Interaction driven real-space condensation

Abstract : We study real-space condensation in a broad class of stochastic mass transport models. We show that the steady state of such models has a pair-factorised form which generalizes the standard factorized steady states. The condensation in this class of models is driven by interactions which give rise to a spatially extended condensate that differs fundamentally from the previously studied examples. We present numerical results as well as a theoretical analysis of the condensation transition and show that the criterion for condensation is related to the binding-unbinding transition of solid-on-solid interfaces.
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https://hal.archives-ouvertes.fr/hal-00085510
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Submitted on : Wednesday, July 12, 2006 - 4:24:41 PM
Last modification on : Monday, November 11, 2019 - 9:30:03 AM

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M. R. Evans, T. Hanney, Satya N. Majumdar. Interaction driven real-space condensation. Physical Review Letters, American Physical Society, 2006, 97, pp.010602. ⟨hal-00085510⟩

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