Patchy particles

The general model for a patchy particle is given by

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle u_{\mathrm {patchy} }({\mathbf {r} }_{ij},{\mathbf {\Omega } }_{i},{\mathbf {\Omega } }_{j})=\left\{{\begin{array}{lll}u_{\mathrm {LJ} }(r_{ij})&;&r_{ij}<\sigma _{\mathrm {LJ} }\\u_{\mathrm {LJ} }(r_{ij})\exp \left(-{\frac {\theta _{k_{min},ij}^{2}}{2\sigma ^{2}}}\right)\exp \left(-{\frac {\theta _{l_{min},ji}^{2}}{2\sigma ^{2}}}\right)&;&r_{ij}\geq \sigma _{\mathrm {LJ} }\end{array}}\right.}

where Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle u_{\mathrm {LJ} }(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:

See also

• Colloids
• Emulsions
• Janus particles
• Kern and Frenkel patchy model
• Phase diagram of anisotropic particles with octahedral symmetry
• Phase diagram of anisotropic particles with tetrahedral symmetry
• PMW model of water
• 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)