric current with and without
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