Hard hyperspheres: Difference between revisions

From SklogWiki
Jump to navigation Jump to search
m (Trivial tidy.)
m (Slight tidy + new publication)
Line 1: Line 1:
{{Stub-general}}
'''Hard hyperspheres''' are [[hard sphere model | hard spheres]] in more than three dimensions (<math>D</math>).
'''Hard hyperspheres''' are [[hard sphere model | hard spheres]] in more than three dimensions.  
==Volume==
The volume of an ''n''-sphere of unit diameter is given by  
The volume of an ''n''-sphere of unit diameter is given by  


Line 6: Line 6:


where <math>\Gamma(m)</math> is the [[Gamma function]].
where <math>\Gamma(m)</math> is the [[Gamma function]].
==See also==
==Structure factor==
*[[Hard sphere: virial coefficients]]
[[Structure factor]] <ref>[http://dx.doi.org/10.1063/1.2743031 Paula A. Whitlock, Marvin Bishop and John L. Tiglias "Structure factor for hard hyperspheres in higher dimensions", Journal of Chemical Physics '''126''' 224505 (2007)]</ref>
==Liquid-solid transition==
The [[Solid-liquid phase transitions |liquid-solid]] transition for <math>D=4, 5</math> and <math>6</math> <ref>[http://dx.doi.org/10.1063/1.3530780 C. D. Estrada and M. Robles "Fluid–solid transition in hard hypersphere systems", Journal of Chemical Physics '''134''' 044115 (2011)]</ref>.
==Virial coefficients==
[[Hard sphere: virial coefficients]] for odd dimensions <ref>[http://dx.doi.org/10.1063/1.2951456 René D. Rohrmann, Miguel Robles, Mariano López de Haro, and Andrés Santos "Virial series for fluids of hard hyperspheres in odd dimensions", Journal of Chemical Physics '''129''' 014510 (2008)]</ref>
==Percus–Yevick equation==
The [[Percus Yevick]] equation <ref>[http://dx.doi.org/10.1063/1.2991338 M. Adda-Bedia, E. Katzav, and D. Vella "Solution of the Percus–Yevick equation for hard hyperspheres in even dimensions", Journal of Chemical Physics '''129''' 144506 (2008)]</ref>
==References==
==References==
#[http://dx.doi.org/10.1063/1.2743031 Paula A. Whitlock,    Marvin Bishop and John L. Tiglias "Structure factor for hard hyperspheres in higher dimensions", Journal of Chemical Physics '''126''' 224505 (2007)]
<references/>
#[http://dx.doi.org/10.1063/1.2951456 René D. Rohrmann, Miguel Robles, Mariano López de Haro, and Andrés Santos "Virial series for fluids of hard hyperspheres in odd dimensions", Journal of Chemical Physics '''129''' 014510 (2008)]
#[http://dx.doi.org/10.1063/1.2991338 M. Adda-Bedia, E. Katzav, and D. Vella "Solution of the Percus–Yevick equation for hard hyperspheres in even dimensions", Journal of Chemical Physics '''129''' 144506 (2008)]
[[category: models]]
[[category: models]]

Revision as of 11:45, 1 February 2011