Hertzian sphere model - Revision history

Carl McBride: Added a couple of recent publications

2011-05-27T09:46:35Z

Added a couple of recent publications

← Older revision		Revision as of 11:46, 27 May 2011
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	==References==		==References==
	<references/>		<references/>
			;Related reading
			*[http://dx.doi.org/10.1063/1.3592563 Jian Yang and Kenneth S. Schweizer "Glassy dynamics and mechanical response in dense fluids of soft repulsive spheres. I. Activated relaxation, kinetic vitrification, and fragility", Journal of Chemical Physics '''134''' 204908 (2011)]
			*[http://dx.doi.org/10.1063/1.3592565 Jian Yang and Kenneth S. Schweizer "Glassy dynamics and mechanical response in dense fluids of soft repulsive spheres. II. Shear modulus, relaxation-elasticity connections, and rheology", Journal of Chemical Physics '''134''' 204909 (2011)]
	[[category: models]]		[[category: models]]

Carl McBride: Added a see also section

2011-01-26T10:26:01Z

Added a see also section

← Older revision		Revision as of 12:26, 26 January 2011
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	:[[Image:Hertzian_sphere.png\|500px]]		:[[Image:Hertzian_sphere.png\|500px]]

			==See also==
			*[[Harmonic repulsion potential]]
	==References==		==References==
	<references/>		<references/>
	[[category: models]]		[[category: models]]

Carl McBride: Added a plot of the Hertzian sphere potential

2010-04-06T14:13:48Z

Added a plot of the Hertzian sphere potential

← Older revision		Revision as of 16:13, 6 April 2010
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	</math>		</math>

	where <math> \Phi_{12}\left( r \right) </math> is the [[intermolecular pair potential]], <math>r := \|\mathbf{r}_1 - \mathbf{r}_2\|</math> is the distance between site 1 and site 2. <math>\sigma</math> represents a length scale and <math>\epsilon</math> an energy. In the limit <math>k_BT/\epsilon \rightarrow 0</math> this potential becomes the [[hard sphere model]].		where <math> \Phi_{12}\left( r \right) </math> is the [[intermolecular pair potential]], <math>r := \|\mathbf{r}_1 - \mathbf{r}_2\|</math> is the distance between site 1 and site 2. <math>\sigma</math> represents a length scale and <math>\epsilon</math> an energy. In the limit <math>k_BT/\epsilon \rightarrow 0</math> this potential becomes the [[hard sphere model]]. For example, for <math>\epsilon=10</math> the potential looks like

			:[[Image:Hertzian_sphere.png\|500px]]

	==References==		==References==
	<references/>		<references/>
	[[category: models]]		[[category: models]]

Carl McBride: New page: The '''Hertzian sphere model''' is given by [http://dx.doi.org/10.1063/1.3186742 Josep C. Pàmies, Angelo Cacciuto, and Daan Frenkel "Phase diagram of Hertzian spheres", Journal of Ch...

2009-08-03T09:43:23Z

New page: The '''Hertzian sphere model''' is given by <ref>[http://dx.doi.org/10.1063/1.3186742 Josep C. Pàmies, Angelo Cacciuto, and Daan Frenkel "Phase diagram of Hertzian spheres", Journal of Ch...

New page

The '''Hertzian sphere model''' is given by <ref>[http://dx.doi.org/10.1063/1.3186742 Josep C. Pàmies, Angelo Cacciuto, and Daan Frenkel "Phase diagram of Hertzian spheres", Journal of Chemical Physics '''131''' 044514 (2009)]</ref> (Eq. 1):

:<math>
\Phi_{12}\left( r \right) =
\left\{ \begin{array}{lll}
\epsilon (1-r/\sigma)^{5/2} & ; & r < \sigma \\
0 & ; & r \geq \sigma
\end{array} \right.
</math>

where <math> \Phi_{12}\left( r \right) </math> is the [[intermolecular pair potential]], <math>r := |\mathbf{r}_1 - \mathbf{r}_2|</math> is the distance between site 1 and site 2. <math>\sigma</math> represents a length scale and <math>\epsilon</math> an energy. In the limit <math>k_BT/\epsilon \rightarrow 0</math> this potential becomes the [[hard sphere model]].

==References==
<references/>
[[category: models]]