Finite-size effects in dynamics of zero-range processes

Details Finite-size effects in dynamics of zero-range processes Finite-size effects in dynamics of zero-range processes

2010-09-20

arxiv.org/abs/1009.3747v1

Phys. Rev. E 82 031119, (2010)

Physics

Condensed Matter

Statistical Mechanics

http://pre.aps.org/abstract/PRE/v82/i3/e031119

Scientific paper

10.1103/PhysRevE.82.031119

The finite-size effects prominent in zero-range processes exhibiting a condensation transition are studied by using continuous-time Monte Carlo simulations. We observe that, well above the thermodynamic critical point, both static and dynamic properties display fluid-like behavior up to a density {\rho}c (L), which is the finite-size counterpart of the critical density {\rho}c = {\rho}c (L \rightarrow \infty). We determine this density from the cross-over behavior of the average size of the largest cluster. We then show that several dynamical characteristics undergo a qualitative change at this density. In particular, the size distribution of the largest cluster at the moment of relocation, the persistence properties of the largest cluster and correlations in its motion are studied.

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