Condensation phenomena with distinguishable particles
arXiv:0707.4519 · doi:10.1103/PhysRevE.76.051108
Abstract
We study real-space condensation phenomena in a type of classical stochastic processes (site-particle system), such as zero-range processes and urn models. We here study a stochastic process in the Ehrenfest class, i.e., particles in a site are distinguishable. In terms of the statistical mechanical analogue, the Ehrenfest class obeys the Maxwell-Boltzmann statistics. We analytically clarify conditions for condensation phenomena in disordered cases in the Ehrenfest class. In addition, we discuss the preferential urn model as an example of the disordered urn model. It becomes clear that the quenched disorder property plays an important role in the occurrence of the condensation phenomenon in the preferential urn model. It is revealed that the preferential urn model shows three types of condensation depending on the disorder parameters.
7 pages, 4 figures
References in corpus (17)
- Emergence of scaling in random networks
- Topology of evolving networks: local events and universality
- Bose-Einstein condensation in complex networks
- Nonequilibrium Statistical Mechanics of the Zero-Range Process and Related Models
- Bose-Einstein Condensation In Disordered Exclusion Models and Relation to Traffic Flow
- Glassiness in a model without energy barriers
- The Nature of the Condensate in Mass Transport Models
- Canonical Analysis of Condensation in Factorised Steady State
- Condensation in the Backgammon model
- Interaction driven real-space condensation
- A simple stochastic model for the dynamics of condensation
- Urn model of separation of sand
- Phase diagram of the mean field model of simplicial gravity
- Finite size scaling of the balls in boxes model
- Analytic study of clustering in shaken granular material using zero-range processes
- The disordered Backgammon model
- Replica analysis of a preferential urn model