Real-space Condensation in Stochastic Mass Transport Models

Details Real-space Condensation in Stochastic Mass Transport Models Real-space Condensation in Stochastic Mass Transport Models

2009-04-27

arxiv.org/abs/0904.4097v1

Physics

Condensed Matter

Statistical Mechanics

Les Houches lecture notes for the summer school "Exact Methods in Low-dimensional Statistical Physics and Quantum Computing" (

Scientific paper

The phenomenon of real-space condensation is encountered in a variety of situations such as aggregation and fragmentation processes, granular clustering, phase separation, traffic and networks. Unlike traditional Bose-Einstein condensation in the momentum space, a condensate in these systems forms in real space, e.g., upon increasing the density beyond a critical value a macroscopically large mass/cluster may form at a single site on a lattice. In this brief review, I discuss some recent developments in understanding the physical and mathematical mechanism behind this real-space condensation in a class of simple stochastic mass transport models.

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