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Stochastic Field Theory for Transport Statistics in Diffusive Systems

2004/10/29 by Eugene V. Sukhorukov, Andrew N. Jordan, Sukhorukov, Eugene V. +4
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Surface and Thin Film Phenomena #Theoretical and Computational Physics #cond-mat.mes-hall

paper · pdf · doi:10.48550/arxiv.cond-mat/0410754

Submitted to the proceedings of the XXXIXth Rencontres de Moriond (La Thuile, 2004) "Quantum information and decoherence in nanosystems"

arxiv created 2004/10/29 · openalex publication_date 2004/10/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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