Editing Widom test-particle method
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The | 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 [[temperature]], ''N'' is the number of particles within the system and <math>\Phi</math> is the interaction potential energy between the randomly placed test particle and the ''N'' particles that the system is comprised of. | |||
where <math>k_B</math> is the [[Boltzmann constant]] and <math> | |||
==References== | ==References== | ||
#[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/10.1080/002689798169104 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]] |