Widom test-particle method: Difference between revisions

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(New page: The excess chemical potential is given by :<math>\mu^{ex} = -k_BT \ln \langle e^{-\Phi/k_bT}\rangle_N</math> where <math>k_B</math> is the Boltzmann constant, ''T'' is the [[temp...)
 
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#[http://dx.doi.org/10.1063/1.1734110 B. Widom "Some Topics in the Theory of Fluids", Journal of Chemical Physics '''39''' pp. 2808-2812 (1963)]
#[http://dx.doi.org/10.1063/1.1734110 B. Widom "Some Topics in the Theory of Fluids", Journal of Chemical Physics '''39''' pp. 2808-2812 (1963)]
#[http://dx.doi.org/10.1021/j100395a005  B. Widom "Potential-distribution theory and the statistical mechanics of fluids", Journal of Physical Chemistry '''86''' pp.  869 - 872 (1982)]
#[http://dx.doi.org/10.1021/j100395a005  B. Widom "Potential-distribution theory and the statistical mechanics of fluids", Journal of Physical Chemistry '''86''' pp.  869 - 872 (1982)]
#[http://dx.doi.org/10.1080/002689798169104 David S. corti "Alternative derivation of Widom's test particle insertion method using the small system grand canonical ensemble", Molecular Physics '''93''' pp. 417-420 (1998)]
#[http://dx.doi.org/10.1080/002689798169104 David S. Corti "Alternative derivation of Widom's test particle insertion method using the small system grand canonical ensemble", Molecular Physics '''93''' pp. 417-420 (1998)]
[[category: computer simulation techniques]]
[[category: computer simulation techniques]]

Revision as of 19:01, 22 September 2007

The excess chemical potential 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 \mu^{ex} = -k_BT \ln \langle e^{-\Phi/k_bT}\rangle_N}

where 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 k_B} is the Boltzmann constant, T is the temperature, N is the number of particles within the system and is the intermolecular pair potential.

References

  1. B. Widom "Some Topics in the Theory of Fluids", Journal of Chemical Physics 39 pp. 2808-2812 (1963)
  2. B. Widom "Potential-distribution theory and the statistical mechanics of fluids", Journal of Physical Chemistry 86 pp. 869 - 872 (1982)
  3. David S. Corti "Alternative derivation of Widom's test particle insertion method using the small system grand canonical ensemble", Molecular Physics 93 pp. 417-420 (1998)