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arXiv 0908.2977cond-mat.other
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高温膨胀、维里系数和排阻统计

High temperature expansion, Virial coefficients and Exclusion statistics

Saptarshi Mandal

摘要:

我们按照广义的排斥统计无穷维希尔伯特空间中设想的物理。{ \bf{72} },3629,1994.我们再现了第三维里系数在领先的顺序为单一物种的阴离子气体和第二混合维里系数的多组分阴离子气体。我们认为,这种特殊的方法可以在确定互斥统计量的定义是有用的。我们证明了这一点,通过采取高温膨胀的两个粒子配分函数的知名系统,并表明它遵循Halfton的定义的排斥统计。我们还讨论了在热力学极限下的平衡粒子分布。

英文摘要:

We follow the generalisation of exclusion statistics to infinite dimensional Hilbert space as envisaged in Phys. Rev. Lett. {\bf{72}}, 3629, 1994. We reproduce the third virial coefficients at leading order for single species of anionic gas and 2nd mixed virial coefficients for multicomponent anionic gas. We argue that this particular method can be useful in determining definition of mutual exclusion statistics. We demonstrate this by taking high temperature expansion of two particle partition function of well known systems and show that it follows Haldane's definition of exclusion statistics. We also discuss equilibrium particle distributions at thermodynamic limit.

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