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28 March 2024
 
  » arxiv » cond-mat/0410754

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Stochastic Field Theory for Transport Statistics in Diffusive Systems
Eugene V. Sukhorukov ; Andrew N. Jordan ; Sebastian Pilgram ;
Date 29 Oct 2004
Subject Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall
AbstractWe present a field theory for the statistics of charge and current fluctuations in diffusive systems. The cumulant generating function is given by the saddle-point solution for the action of this field theory. The action depends on two parameters only: the local diffusion and noise coefficients, which naturally leads to the universality of the transport statistics for a wide class of multi-dimensional diffusive models. Our theory can be applied to semi-classical mesoscopic systems, as well as beyond mesoscopic physics.
Source arXiv, cond-mat/0410754
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