Limit shapes for Gibbs ensembles of partitions

Ibrahim Fatkullin; Valeriy Slastikov

Limit shapes for Gibbs ensembles of partitions

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We explicitly compute limit shapes for several grand canonical Gibbs ensembles of partitions of integers. These ensembles appear in models of aggregation and are also related to invariant measures of zero range and coagulation-fragmentation processes. We show, that all possible limit shapes for these ensembles fall into several distinct classes determined by the asymptotics of the internal energies of aggregates.

MSC Codes 82B27, 82B41, 60F99

Original language	English (US)
Journal	Unknown Journal
State	Published - Jan 2 2018

ASJC Scopus subject areas

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title = "Limit shapes for Gibbs ensembles of partitions",

abstract = "We explicitly compute limit shapes for several grand canonical Gibbs ensembles of partitions of integers. These ensembles appear in models of aggregation and are also related to invariant measures of zero range and coagulation-fragmentation processes. We show, that all possible limit shapes for these ensembles fall into several distinct classes determined by the asymptotics of the internal energies of aggregates.MSC Codes 82B27, 82B41, 60F99",

author = "Ibrahim Fatkullin and Valeriy Slastikov",

year = "2018",

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language = "English (US)",

journal = "Nuclear Physics A",

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AU - Slastikov, Valeriy

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N2 - We explicitly compute limit shapes for several grand canonical Gibbs ensembles of partitions of integers. These ensembles appear in models of aggregation and are also related to invariant measures of zero range and coagulation-fragmentation processes. We show, that all possible limit shapes for these ensembles fall into several distinct classes determined by the asymptotics of the internal energies of aggregates.MSC Codes 82B27, 82B41, 60F99

AB - We explicitly compute limit shapes for several grand canonical Gibbs ensembles of partitions of integers. These ensembles appear in models of aggregation and are also related to invariant measures of zero range and coagulation-fragmentation processes. We show, that all possible limit shapes for these ensembles fall into several distinct classes determined by the asymptotics of the internal energies of aggregates.MSC Codes 82B27, 82B41, 60F99

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JO - Nuclear Physics A

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