发帖
雷达卡
摘要翻译：
我讨论了霍尔丹的广义排斥统计量的概念(Phys.Rev.Lett.{\bf 67},937,1991）并且我表明它导致了使配分函数最大化的粒子分布计算中的不一致。当系统中不同亚种粒子之间表现出互斥统计时，这些不一致就出现了。为了消除这些不一致，我引入了新的互斥统计参数，这些参数与它们所作用的Hilbert子空间的维数成正比。这些新的定义导致了正确定义的粒子分布和热力学性质。在另一篇论文(ARXIV:0710.0728)中，我证明了在具有相互作用的一般系统中表现出来的分数排除统计量具有这些物理上一致的统计量参数。
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英文标题：
《The thermodynamic limit for fractional exclusion statistics》
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作者：
Drago\c{s}-Victor Anghel
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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：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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一级分类：Physics 物理学
二级分类：Mesoscale and Nanoscale Physics 介观和纳米物理
分类描述：Semiconducting nanostructures: quantum dots, wires, and wells. Single electronics, spintronics, 2d electron gases, quantum Hall effect, nanotubes, graphene, plasmonic nanostructures
半导体纳米结构：量子点、线和阱。单电子学，自旋电子学，二维电子气，量子霍尔效应，纳米管，石墨烯，等离子纳米结构
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英文摘要：
I discuss Haldane's concept of generalised exclusion statistics (Phys. Rev. Lett. {\bf 67}, 937, 1991) and I show that it leads to inconsistencies in the calculation of the particle distribution that maximizes the partition function. These inconsistencies appear when mutual exclusion statistics is manifested between different subspecies of particles in the system. In order to eliminate these inconsistencies, I introduce new mutual exclusion statistics parameters, which are proportional to the dimension of the Hilbert sub-space on which they act. These new definitions lead to properly defined particle distributions and thermodynamic properties. In another paper (arXiv:0710.0728) I show that fractional exclusion statistics manifested in general systems with interaction have these, physically consistent, statistics parameters.
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PDF链接：
https://arxiv.org/pdf/710.0724
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