Real-space Condensation in Stochastic Mass Transport Models
Abstract
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.
Keywords
Cite
@article{arxiv.0904.4097,
title = {Real-space Condensation in Stochastic Mass Transport Models},
author = {Satya N. Majumdar},
journal= {arXiv preprint arXiv:0904.4097},
year = {2009}
}
Comments
Les Houches lecture notes for the summer school "Exact Methods in Low-dimensional Statistical Physics and Quantum Computing" (2008); 16 pages, 3 figures included