摘要翻译:
我们研究了一类经典随机过程(位点-粒子系统)中的真实空间凝聚现象,如零程过程和urn模型。本文研究了Ehrenfest类中的一个随机过程,即一个位点中的粒子是可分辨的。在统计力学模拟方面,Ehrenfest类服从Maxwell-Boltzmann统计。我们解析地阐明了Ehrenfest类中无序情形下凝聚现象的条件。此外,我们讨论了优先urn模型作为无序urn模型的一个例子。结果表明,在择优urn模型中,猝灭无序特性对凝聚现象的发生起着重要作用。结果表明,根据无序参数的不同,优先urn模型显示了三种类型的凝聚。
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英文标题:
《Condensation phenomena with distinguishable particles》
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作者:
Jun Ohkubo
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Disordered Systems and Neural Networks 无序系统与神经网络
分类描述:Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜;随机、非周期和准周期系统的性质;无序介质中的传输;本地化;由缺陷和无序介导的现象;神经网络
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一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
We study real-space condensation phenomena in a type of classical stochastic processes (site-particle system), such as zero-range processes and urn models. We here study a stochastic process in the Ehrenfest class, i.e., particles in a site are distinguishable. In terms of the statistical mechanical analogue, the Ehrenfest class obeys the Maxwell-Boltzmann statistics. We analytically clarify conditions for condensation phenomena in disordered cases in the Ehrenfest class. In addition, we discuss the preferential urn model as an example of the disordered urn model. It becomes clear that the quenched disorder property plays an important role in the occurrence of the condensation phenomenon in the preferential urn model. It is revealed that the preferential urn model shows three types of condensation depending on the disorder parameters.
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PDF链接:
https://arxiv.org/pdf/707.4519