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Compressibility equation : ウィキペディア英語版
Compressibility equation
In statistical mechanics and thermodynamics the compressibility equation refers to an equation which relates the isothermal compressibility (and indirectly the pressure) to the structure of the liquid. It reads:

kT\left(\frac\right)=1+\rho \int_V \mathrm \mathbf () (1)

where \rho is the number density, g(r) is the radial distribution function and kT\left(\frac\right) is the isothermal compressibility.
Using the Fourier representation of the Ornstein-Zernike equation the compressibility equation (1) can be rewritten in the form:

\frac\left(\frac\right) = \frac }=\frac=1-\rho\hat(0)=1-\rho \int c(r) \mathrm \mathbf (2)

where h(r) and c(r) are the indirect and direct correlation functions respectively. The compressibility equation is one of the many integral equations in statistical mechanics.
==References==

#D.A. McQuarrie, Statistical Mechanics (Harper Collins Publishers) 1976

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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