Nature of the condensate in mass transport models |
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Authors: | Majumdar Satya N Evans M R Zia R K P |
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Institution: | Laboratoire de Physique Théorique et Modèles Statistiques, Université Paris-Sud, Bat. 100, 91405 Orsay Cedex, France. |
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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 analyze 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 the 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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