Editing Reference hyper-netted chain
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Note: the reference-HNC (RHNC) is sometimes referred to as the modified-HNC (MHNC) Ref.1 | |||
Rosenfeld and Ashcroft (1979) (Ref. 1) proposed the `anzatz of universality': | Rosenfeld and Ashcroft (1979) (Ref. 1) proposed the `anzatz of universality': | ||
"...the bridge functions.. ..constitute the same family of curves, irrespective of the assumed pair potential" | "...the bridge functions.. ..constitute the same family of curves, irrespective of the assumed pair potential" | ||
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These are the conditions that will determine the optimum values of <math>\sigma</math> and <math>\epsilon</math> | These are the conditions that will determine the optimum values of <math>\sigma</math> and <math>\epsilon</math> | ||
that minimise the free energy. | that minimise the free energy. | ||
The RHNC satisfies the 'Hiroike' termodynamic relation test Ref. 7 and | The RHNC satisfies the 'Hiroike' termodynamic relation test Ref. 7 and 8, i.e. | ||
:<math>\left.\frac{\partial U}{\partial V}\right\vert_{T} = T \left.\frac{\partial p}{\partial T}\right\vert_{V} -p</math> | :<math>\left.\frac{\partial U}{\partial V}\right\vert_{T} = T \left.\frac{\partial p}{\partial T}\right\vert_{V} -p</math> | ||
For highly asymmetric mixtures see Ref. | For highly asymmetric mixtures see Ref. 8. | ||
==References== | ==References== |