DMRG-study of current and activity fluctuations near non-equilibrium phase transitions

Details DMRG-study of current and activity fluctuations near non-equilibrium phase transitions DMRG-study of current and activity fluctuations near non-equilibrium phase transitions

2008-11-11

arxiv.org/abs/0811.1718v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures

Scientific paper

10.1103/PhysRevE.79.020101

Cumulants of a fluctuating current can be obtained from a free energy-like generating function which for Markov processes equals the largest eigenvalue of a generalized generator. We determine this eigenvalue with the DMRG for stochastic systems. We calculate the variance of the current in the different phases, and at the phase transitions, of the totally asymmetric exclusion process. Our results can be described in the terms of a scaling ansatz that involves the dynamical exponent z. We also calculate the generating function of the activity near the absorbing state transition of the contact process. Its scaling properties can be expressed in terms of known critical exponents.

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