Patchy particles

The general model for a patchy particle is given by

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 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} \ge \sigma_{\mathrm{LJ}} \end{array} \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 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:

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)