Uhlenbeck-Ford model: Difference between revisions

Revision as of 20:35, 11 October 2017

The Uhlenbeck-Ford model is given by :

U_{UF}(r)=-{\frac {p}{\beta }}\ln \left(1-e^{-(r/\sigma )^{2}}\right)

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 p > 0 } is a scaling factor;
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 \beta \equiv (k_B T)^{-1} } is the well depth (energy);
Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle r\equiv |\mathbf {r} _{1}-\mathbf {r} _{2}|} is the interparticle distance;
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 \sigma } is a length-scale parameter.

@@ Line 9: / Line 9: @@
 where
-* <math>p \geq = 0 </math> is a scaling factor
+* <math>p > 0 </math> is a scaling factor;
-* <math> \beta := (k_B T)^{-1} </math> is the well depth (energy)
+* <math> \beta \equiv (k_B T)^{-1} </math> is the well depth (energy);
-* <math>r := |\mathbf{r}_1 - \mathbf{r}_2|</math> is the interparticle distance.
+* <math>r \equiv |\mathbf{r}_1 - \mathbf{r}_2|</math> is the interparticle distance;
-* <math> \sigma </math> is a length-scale parameter
+* <math> \sigma </math> is a length-scale parameter.