Exact expression for the large deviations of mesoscopic currents
David Andrieux
TL;DR
This paper derives an exact formula for the moment generating function of large deviations in mesoscopic currents, providing a new analytical tool to study fluctuations in systems like disordered rings and ion transport models.
Contribution
It introduces an exact expression for the moment generating function of large deviations in mesoscopic systems, enabling precise analysis of current fluctuations.
Findings
Exact formula for current fluctuations in disordered ring
Exact formula for ion transport through membrane
New analytical tool for mesoscopic fluctuation analysis
Abstract
Large deviations quantify the occurrence of events that depart from the average behavior of a system. In this note we derive an exact expression for their moment generating function. This expression offers a new tool to investigate the behavior of mesoscopic systems. To illustrate our result, we derive the exact formulae for the current fluctuations in a disordered ring and in a model of ion transport through a membrane.
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Taxonomy
TopicsElectrical and Bioimpedance Tomography · Earthquake Detection and Analysis · Geophysical and Geoelectrical Methods