Liu hard sphere equation of state: Difference between revisions
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B_n = 0.9423n^2 + 1.28846n - 1.84615, n > 3. | B_n = 0.9423n^2 + 1.28846n - 1.84615, n > 3. | ||
</math> | |||
The excess entropy is given by: | |||
: <math> | |||
S^{ex} = \frac{ S - S^{id}}{Nk_b}= \frac{ 188\eta - 126\eta^2 - 13\eta^4 - \eta^4 }{52(1-\eta)^2 - \frac{5}{13} ln(1-\eta) }. | |||
</math> | </math> | ||
Revision as of 00:09, 9 November 2020
Hongqin Liu proposed a correction to the C-S EOS which improved accuracy by almost two order of magnitude [1]:
- Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle Z={\frac {1+\eta +\eta ^{2}-{\frac {8}{13}}\eta ^{3}-\eta ^{4}+{\frac {1}{2}}\eta ^{5}}{(1-\eta )^{3}}}.}
The conjugate virial coefficient correlation is given by:
- Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle B_{n}=0.9423n^{2}+1.28846n-1.84615,n>3.}
The excess entropy is given by:
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle S^{ex} = \frac{ S - S^{id}}{Nk_b}= \frac{ 188\eta - 126\eta^2 - 13\eta^4 - \eta^4 }{52(1-\eta)^2 - \frac{5}{13} ln(1-\eta) }. }