Communication: Analytic continuation of the virial series through the critical point using parametric approximants.

Communication: Analytic continuation of the virial series through the critical point using parametric approximants.
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交流:使用参数逼近法通过临界点对维里级数进行分析延拓。

DOI:
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发表时间:
2015
影响因子:
4.4
通讯作者:
D. Kofke
D. Kofke
中科院分区:
化学2区
文献类型:
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作者:
N. Barlow;A. Schultz;S. J. Weinstein;D. Kofke

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热力学临界点所施加的数学结构激发了一个近似,它合成了两个理论上合理的状态方程:参数方程和维里方程。前者是用来描述临界区域的,包含了所有的标度律;后者是从分子考虑出发的关于零密度的展开。近似产生的状态方程能够准确地描述在很大一部分的热力学参数空间的属性,远远大于所涵盖的每个单独的治疗。
The mathematical structure imposed by the thermodynamic critical point motivates an approximant that synthesizes two theoretically sound equations of state: the parametric and the virial. The former is constructed to describe the critical region, incorporating all scaling laws; the latter is an expansion about zero density, developed from molecular considerations. The approximant is shown to yield an equation of state capable of accurately describing properties over a large portion of the thermodynamic parameter space, far greater than that covered by each treatment alone.