The Nature of the Condensate in Mass Transport Models

Details The Nature of the Condensate in Mass Transport Models The Nature of the Condensate in Mass Transport Models

2005-01-04

arxiv.org/abs/cond-mat/0501055v2

Phys. Rev. Lett. vol. 94, 180601 (2005)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.94.180601

We study the phenomenon of real space condensation in the steady state of a class of one dimensional mass transport models. We derive the criterion for the occurrence of a condensation transition and analyse the precise nature of the shape and the size of the condensate in the condensed phase. We find two distinct condensate regimes: one where the condensate is gaussian distributed and the particle number fluctuations scale normally as $L^{1/2}$ where $L$ is the system size, and a second regime where the particle number fluctuations become anomalously large and the condensate peak is non-gaussian. We interpret these results within the framework of sums of random variables.

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