0 yields(P/K)_∞= 1/K'_∞, an algebraic identity found by Stacey. Here P is the pressure, K the bulk modulus,K' = dK/dP,'/> Extreme compression behaviour of equations of state
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Extreme compression behaviour of equations of state

机译:状态方程的极端压缩行为

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The extreme compression (P→∞) behaviour of various equations of state with K'_∞> 0 yields(P/K)_∞= 1/K'_∞, an algebraic identity found by Stacey. Here P is the pressure, K the bulk modulus,K' = dK/dP, and K'_∞, the value of K' at P→∞.We use this result to demonstrate further that there existsan algebraic identity also between the higher pressure derivatives of bulk modulus which is satisfied atextreme compression by different types of equations of state such as the Birch-Murnaghan equation,Poirier-Tarantola logarithmic equation, generalized Rydberg equation, Keane's equation and the Staceyreciprocal K-primed equation. The identity has been used to find a relationship between λ_∞, the third-order Gruneisen parameter atco, and pressure derivatives of bulk modulus with the help of the free-volume formulation without assuming any specific form of equation of state.
机译:K'_∞> 0的各种状态方程的极端压缩(P→∞)行为产生(P / K)_∞= 1 /K'_∞,这是Stacey发现的代数恒等式。这里P是压力,K是体积模量,K'= dK / dP,K'_∞是P→∞时K'的值。我们用这个结果进一步证明在较高的位置之间也存在代数恒等式体积模量的压力导数,可以通过不同类型的状态方程(例如Birch-Murnaghan方程,Poirier-Tarantola对数方程,广义Rydberg方程,Keane方程和Staceyreciprocal K-primed方程)进行文本压缩来满足压缩要求。在没有假定状态方程的任何特定形式的情况下,借助于自由体积公式,该恒等式已用于查找λ_∞,三阶Gruneisen参数atco和体积模量的压力导数之间的关系。

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