Zero-range condensation at criticality

Zero-range processes with jump rates that decrease with the number of particles per site can exhibit a condensation transition, where a positive fraction of all particles condenses on a single site when the total density exceeds a critical value. We consider rates which decay as a power law or a str...

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Detalles Bibliográficos
Autor principal:	Armendáriz, Inés
Publicado:	2013
Materias:	Condensation Conditional maximum Subexponential tails Zero-range process Condensation transition Critical density Law of large numbers Limiting values Stretched exponential Computer simulation Statistics Stochastic systems
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03044149_v123_n9_p3466_Armendariz http://hdl.handle.net/20.500.12110/paper_03044149_v123_n9_p3466_Armendariz
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_03044149_v123_n9_p3466_Armendariz
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spelling	paper:paper_03044149_v123_n9_p3466_Armendariz2025-07-30T18:07:24Z Zero-range condensation at criticality Armendáriz, Inés Condensation Conditional maximum Subexponential tails Zero-range process Condensation transition Conditional maximum Critical density Law of large numbers Limiting values Stretched exponential Subexponential tails Zero-range process Computer simulation Statistics Stochastic systems Condensation Zero-range processes with jump rates that decrease with the number of particles per site can exhibit a condensation transition, where a positive fraction of all particles condenses on a single site when the total density exceeds a critical value. We consider rates which decay as a power law or a stretched exponential to a non-zero limiting value, and study the onset of condensation at the critical density. We establish a law of large numbers for the excess mass fraction in the maximum, as well as distributional limits for the fluctuations of the maximum and the fluctuations in the bulk. © 2013 Elsevier B.V. All rights reserved. Fil:Armendáriz, I. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2013 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03044149_v123_n9_p3466_Armendariz http://hdl.handle.net/20.500.12110/paper_03044149_v123_n9_p3466_Armendariz
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Condensation Conditional maximum Subexponential tails Zero-range process Condensation transition Conditional maximum Critical density Law of large numbers Limiting values Stretched exponential Subexponential tails Zero-range process Computer simulation Statistics Stochastic systems Condensation
spellingShingle	Condensation Conditional maximum Subexponential tails Zero-range process Condensation transition Conditional maximum Critical density Law of large numbers Limiting values Stretched exponential Subexponential tails Zero-range process Computer simulation Statistics Stochastic systems Condensation Armendáriz, Inés Zero-range condensation at criticality
topic_facet	Condensation Conditional maximum Subexponential tails Zero-range process Condensation transition Conditional maximum Critical density Law of large numbers Limiting values Stretched exponential Subexponential tails Zero-range process Computer simulation Statistics Stochastic systems Condensation
description	Zero-range processes with jump rates that decrease with the number of particles per site can exhibit a condensation transition, where a positive fraction of all particles condenses on a single site when the total density exceeds a critical value. We consider rates which decay as a power law or a stretched exponential to a non-zero limiting value, and study the onset of condensation at the critical density. We establish a law of large numbers for the excess mass fraction in the maximum, as well as distributional limits for the fluctuations of the maximum and the fluctuations in the bulk. © 2013 Elsevier B.V. All rights reserved.
author	Armendáriz, Inés
author_facet	Armendáriz, Inés
author_sort	Armendáriz, Inés
title	Zero-range condensation at criticality
title_short	Zero-range condensation at criticality
title_full	Zero-range condensation at criticality
title_fullStr	Zero-range condensation at criticality
title_full_unstemmed	Zero-range condensation at criticality
title_sort	zero-range condensation at criticality
publishDate	2013
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03044149_v123_n9_p3466_Armendariz http://hdl.handle.net/20.500.12110/paper_03044149_v123_n9_p3466_Armendariz
work_keys_str_mv	AT armendarizines zerorangecondensationatcriticality
_version_	1840323023229419520

Zero-range condensation at criticality

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