Sutherland potential: Difference between revisions

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(New page: The '''Sutherland potential''' is given by :<math> \Phi\left( r \right) = \left\{ \begin{array}{lll} \infty & ; & r \leq \sigma \\ - \left( \frac{ \epsilon \sigma }{r}\right)^{\gamma} & ...)
 
m (Added a correct but broken (Taylor & Francis!) DOI.)
 
(7 intermediate revisions by 2 users not shown)
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The '''Sutherland potential''' is given by
The '''Sutherland potential''' <ref>[http://dx.doi.org/10.1080/14786449308620508 William Sutherland "The viscosity of gases and molecular force", Philosophical Magazine '''36''' pp. 507-531 (1893)]</ref><ref>[http://dx.doi.org/10.1103/RevModPhys.36.1025 H. W. Graben and R. D. Present "Third Virial Coefficient for the Sutherland (∞, ν) Potential", Reviews of Modern Physics '''36''' pp.  1025-1033 (1964)]</ref> is given by


:<math>
:<math>
\Phi\left( r \right) =  
\Phi_{12}\left( r \right) =  
\left\{ \begin{array}{lll}
\left\{ \begin{array}{lll}
\infty & ; & r \leq \sigma \\
\infty & ; & r \leq \sigma \\
- \left( \frac{ \epsilon \sigma }{r}\right)^{\gamma} & ; & r > \sigma  
- \epsilon\left( \frac{ \sigma }{r}\right)^{\gamma} & ; & r > \sigma  
\end{array} \right.
\end{array} \right.
</math>
</math>


where <math> \Phi\left( r \right) </math> is the [[intermolecular pair potential]], <math> r </math> is the distance,  
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> is the hard diameter, <math> \epsilon </math> is the energy well depth (<math> \epsilon > 0 </math>), and
<math> \sigma </math> is the radius of the central hard core, <math> \epsilon </math> is the energy well depth (<math> \epsilon > 0 </math>), and
<math> \gamma </math> is a parameter that controls the interaction range.
<math> \gamma </math> is a parameter that controls the interaction range. For example, for <math>\gamma=6</math> the potential look like


:[[Image:Sutherland.png|500px]]
==References==
==References==
#[http://dx.doi.org/10.1063/1.431141 D. Levi and M. de Llano "Closed form of second virial coefficient for Sutherland potential", Journal of Chemical Physics '''63''' pp. 4561-4562 (1975)]
<references/>
#[http://dx.doi.org/10.1016/j.fluid.2007.01.011  A. Díez, J. Largo and J. R. Solana "Structure and thermodynamic properties of Sutherland fluids from computer simulation and the Tang–Lu integral equation theory", Fluid Phase Equilibria  '''253''' pp. 67-73 (2007)]
'''Related reading'''
#[http://dx.doi.org/10.1063/1.2828720 Jianguo Mi, Yiping Tang, and Chongli Zhong "Theoretical study of Sutherland fluids with long-range, short-range, and highly short-range potential parameters", Journal of Chemical Physics '''128''' 054503 (2008)]
*[http://dx.doi.org/10.1063/1.431141 D. Levi and M. de Llano "Closed form of second virial coefficient for Sutherland potential", Journal of Chemical Physics '''63''' pp. 4561-4562 (1975)]
*[http://dx.doi.org/10.1142/S0217979204025142 Jianxiang Tian and Yuanxing Gui "Liquid-gas phase transition to first order of an argon-like fluid modeled by the hard-core similar Sutherland potential", International Journal of Modern Physics B '''18''' pp. 2057-2069 (2004)]
*[http://dx.doi.org/10.1016/j.fluid.2007.01.011  A. Díez, J. Largo and J. R. Solana "Structure and thermodynamic properties of Sutherland fluids from computer simulation and the Tang–Lu integral equation theory", Fluid Phase Equilibria  '''253''' pp. 67-73 (2007)]
*[http://dx.doi.org/10.1063/1.2828720 Jianguo Mi, Yiping Tang, and Chongli Zhong "Theoretical study of Sutherland fluids with long-range, short-range, and highly short-range potential parameters", Journal of Chemical Physics '''128''' 054503 (2008)]
*[http://dx.doi.org/10.1063/1.3371710 Roman Melnyk, Pedro Orea, Ivo Nezbeda, and Andrij Trokhymchuk "Liquid/vapor coexistence and surface tension of the Sutherland fluid with a variable range of interaction: Computer simulation and perturbation theory studies", Journal of Chemical Physics '''132''' 134504 (2010)]
*[http://dx.doi.org/10.1016/j.fluid.2009.10.027 F. Paragand, F. Feyzi and B. Behzadi "Application of the SAFT-VR equation of state to vapor–liquid equilibrium calculations for pure components and binary mixtures using the Sutherland potential", Fluid Phase Equilibria '''290''' pp. 181-194 (2010)]
 
[[Category: Models]]
[[Category: Models]]

Latest revision as of 15:32, 6 April 2010

The Sutherland potential [1][2] is given by

where is the intermolecular pair potential, is the distance between site 1 and site 2, is the radius of the central hard core, is the energy well depth (), and is a parameter that controls the interaction range. For example, for the potential look like

References[edit]

  1. ↑ William Sutherland "The viscosity of gases and molecular force", Philosophical Magazine 36 pp. 507-531 (1893)
  2. ↑ H. W. Graben and R. D. Present "Third Virial Coefficient for the Sutherland (∞, ν) Potential", Reviews of Modern Physics 36 pp. 1025-1033 (1964)

Related reading

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