Current loops and fluctuations in the zero-range process on a diamond lattice

Details Current loops and fluctuations in the zero-range process on a diamond lattice Current loops and fluctuations in the zero-range process on a diamond lattice

2012-02-17

arxiv.org/abs/1202.3989v1

Physics

Condensed Matter

Statistical Mechanics

15 pages, 6 figures

Scientific paper

We study the zero-range process on a simple diamond lattice with open boundary conditions and determine the conditions for the existence of loops in the mean current. We also perform a large deviation analysis for fluctuations of partial and total currents and check the validity of the Gallavotti-Cohen fluctuation relation for these quantities. In this context, we show that the fluctuation relation is not satisfied for partial currents between sites even if it is satisfied for the total current flowing between the boundaries.

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