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> are models designed to keep pace with the rapid advances in the field of [[colloids]]. It is now possible to synthesise or fabricate tiny particles that have a variety of shapes, composition etc. In order to simulate these structures, there is a corresponding growth in the number of [[idealised models]] being developed and studied. With a view to classifying
<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>
these "patchy" models the idea of "anisotropy dimensions" has been put forward.
 
==Taxonomy: anisotropy dimensions==
:<math>u_{\mathrm {patchy}}({\mathbf r}_{ij},{\mathbf \Omega}_i,{\mathbf \Omega}_j)  =
Anisotropy dimensions is a classification scheme for patchy particles <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>.
\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 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>).
The eight attributes are as follows:
The eight attributes are as follows:
====Surface coverage (A)====
====Surface coverage (A)====
:[[Image:patchy_dimension_A.png|500px]]
====Aspect ratio (B)====
====Aspect ratio (B)====
:::[[Image:patchy_dimension_B.png|500px]]
====Faceting (C)====
====Faceting (C)====
:[[Image:patchy_dimension_C.png|500px]]
====Pattern quantisation (D)====
====Pattern quantisation (D)====
:[[Image:patchy_dimension_D.png|500px]]
====Branching (E)====
====Branching (E)====
:[[Image:patchy_dimension_E.png|500px]]
====Chemical ordering (F)====
====Chemical ordering (F)====
:::[[Image:patchy_dimension_F.png|500px]]
====Shape gradient (G)====
====Shape gradient (G)====
:::[[Image:patchy_dimension_G.png|500px]]
====Roughness (H)====
====Roughness (H)====
::[[Image:patchy_dimension_H.png|500px]]
==Models==
==Models==
*[[Bol model of water]]
*[[Bol model of water]]
*[[Dahl and Andersen model of water]]
*[[Dahl and Andersen model of water]]
*[[Inverse patchy colloids]]
*[[Kern and Frenkel patchy model]]  
*[[Kern and Frenkel patchy model]]  
*[[Modulated patchy Lennard-Jones model]]
*[[Smith and Nezbeda associated fluid model]]
*[[Smith and Nezbeda associated fluid model]]
*[[Laponite]]


==See also==
==See also==
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*[[Janus particles]]
*[[Janus particles]]
*[[Phase diagram of anisotropic particles with octahedral symmetry]]
*[[Phase diagram of anisotropic particles with octahedral symmetry]]
*[[Phase diagram of anisotropic particles with tetrahedral symmetry]]
*[[Anisotropic particles with tetrahedral symmetry]]
*[[Wertheim's first order thermodynamic perturbation theory (TPT1)]]
*[[Wertheim's first order thermodynamic perturbation theory (TPT1)]]
*[[TPT-CF| Multi-patch RTPT-CF]]


==References==
==References==
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'''Related reading'''
'''Related reading'''
*[http://dx.doi.org/10.1002/marc.200900614 Amar B. Pawar and Ilona Kretzschmar "Fabrication, Assembly, and Application of Patchy Particles", Macromolecular Rapid Communications '''31''' pp. 150-168 (2010)]
*[http://dx.doi.org/10.1002/marc.200900614 Amar B. Pawar and Ilona Kretzschmar "Fabrication, Assembly, and Application of Patchy Particles", Macromolecular Rapid Communications '''31''' pp. 150-168 (2010)]
*[http://dx.doi.org/10.1038/nmat2927 Willem K. Kegel and Henk N. W. Lekkerkerker "Colloidal gels: Clay goes patchy", Nature Materials '''10''' pp. 5-6 (2011)]
*[http://dx.doi.org/10.1021/la3017563 Zhenping He and Ilona Kretzschmar "Template-Assisted Fabrication of Patchy Particles with Uniform Patches", Langmuir '''28''' pp. 9915-9919 (2011)]
[[category: models]]
[[category: models]]

Latest revision as of 12:27, 23 March 2015

Patchy particles [1] are models designed to keep pace with the rapid advances in the field of colloids. It is now possible to synthesise or fabricate tiny particles that have a variety of shapes, composition etc. In order to simulate these structures, there is a corresponding growth in the number of idealised models being developed and studied. With a view to classifying these "patchy" models the idea of "anisotropy dimensions" has been put forward.

Taxonomy: anisotropy dimensions[edit]

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

Surface coverage (A)[edit]

Aspect ratio (B)[edit]

Faceting (C)[edit]

Pattern quantisation (D)[edit]

Branching (E)[edit]

Chemical ordering (F)[edit]

Shape gradient (G)[edit]

Roughness (H)[edit]

Models[edit]

See also[edit]

References[edit]

  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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