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arXiv 0909.3326physics.chem-ph
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Lennard-Jones流体的精确解析第二维里系数

Exact Analytic Second Virial Coefficient for the Lennard-Jones Fluid

Byung Chan Eu

摘要:

本文给出了Lennard-Jones流体第二维里系数的一个精确解析形式,它适用于整个温度范围。它是通过变量变换而得到的,该变换产生了模仿负能量的类谐振子动力学的哈密顿量。它是以抛物柱面函数或合流超几何函数的形式给出的。对于Lennard-Jones流体,本文还导出了第二维里系数在低温和高温极限下的精确极限定律。

英文摘要:

An exact analytic form for the second virial coefficient, valid for the entire range of temperature, is presented for the Lennard-Jones fluid in this paper. It is derived by making variable transformation that gives rise to the Hamiltonian mimicking a harmonic oscillator-like dynamics for negative energy. It is given in terms of parabolic cylinder functions or confluent hypergeometric functions. Exact limiting laws for the second virial coefficient in the limits of low and high temperatuers are also deduced for the Lennard-Jones fluid.

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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