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arXiv · 1511.08373

Weak additivity principle for current statistics in d-dimensions

Carlos Pérez-Espigares·Pedro L. Garrido·Pablo I. Hurtado
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Abstract

The additivity principle (AP) allows to compute the current distribution in many one-dimensional (1d) nonequilibrium systems. Here we extend this conjecture to general d-dimensional driven diffusive systems, and validate its predictions against both numerical simulations of rare events and microscopic exact calculations of three paradigmatic models of diffusive transport in d=2. Crucially, the existence of a structured current vector field at the fluctuating level, coupled to the local mobility, turns out to be essential to understand current statistics in d>1. We prove that, when compared to the straightforward extension of the AP to high-d, the so-called weak AP always yields a better minimizer of the macroscopic fluctuation theory action for current statistics.

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Carlos Pérez-Espigares, Pedro L. Garrido, Pablo I. Hurtado. 2016-05-11. Weak additivity principle for current statistics in d-dimensions. https://doi.org/10.1103/physreve.93.040103

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