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Stochastic Field Theory for Transport Statistics in Diffusive Systems

Eugene V. Sukhorukov·Andrew N. Jordan·Sebastian Pilgram
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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.

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Eugene V. Sukhorukov, Andrew N. Jordan, Sebastian Pilgram. 2004-10-29. Stochastic Field Theory for Transport Statistics in Diffusive Systems. https://arxiv.org/abs/cond-mat/0410754

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