Stochastic Field Theory for Transport Statistics in Diffusive Systems
Mesoscale and Nanoscale Physics
2007-05-23 v1
Abstract
We 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.
Cite
@article{arxiv.cond-mat/0410754,
title = {Stochastic Field Theory for Transport Statistics in Diffusive Systems},
author = {Eugene V. Sukhorukov and Andrew N. Jordan and Sebastian Pilgram},
journal= {arXiv preprint arXiv:cond-mat/0410754},
year = {2007}
}
Comments
Submitted to the proceedings of the XXXIXth Rencontres de Moriond (La Thuile, 2004) "Quantum information and decoherence in nanosystems"