粘性液体中扩散系数的密度标度:用等温体积模量的压力导数确定标度指数
Density scaling of the diffusivity in viscous liquids: Identification of the scaling exponent with the pressure derivative of the isothermal bulk modulus
摘要:
基于改进的状态方程,假设等温体积模量随压力线性增加,重新审视了早期导出的粘性液体的密度缩放扩散率函数[Phys. Rev. E 79,032501(2009)]。在不对标度指数和Gruneisen参数之间的相互关系作任何假设的情况下,证明了标度指数与等温体积模量的压力导数是一致的.我们进一步讨论可能的标度指数和Gruneisen参数之间的互连。
英文摘要:
A density scaled diffusivity function for viscous liquids derived earlier [Phys. Rev. E 79, 032501 (2009)] is revisited, based on an improved equation of state assuming that the isothermal bulk modulus increases linearly with pressure. Without making any assumption on the interconnection between the scaling exponent and the Gruneisen parameter, we prove that the scaling exponent is identical with the pressure derivative of the isothermal bulk modulus. We further discuss probable interconnection between the scaling exponent and the Gruneisen parameter.meter.
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