Patchy particles

The general model for a patchy particle is given by

$u_{\mathrm{p}\mathrm{a}\mathrm{t}\mathrm{c}\mathrm{h}\mathrm{y}}({\mathbf{r}}_{ij},{\mathrm{\Omega }}_i,{\mathrm{\Omega }}_j)=\{\begin{array}{ccc}{u}_{\mathrm{L}\mathrm{J}}(r_{ij})& ;& r_{ij}<{\sigma }_{\mathrm{L}\mathrm{J}}\\ u_{\mathrm{L}\mathrm{J}}(r_{ij})\exp (-\frac{\underset{k_{min},ij}{\overset{2}{\theta }}}{2{\sigma }^2})\exp (-\frac{\underset{l_{min},ji}{\overset{2}{\theta }}}{2{\sigma }^2})& ;& r_{ij}\ge {\sigma }_{\mathrm{L}\mathrm{J}}\end{array}$

where $u_{\mathrm{L}\mathrm{J}}(r_{ij})$ is the Lennard-Jones potential and

See also

• Phase diagram of anisotropic particles with octahedral symmetry
• Phase diagram of anisotropic particles with tetrahedral symmetry