Vega equation of state for hard ellipsoids - Revision history

Carl McBride: /* References */ Added volume and page numbers.

2010-02-19T11:28:54Z

References: Added volume and page numbers.

← Older revision		Revision as of 13:28, 19 February 2010
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	<references/>		<references/>
	'''Related reading'''		'''Related reading'''
	*[http://dx.doi.org/10.1016/j.fluid.2007.03.026 Carl McBride and Enrique Lomba "Hard biaxial ellipsoids revisited: Numerical results", Fluid Phase Equilibria (2007)]		*[http://dx.doi.org/10.1016/j.fluid.2007.03.026 Carl McBride and Enrique Lomba "Hard biaxial ellipsoids revisited: Numerical results", Fluid Phase Equilibria '''255''' pp. 37-45 (2007)]
	[[category: equations of state]]		[[category: equations of state]]
	[[category: virial coefficients]]		[[category: virial coefficients]]
	{{numeric}}		{{numeric}}

Nice and Tidy: Slight tidy.

2009-06-09T13:33:53Z

Slight tidy.

← Older revision		Revision as of 15:33, 9 June 2009
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	The '''Vega''' equation of state for an isotropic fluid of hard (biaxial) [[Hard ellipsoid model \|ellipsoids]] is given by (~~Ref. 1~~ Eq. 20):		The '''Vega''' [[equations of state \|equation of state]] for an isotropic fluid of hard (biaxial) [[Hard ellipsoid model \|ellipsoids]] is given by
			<ref>[http://dx.doi.org/10.1080/002689797169934 Carlos Vega "Virial coefficients and equation of state of hard ellipsoids", Molecular Physics '''92''' pp. 651-665 (1997)]</ref>
			(Eq. 20):

	:<math>		:<math>
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	where <math>Z</math> is the [[compressibility factor]] and <math>y</math> is the [[volume fraction]], given by		where <math>Z</math> is the [[compressibility factor]] and <math>y</math> is the [[volume fraction]], given by
	<math>y= \rho V</math> where <math>\rho</math> is the [[number density]].		<math>y= \rho V</math> where <math>\rho</math> is the [[number density]].
	The virial coefficients are given by the fits		The [[Virial equation of state \|virial coefficients]] are given by the fits

	:<math>B_3^* = 10 + 13.094756 \alpha' - 2.073909\tau' + 4.096689 \alpha'^2		:<math>B_3^* = 10 + 13.094756 \alpha' - 2.073909\tau' + 4.096689 \alpha'^2
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	where <math>V</math> is		where <math>V</math> is
	the volume, <math>S</math>, the surface area, and <math>R</math> the mean radius of curvature.		the volume, <math>S</math>, the surface area, and <math>R</math> the mean radius of curvature. These can be calculated
			using this [[Mathematica]] notebook file for
			[http://ender.quim.ucm.es/SR_B2_B3_ellipsoids.nb calculating the surface area and mean radius of curvature of an ellipsoid].
	For <math>B_2</math> see the page "[[Second virial coefficient]]".		For <math>B_2</math> see the page "[[Second virial coefficient]]".
	==References==		==References==
	~~#[http:~~/~~/dx.doi.org/10.1080/002689797169934 Carlos Vega "Virial coefficients and equation of state of hard ellipsoids", Molecular Physics~~ '''92''' ~~pp. 651-665 (1997)]~~		<references/>
	#[http://dx.doi.org/10.1016/j.fluid.2007.03.026 Carl McBride and Enrique Lomba "Hard biaxial ellipsoids revisited: Numerical results", Fluid Phase Equilibria (2007)]		'''Related reading'''
			*[http://dx.doi.org/10.1016/j.fluid.2007.03.026 Carl McBride and Enrique Lomba "Hard biaxial ellipsoids revisited: Numerical results", Fluid Phase Equilibria (2007)]
	[[category: equations of state]]		[[category: equations of state]]
	[[category: virial coefficients]]		[[category: virial coefficients]]
			{{numeric}}

Carl McBride: Changed name of internal link.

2008-07-25T09:18:56Z

Changed name of internal link.

← Older revision		Revision as of 11:18, 25 July 2008
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	The '''Vega''' equation of state for an isotropic fluid of hard (biaxial) [[Hard ~~ellipsoids~~ \|ellipsoids]] is given by (Ref. 1 Eq. 20):		The '''Vega''' equation of state for an isotropic fluid of hard (biaxial) [[Hard ellipsoid model \|ellipsoids]] is given by (Ref. 1 Eq. 20):

	:<math>		:<math>

Carl McBride: Vega EOS for hard ellipsoids moved to Vega equation of state for hard ellipsoids: Expanded teh acronym.

2008-07-04T10:01:31Z

Vega EOS for hard ellipsoids moved to Vega equation of state for hard ellipsoids: Expanded teh acronym.

← Older revision	Revision as of 12:01, 4 July 2008
(No difference)

Carl McBride at 09:17, 12 July 2007

2007-07-12T09:17:21Z

← Older revision		Revision as of 11:17, 12 July 2007
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	the volume, <math>S</math>, the surface area, and <math>R</math> the mean radius of curvature.		the volume, <math>S</math>, the surface area, and <math>R</math> the mean radius of curvature.

	For <math>B_2</math> see [[~~B_2 for any hard convex body~~]].		For <math>B_2</math> see the page "[[Second virial coefficient]]".
	==References==		==References==
	#[http://dx.doi.org/10.1080/002689797169934 Carlos Vega "Virial coefficients and equation of state of hard ellipsoids", Molecular Physics '''92''' pp. 651-665 (1997)]		#[http://dx.doi.org/10.1080/002689797169934 Carlos Vega "Virial coefficients and equation of state of hard ellipsoids", Molecular Physics '''92''' pp. 651-665 (1997)]

Nice and Tidy at 16:16, 25 May 2007

2007-05-25T16:16:50Z

← Older revision		Revision as of 18:16, 25 May 2007
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	#[http://dx.doi.org/10.1080/002689797169934 Carlos Vega "Virial coefficients and equation of state of hard ellipsoids", Molecular Physics '''92''' pp. 651-665 (1997)]		#[http://dx.doi.org/10.1080/002689797169934 Carlos Vega "Virial coefficients and equation of state of hard ellipsoids", Molecular Physics '''92''' pp. 651-665 (1997)]
	#[http://dx.doi.org/10.1016/j.fluid.2007.03.026 Carl McBride and Enrique Lomba "Hard biaxial ellipsoids revisited: Numerical results", Fluid Phase Equilibria (2007)]		#[http://dx.doi.org/10.1016/j.fluid.2007.03.026 Carl McBride and Enrique Lomba "Hard biaxial ellipsoids revisited: Numerical results", Fluid Phase Equilibria (2007)]
			[[category: equations of state]]
			[[category: virial coefficients]]

161.111.27.2 at 09:25, 24 April 2007

2007-04-24T09:25:04Z

← Older revision		Revision as of 11:25, 24 April 2007
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	==References==		==References==
	#[http://dx.doi.org/10.1080/002689797169934 Carlos Vega "Virial coefficients and equation of state of hard ellipsoids", Molecular Physics '''92''' pp. 651-665 (1997)]		#[http://dx.doi.org/10.1080/002689797169934 Carlos Vega "Virial coefficients and equation of state of hard ellipsoids", Molecular Physics '''92''' pp. 651-665 (1997)]
			#[http://dx.doi.org/10.1016/j.fluid.2007.03.026 Carl McBride and Enrique Lomba "Hard biaxial ellipsoids revisited: Numerical results", Fluid Phase Equilibria (2007)]

Carl McBride at 12:07, 30 March 2007

2007-03-30T12:07:11Z

← Older revision		Revision as of 14:07, 30 March 2007
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	The '''Vega''' equation of state for hard (biaxial) [[Hard ellipsoids \|ellipsoids]] is given by (Ref. 1 Eq. 20):		The '''Vega''' equation of state for an isotropic fluid of hard (biaxial) [[Hard ellipsoids \|ellipsoids]] is given by (Ref. 1 Eq. 20):

	:<math>		:<math>

Carl McBride at 17:37, 29 March 2007

2007-03-29T17:37:10Z

← Older revision		Revision as of 19:37, 29 March 2007
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	- 50.490244\alpha'^3 - 120.995139\tau'^3 + 12.624655\alpha'^3\tau',		- 50.490244\alpha'^3 - 120.995139\tau'^3 + 12.624655\alpha'^3\tau',
	</math>		</math>



	where		where

Carl McBride at 17:36, 29 March 2007

2007-03-29T17:36:42Z

← Older revision		Revision as of 19:36, 29 March 2007
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	where <math>B_n^*= B_n/V^{n-1}</math>,		where

			:<math>B_n^*= B_n/V^{n-1}</math>,


	:<math>\tau' = \frac{4 \pi R^2}{S} -1,</math>		:<math>\tau' = \frac{4 \pi R^2}{S} -1,</math>