Phase Transition in a Conserved-Mass Model of Aggregation and Dissociation

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dc.creatorKrishnamurthy, Supriya
dc.creatorMajumdar, Satya N.
dc.creatorBarma, Mustansir
dc.date1997-09-10
dc.date.accessioned2026-07-07T09:12:09Z
dc.date.available2026-07-07T09:12:09Z
dc.descriptionWe introduce a new model of aggregation of particles where in addition to diffusion and aggregation upon contact, a single unit of mass can dissociate from a conglomerate. This dissociation move conserves the total mass and leads to a striking behaviour in the steady state. As the parameters are varied, the system undergoes a dynamical phase transition in all dimensions. In one phase the mass distribution decays exponentially for large mass whereas in the other phase there is a power law distribution of masses which coexists with an infinite mass aggregate. The model is investigated analytically within mean field theory, and numerically in one dimension.
dc.description4 pages, Revtex, 3 Postscript figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9709117
dc.identifierhttp://arxiv.org/abs/cond-mat/9709117
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/151925
dc.subjectStatistical Mechanics
dc.titlePhase Transition in a Conserved-Mass Model of Aggregation and Dissociation
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