Zero-range condensation at criticality
Zero-range condensation at criticality
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DOI：
10.1016/j.spa.2013.04.021
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发表时间：
2009-12
影响因子：
1.4
通讯作者：
In'es Armend'ariz;S. Grosskinsky;M. Loulakis
中科院分区：
文献类型：
--
作者：
In'es Armend'ariz;S. Grosskinsky;M. Loulakis
零程过程的跳跃率随每个站点的粒子数而降低，可以表现出凝聚转变，当总密度超过临界值时，所有粒子的正分数凝聚在单个站点上。我们认为，作为一个幂律或拉伸指数衰减到一个非零的极限值的速率，并研究在临界密度的凝聚的发病。我们建立了一个大数定律的过剩质量分数的最大值，以及分布限制的波动的最大值和波动的散装。
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.