Uhlenbeck-Ford model: Difference between revisions
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== Functional form == | |||
The '''Uhlenbeck-Ford model''' is given by : | The '''Uhlenbeck-Ford model''' is given by : | ||
:<math>U_{UF}(r) = - \frac{p}{\beta} \ln \left(1-e^{-(r/\sigma)^2} \right)</math> | :<math>U_{UF}(r) = - \frac{p}{\beta} \ln \left(1-e^{-(r/\sigma)^2} \right)</math> | ||
where | |||
* <math>p \geq = 0 </math> is a scaling factor | |||
* <math> \beta := (k_B T)^{-1} </math> is the well depth (energy) | |||
* <math>r := |\mathbf{r}_1 - \mathbf{r}_2|</math> is the interparticle distance. | |||
* <math> \sigma </math> is a length-scale parameter | |||
Revision as of 21:33, 11 October 2017
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Functional form
The Uhlenbeck-Ford model is given by :
where
- is a scaling factor
- is the well depth (energy)
- is the interparticle distance.
- is a length-scale parameter
References
- Related reading
- Rodolfo Paula Leite, Rodrigo Freitas, Rodolfo Azevedo and Maurice de Koning "The Uhlenbeck-Ford model: Exact virial coefficients and application as a reference system in fluid-phase free-energy calculations", Journal of Chemical Physics 145, 194101 (2016)
- Rodolfo Paula Leite, Pedro Antonio Santos-Flórez, and Maurice de Koning "Uhlenbeck-Ford model: Phase diagram and corresponding-states analysis", Physical Review E 96, 032115 (2017)