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。
作者:
N. Barlow;A. Schultz;S. J. Weinstein;D. Kofke
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.