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Mass condensation on networks

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Original languageEnglish
Title of host publicationXI LATIN AMERICAN WORKSHOP ON NONLINEAR PHENOMENA
EditorsC Anteneodo, MGE DaLuz
Place of PublicationBRISTOL
PublisherIOP Publishing Ltd.
Number of pages11
DOIs
Publication statusPublished - 2010
Event11th Latin American Workshop on Nonlinear Phenomena (LAWNP) - Buzios-RJ, Brazil
Duration: 5 Oct 20099 Oct 2009

Publication series

NameJournal of Physics Conference Series
PublisherIOP PUBLISHING LTD
Volume246
ISSN (Print)1742-6588

Conference

Conference11th Latin American Workshop on Nonlinear Phenomena (LAWNP)
CountryBrazil
Period5/10/099/10/09

Abstract

We construct classical stochastic mass transport processes for stationary states which are chosen to factorize over pairs of sites of an undirected, connected, but otherwise arbitrary graph. For the special topology of a ring we derive static properties such as the critical point of the transition between the liquid and the condensed phase, the shape of the condensate and its scaling with the system size. It turns out that the shape is not universal, but determined by the interplay of local and ultralocal interactions. In two dimensions the effect of anisotropic interactions of hopping rates can be treated analytically, since the partition function allows a dimensional reduction to an effective one-dimensional zero-range process. Here we predict the onset, shape and scaling of the condensate on a square lattice. We indicate further extensions in the outlook.(1)

    Research areas

  • FORCE FLUCTUATIONS, PHASE-TRANSITIONS, BEAD PACKS, MODELS, AGGREGATION, SYSTEMS

Event

11th Latin American Workshop on Nonlinear Phenomena (LAWNP)

5/10/099/10/09

Brazil

Event: Conference

ID: 21648888