与密度有关的零范围过程中的凝结

IF 0.3 Q4 MATHEMATICS, APPLIED

Journal of the Korean Society for Industrial and Applied Mathematics Pub Date : 2013-12-25 DOI:10.12941/JKSIAM.2013.17.267

Intae Jeon

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引用次数: 0

摘要

我们考虑零距离过程，其密度依赖跳跃率g由g = g(n, k) = g1(n)g2(k/n)给出，g1(x) = x ?α，在这种情况下，当1/2 0时，我们表明非完全凝聚发生在最大簇大小和。更确切地说，对于任何_ > 0，存在M*> 0，使得对于任何0 > 1，支持凝聚跃迁的不稳定性。

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CONDENSATION IN DENSITY DEPENDENT ZERO RANGE PROCESSES

We consider zero range processes with density dependent jump rates g given by g = g(n, k) = g1(n)g2(k/n) with g1(x) = x ?α and In this case, with 1/2 0, we show that non-complete condensation occurs with maximum cluster size an. More precisely, for any _ > 0, there exists M*> 0 such that, for any 0 > 1) and supports the instability of the condensation transition.

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来源期刊

Journal of the Korean Society for Industrial and Applied Mathematics MATHEMATICS, APPLIED-

自引率

33.30%

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