Monday, February 20, 2012

1202.3989 (Rodrigo Villavicencio-Sanchez et al.)

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

Rodrigo Villavicencio-Sanchez, Rosemary Harris, Hugo Touchette
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.
View original: http://arxiv.org/abs/1202.3989

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