Zero-range condensation at criticality

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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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Autores principales:	Armendáriz, I., Grosskinsky, S., Loulakis, M.
Formato:	Artículo publishedVersion
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:	http://hdl.handle.net/20.500.12110/paper_03044149_v123_n9_p3466_Armendariz https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_03044149_v123_n9_p3466_Armendariz_oai
Aporte de:	Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires

id	I28-R145-paper_03044149_v123_n9_p3466_Armendariz_oai
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spelling	I28-R145-paper_03044149_v123_n9_p3466_Armendariz_oai2024-08-16 Armendáriz, I. Grosskinsky, S. Loulakis, M. 2013 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. application/pdf http://hdl.handle.net/20.500.12110/paper_03044149_v123_n9_p3466_Armendariz info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Stoch. Processes Appl. 2013;123(9):3466-3496 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 condensation at criticality info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_03044149_v123_n9_p3466_Armendariz_oai
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-145
collection	Repositorio Digital de la Universidad de Buenos Aires (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, I. Grosskinsky, S. Loulakis, M. 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.
format	Artículo Artículo publishedVersion
author	Armendáriz, I. Grosskinsky, S. Loulakis, M.
author_facet	Armendáriz, I. Grosskinsky, S. Loulakis, M.
author_sort	Armendáriz, I.
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	http://hdl.handle.net/20.500.12110/paper_03044149_v123_n9_p3466_Armendariz https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_03044149_v123_n9_p3466_Armendariz_oai
work_keys_str_mv	AT armendarizi zerorangecondensationatcriticality AT grosskinskys zerorangecondensationatcriticality AT loulakism zerorangecondensationatcriticality
_version_	1809357002983342080

Zero-range condensation at criticality

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