Finite-size effects in dynamics of zero-range processes
Juntunen, J., Pulkkinen, O., & Merikoski, J. (2010). Finite-size effects in dynamics of zero-range processes. Physical Review E, 82, 31119. doi:10.1103/PhysRevE.82.031119
Published inPhysical Review E
© 2010 The American Physical Society. Published in this repository with the kind permission of the publisher.
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 fluidlike behavior up to a density c L, which is the finite-size counterpart of the critical density c= c L→. We determine this density from the crossover 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 the correlations in its motion are studied.