Current fluctuations for totally asymmetric exclusion on the relaxation scale

2014/10/31 by Sylvain Prolhac · 1 citation
Mathematics · Physics and Astronomy · #cond-mat.stat-mech #math-ph #math.MP

paper · pdf · doi:10.1088/1751-8113/48/6/06ft02

published as J. Phys. A: Math. Theor. 48 (2015) 06FT02 · 9 pages, 2 figures

arxiv created 2015/01/21 · arxiv updated 2015/01/22

Abstract

The fluctuations of the current for the one-dimensional totally asymmetric exclusion process with L sites are studied in the relaxation regime of times T∼ L^3/2. Using Bethe ansatz for the periodic system with an evolution conditioned on special initial and final states, the Fourier transform of the probability distribution of the fluctuations is calculated exactly in the thermodynamic limit L→∞ with finite density of particles. It is found to be equal to a sum over discrete realizations of a scalar field in a linear potential with coupling constant equal to the rescaled time T/L^3/2.

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