Level density of a bose gas and extreme value statistics.
Level density of a bose gas and extreme value statistics.
复制标题
玻色气体的能级密度和极值统计。
DOI：
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发表时间：
2006
影响因子：
8.6
通讯作者：
S. Majumdar
中科院分区：
文献类型：
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作者：
A. Comtet;P. Leboeuf;S. Majumdar
我们建立了非相互作用玻色子气体的能级密度与极值统计理论之间的联系。根据表征单粒子谱增长的指数，我们证明了在给定的激发能量下，激发粒子数的极限分布函数服从极值统计的三个普适分布规律，即Gumbel分布、威布尔分布和弗雷歇分布。讨论了这一结果的含义，以及不同能量下能级密度的一般性质。
We establish a connection between the level density of a gas of noninteracting bosons and the theory of extreme value statistics. Depending on the exponent that characterizes the growth of the underlying single-particle spectrum, we show that at a given excitation energy the limiting distribution function for the number of excited particles follows the three universal distribution laws of extreme value statistics, namely, the Gumbel, Weibull, and Fréchet distributions. Implications of this result, as well as general properties of the level density at different energies, are discussed.