The Nature of the Condensate in Mass Transport Models

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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Submitted on : Tuesday, May 31, 2005 - 12:34:41 PM
Last modification on : Wednesday, April 10, 2019 - 3:02:07 PM

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Satya N. Majumdar, M. R. Evans, R. K. P. Zia. The Nature of the Condensate in Mass Transport Models. Physical Review Letters, American Physical Society, 2005, 94, pp.180601. ⟨hal-00005044⟩

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