Patchy particles: Difference between revisions

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The general model for a '''patchy particle''' <ref>[http://dx.doi.org/10.1021/nl0493500 Zhenli Zhang and Sharon C. Glotzer "Self-Assembly of Patchy Particles", Nano Letters '''4''' pp. 1407-1413 (2004)]</ref> is given by
'''Patchy particles''' <ref>[http://dx.doi.org/10.1021/nl0493500 Zhenli Zhang and Sharon C. Glotzer "Self-Assembly of Patchy Particles", Nano Letters '''4''' pp. 1407-1413 (2004)]</ref>
<ref>[http://dx.doi.org/10.1039/b614955c Jonathan P. K. Doye, Ard A. Louis, I-Chun Lin, Lucy R. Allen, Eva G. Noya, Alex W. Wilber, Hoong Chwan Kok and Rosie Lyus "Controlling crystallization and its absence: proteins, colloids and patchy models", Physical Chemistry Chemical Physics '''9''' pp. 2197-2205 (2007)]</ref>
 
:<math>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.
</math>
 
where <math>u_{\mathrm {LJ}}(r_{ij})</math> is the [[Lennard-Jones model | Lennard-Jones potential]] and
[[Image:patchy_model.png|center]]
==Anisotropy dimensions==
==Anisotropy dimensions==
Anisotropy dimensions is a classification scheme for patchy particles (See Figure 2 of <ref>[http://dx.doi.org/10.1038/nmat1949 Sharon C. Glotzer and  Michael J. Solomon "Anisotropy of building blocks and their assembly into complex structures",  Nature Materials '''6''' pp. 557-562 (2007)]</ref>).
Anisotropy dimensions is a classification scheme for patchy particles (See Figure 2 of <ref>[http://dx.doi.org/10.1038/nmat1949 Sharon C. Glotzer and  Michael J. Solomon "Anisotropy of building blocks and their assembly into complex structures",  Nature Materials '''6''' pp. 557-562 (2007)]</ref>).

Revision as of 11:23, 14 May 2010

Patchy particles [1]

Anisotropy dimensions

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

Surface coverage (A)

Aspect ratio (B)

Faceting (C)

Pattern quantisation (D)

Branching (E)

Chemical ordering (F)

Shape gradient (G)

Roughness (H)

Models

See also

References

  1. ↑ Zhenli Zhang and Sharon C. Glotzer "Self-Assembly of Patchy Particles", Nano Letters 4 pp. 1407-1413 (2004)
  2. ↑ Sharon C. Glotzer and Michael J. Solomon "Anisotropy of building blocks and their assembly into complex structures", Nature Materials 6 pp. 557-562 (2007)

Related reading

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