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arXiv 0811.1719cond-mat.stat-mechhep-thmath-phmath.MP
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理想气体浓度的相空间测量

Phase space measure concentration for an ideal gas

Anthony J. Creaco, Nikos Kalogeropoulos

摘要:

指出了理想气体的一种特殊情况,即在热力学极限下,其相空间是一个围绕其赤道的球体。确定接近热力学极限的速率。我们的论证依赖于Lévy和Gromov的球面等周不等式。

英文摘要:

We point out that a special case of an ideal gas exhibits concentration of the volume of its phase space, which is a sphere, around its equator in the thermodynamic limit. The rate of approach to the thermodynamic limit is determined. Our argument relies on the spherical isoperimetric inequality of Lévy and Gromov.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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