Editing Modulated patchy Lennard-Jones model

Jump to navigation Jump to search
Warning: You are not logged in. Your IP address will be publicly visible if you make any edits. If you log in or create an account, your edits will be attributed to your username, along with other benefits.

The edit can be undone. Please check the comparison below to verify that this is what you want to do, and then publish the changes below to finish undoing the edit.

Latest revision Your text
Line 1: Line 1:
The '''modulated patchy Lennard-Jones model''' is given by
The '''modulated patchy Lennard-Jones model''' is given by
<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> (Eqs. 4.3 and 4.4)
<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>\Phi_{\mathrm {patchy}}({\mathbf r}_{ij},{\mathbf \Omega}_i,{\mathbf \Omega}_j)  =
:<math>u_{\mathrm {patchy}}({\mathbf r}_{ij},{\mathbf \Omega}_i,{\mathbf \Omega}_j)  =
\left\{ \begin{array}{lll}
\left\{ \begin{array}{lll}


\Phi_{\mathrm {LJ}}(r_{ij})  & ; & r_{ij} <  \sigma_{\mathrm {LJ}} \\
u_{\mathrm {LJ}}(r_{ij})  & ; & r_{ij} <  \sigma_{\mathrm {LJ}} \\


\Phi_{\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)
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}}
  & ; & r_{ij} \ge  \sigma_{\mathrm{LJ}}


Line 13: Line 13:
</math>
</math>


where <math>\Phi_{\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|center]]
[[Image:patchy_model.png|center]]
==References==
==References==
Please note that all contributions to SklogWiki are considered to be released under the Creative Commons Attribution Non-Commercial Share Alike (see SklogWiki:Copyrights for details). If you do not want your writing to be edited mercilessly and redistributed at will, then do not submit it here.
You are also promising us that you wrote this yourself, or copied it from a public domain or similar free resource. Do not submit copyrighted work without permission!

To edit this page, please answer the question that appears below (more info):

Cancel Editing help (opens in new window)