Kern and Frenkel patchy model: Difference between revisions

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If the two parameters <math>\delta</math> and <math>\lambda</math> fullfil the condition
If the two parameters <math>\delta</math> and <math>\lambda</math> fullfil the condition


<math>
:<math>
\sin{\delta} \leq \dfrac{1}{2(1+\lambda\sigma)}
\sin{\delta} \leq \dfrac{1}{2(1+\lambda\sigma)}
</math>
</math>


then the patch can not be involved in more than one bond.
then the patch cannot be involved in more than one bond.


==References==
==References==

Revision as of 12:34, 11 December 2012

The Kern and Frenkel [1] patchy model is an amalgamation of the hard sphere model with attractive square well patches (HSSW). The potential has an angular aspect, given by (Eq. 1)



where the radial component is given by the square well model (Eq. 2)

and the orientational component is given by (Eq. 3)

where is the solid angle of a patch () whose axis is (see Fig. 1 of Ref. 1), forming a conical segment.

Two patches

The "two-patch" Kern and Frenkel model has been extensively studied by Sciortino and co-workers [2][3][4].

Four patches

Main article: Anisotropic particles with tetrahedral symmetry

Single-bond-per-patch-condition

If the two parameters and fullfil the condition

then the patch cannot be involved in more than one bond.

References

Related reading