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

Anisotropy dimensions

Anisotropy dimensions is a classification scheme for patchy particles (See Figure 2 of ). The eight attributes are as follows:

Models

• Bol model of water
• Dahl and Andersen model of water
• Kern and Frenkel patchy model
• Modulated patchy Lennard-Jones model
• Smith and Nezbeda associated fluid model

See also

• Colloids
• Emulsions
• Janus particles
• Phase diagram of anisotropic particles with octahedral symmetry
• Phase diagram of anisotropic particles with tetrahedral symmetry
• Wertheim's first order thermodynamic perturbation theory (TPT1)

References

Related reading

• Amar B. Pawar and Ilona Kretzschmar "Fabrication, Assembly, and Application of Patchy Particles", Macromolecular Rapid Communications 31 pp. 150-168 (2010)