Condensation in Zero-Range Processes with a Fast Rate

IF 1.3 3区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
Watthanan Jatuviriyapornchai, Stefan Grosskinsky
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引用次数: 0

Abstract

We introduce a simple zero-range process with constant rates and one fast rate for a particular occupation number, which diverges with the system size. Surprisingly, this minor modification induces a condensation transition in the thermodynamic limit, where the structure of the condensed phase depends on the scaling of the fast rate. We study this transition and its dependence on system parameters in detail on a rigorous level using size-biased sampling. This approach generalizes to any particle system with stationary product measures, and the techniques used in this paper provide a foundation for a more systematic understanding of condensing models with a non-trivial condensed phase.

零范围过程中的快速凝结
我们引入了一个简单的零范围过程,该过程具有恒定速率和一个特定占据数的快速速率,该速率随系统大小而发散。令人惊奇的是,这一微小的修改在热力学极限中引起了凝聚转变,凝聚相的结构取决于快速率的缩放。我们利用尺寸偏置采样,在严格的层面上详细研究了这种转变及其对系统参数的依赖性。这种方法可以推广到任何具有静态积度量的粒子系统,本文使用的技术为更系统地理解具有非三维凝聚相的凝聚模型奠定了基础。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Journal of Statistical Physics
Journal of Statistical Physics 物理-物理:数学物理
CiteScore
3.10
自引率
12.50%
发文量
152
审稿时长
3-6 weeks
期刊介绍: The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.
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