Patchy particles: Difference between revisions
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where <math>u_{\mathrm {LJ}}(r_{ij})</math> is the [[Lennard-Jones model | Lennard-Jones potential]] and | where <math>u_{\mathrm {LJ}}(r_{ij})</math> is the [[Lennard-Jones model | Lennard-Jones potential]] and | ||
[[Image:patchy_model.png | [[Image:patchy_model.png|center]] | ||
==See also== | ==See also== | ||
*[[Phase diagram of anisotropic particles with octahedral symmetry]] | *[[Phase diagram of anisotropic particles with octahedral symmetry]] | ||
Revision as of 16:40, 9 July 2009
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The general model for a patchy particle is given by [1]
- 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
