用specific heat和体积模量数据估算粘性液体的密度标度指数
Estimating the density scaling exponent of viscous liquids from specific heat and bulk modulus data
摘要：
最近通过计算机模拟显示，一大类液体在它们的维里和势能的热波动中表现出强相关性[Pedersen等人，物理修订信函100，015701（2008）]。在有机液体中，强相关液体的类别包括范德华液体，但不包括离子和氢键液体。本说明集中于强相关液体的密度标度，即，事实上，它们在不同密度ρ和温度T下的弛豫时间τ根据表达式τ propto F（ρ ^γ/T）坍缩成主曲线[Schroder等人，arXiv：0803.2199]。我们在这里展示了如何计算指数γ从体积模量和比热数据，无论是测量作为频率的函数在亚稳液体或外推从玻璃和液相到一个共同的温度（接近玻璃化转变温度）。因此，从对高度非线性参数变化的响应定义的指数可以从线性响应测量确定。
英文摘要：
It was recently shown by computer simulations that a large class of liquids exhibits strong correlations in their thermal fluctuations of virial and potential energy [Pedersen et al., Phys. Rev. Lett. 100, 015701 (2008)]. Among organic liquids the class of strongly correlating liquids includes van der Waals liquids, but excludes ionic and hydrogen-bonding liquids. The present note focuses on the density scaling of strongly correlating liquids, i.e., the fact their relaxation time tau at different densities rho and temperatures T collapses to a master curve according to the expression tau propto F(rho^gamma/T) [Schroder et al., arXiv:0803.2199]. We here show how to calculate the exponent gamma from bulk modulus and specific heat data, either measured as functions of frequency in the metastable liquid or extrapolated from the glass and liquid phases to a common temperature (close to the glass transition temperature). Thus an exponent defined from the response to highly nonlinear parameter changes may be determined from linear response measurements.
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