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The Nature of the Condensate in Mass Transport Models | | Satya N. Majumdar
; M.R. Evans
; R.K.P. Zia
; | | Date: |
4 Dec 2004 | | Journal: | Phys. Rev. Lett. vol. 94, 180601 (2005) | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | 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. | | Source: | arXiv, cond-mat/0501055 | | Services: | Forum | Review | PDF | Favorites | |
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