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The Nature of the Condensate in Mass Transport Models

Satya N. Majumdar·M. R. Evans·R. K. P. Zia
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Abstract

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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Satya N. Majumdar, M. R. Evans, R. K. P. Zia. 2005-05-31. The Nature of the Condensate in Mass Transport Models. https://doi.org/10.1103/physrevlett.94.180601

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