Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-07-08
Phys. Rev. E72, 046129 (2005)
Physics
Condensed Matter
Statistical Mechanics
12 pages, 9 figures
Scientific paper
10.1103/PhysRevE.72.046129
We consider the one-dimensional partially asymmetric zero range process where the hopping rates as well as the easy direction of hopping are random variables. For this type of disorder there is a condensation phenomena in the thermodynamic limit: the particles typically occupy one single site and the fraction of particles outside the condensate is vanishing. We use extreme value statistics and an asymptotically exact strong disorder renormalization group method to explore the properties of the steady state. In a finite system of $L$ sites the current vanishes as $J \sim L^{-z}$, where the dynamical exponent, $z$, is exactly calculated. For $0
Igloi Ferenc
Juhasz Róbert
Santen Ludger
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