Zero-range condensation at criticality

被引：30

作者：

Armendariz, Ines ^{[1
]}

Grosskinsky, Stefan ^{[2
]}

Loulakis, Michail ^{[3
,4
]}

机构：

[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Buenos Aires, DF, Argentina

[2] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England

[3] Natl Tech Univ Athens, Sch Appl Math & Phys Sci, Athens 15780, Greece

[4] FORTH, Inst Appl & Computat Math, Iraklion, Greece

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2013年 / 123卷 / 09期

基金：

英国工程与自然科学研究理事会;

关键词：

Zero-range process; Condensation; Conditional maximum; Subexponential tails; INVARIANT-MEASURES; LIMIT-THEOREM; DEVIATIONS;

D O I：

10.1016/j.spa.2013.04.021

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：3466 / 3496

页数：31

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