Widom-Rowlinson model - Revision history

Carl McBride: Added a reference

2009-10-01T13:17:41Z

Added a reference

← Older revision		Revision as of 15:17, 1 October 2009
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	where <math> \Phi_{HS}(r) </math> is the [[hard sphere model \| hard sphere]] [[intermolecular pair potential]].		where <math> \Phi_{HS}(r) </math> is the [[hard sphere model \| hard sphere]] [[intermolecular pair potential]].
	==Surface tension==		==Surface tension==
	The [[surface tension]] of the Widom-Rowlinson model has been studied ~~by:~~		The [[surface tension]] of the Widom-Rowlinson model has also been studied
	*[http://dx.doi.org/10.1063/1.2751153 E. de Miguel, N. G. Almarza and G. Jackson "Surface tension of the Widom-Rowlinson model", Journal of Chemical Physics '''127''' 034707 (2007)]		<ref>[http://dx.doi.org/10.1063/1.2751153 E. de Miguel, N. G. Almarza and G. Jackson "Surface tension of the Widom-Rowlinson model", Journal of Chemical Physics '''127''' 034707 (2007)]</ref>
	*[http://dx.doi.org/10.1063/1.2806279 Yuri Djikaev "The interfacial tension and phase diagram of the Widom-Rowlinson mixture via Monte Carlo simulations", Journal of Chemical Physics '''128''' 014712 (2008)]		<ref>[http://dx.doi.org/10.1063/1.2806279 Yuri Djikaev "The interfacial tension and phase diagram of the Widom-Rowlinson mixture via Monte Carlo simulations", Journal of Chemical Physics '''128''' 014712 (2008)]</ref>

	== References ==		== References ==
	<references/>		<references/>
			'''Related reading'''
			*[http://dx.doi.org/10.1080/00268977200101921 T. W. Melnyk, J. S. Rowlinson and B. L. Sawford "The penetrable sphere and related models of liquid—vapour equilibrium" Molecular Physics '''24''' pp. 809-831 (1972)]
	[[Category: Models]]		[[Category: Models]]

Nice and Tidy: Filled out journal title.

2009-02-12T18:03:41Z

Filled out journal title.

← Older revision		Revision as of 20:03, 12 February 2009
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	[[Image:2D_Widom_Rowlinson.png\|thumb\|Simulation snapshot of phase separation in two-dimensions.]]		[[Image:2D_Widom_Rowlinson.png\|thumb\|Simulation snapshot of phase separation in two-dimensions.]]
	The '''Widom-Rowlinson model''' <ref>[http://dx.doi.org/10.1063/1.1673203 B. Widom and J. S. Rowlinson, "New Model for the Study of Liquid–Vapor Phase Transitions", ~~J. Chem. Phys.~~ '''52''', pp. 1670-1684 (1970)]</ref> for mixtures takes the form:		The '''Widom-Rowlinson model''' <ref>[http://dx.doi.org/10.1063/1.1673203 B. Widom and J. S. Rowlinson, "New Model for the Study of Liquid–Vapor Phase Transitions", Journal of Chemical Physics '''52''', pp. 1670-1684 (1970)]</ref> for mixtures takes the form:

	:<math> \Phi \left( r_{ij} \right) = 0 </math>; if <math> i </math> and <math> j</math> are particles of the same species		:<math> \Phi \left( r_{ij} \right) = 0 </math>; if <math> i </math> and <math> j</math> are particles of the same species

Nice and Tidy: Converted to Cite.

2009-02-12T18:02:59Z

Converted to Cite.

← Older revision		Revision as of 20:02, 12 February 2009
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	[[Image:2D_Widom_Rowlinson.png\|thumb\|Simulation snapshot of phase separation in two-dimensions.]]		[[Image:2D_Widom_Rowlinson.png\|thumb\|Simulation snapshot of phase separation in two-dimensions.]]
	The '''Widom-Rowlinson model''' ~~(Ref~~. 1) for mixtures takes the form:		The '''Widom-Rowlinson model''' <ref>[http://dx.doi.org/10.1063/1.1673203 B. Widom and J. S. Rowlinson, "New Model for the Study of Liquid–Vapor Phase Transitions", J. Chem. Phys. '''52''', pp. 1670-1684 (1970)]</ref> for mixtures takes the form:

	:<math> \Phi \left( r_{ij} \right) = 0 </math>; if <math> i </math> and <math> j</math> are particles of the same species		:<math> \Phi \left( r_{ij} \right) = 0 </math>; if <math> i </math> and <math> j</math> are particles of the same species
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	== References ==		== References ==
	~~#[http:~~/~~/dx.doi.org/10.1063/1.1673203 B. Widom and J. S. Rowlinson, "New Model for the Study of Liquid–Vapor Phase Transitions", J. Chem. Phys. '''52''', pp. 1670-1684 (1970)]~~		<references/>
	[[Category: Models]]		[[Category: Models]]

Carl McBride: /* Surface tension */ Added new Ref.

2008-01-08T11:43:23Z

Surface tension: Added new Ref.

← Older revision		Revision as of 13:43, 8 January 2008
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	The [[surface tension]] of the Widom-Rowlinson model has been studied by:		The [[surface tension]] of the Widom-Rowlinson model has been studied by:
	*[http://dx.doi.org/10.1063/1.2751153 E. de Miguel, N. G. Almarza and G. Jackson "Surface tension of the Widom-Rowlinson model", Journal of Chemical Physics '''127''' 034707 (2007)]		*[http://dx.doi.org/10.1063/1.2751153 E. de Miguel, N. G. Almarza and G. Jackson "Surface tension of the Widom-Rowlinson model", Journal of Chemical Physics '''127''' 034707 (2007)]
			*[http://dx.doi.org/10.1063/1.2806279 Yuri Djikaev "The interfacial tension and phase diagram of the Widom-Rowlinson mixture via Monte Carlo simulations", Journal of Chemical Physics '''128''' 014712 (2008)]

	== References ==		== References ==
	#[http://dx.doi.org/10.1063/1.1673203 B. Widom and J. S. Rowlinson, "New Model for the Study of Liquid–Vapor Phase Transitions", J. Chem. Phys. '''52''', pp. 1670-1684 (1970)]		#[http://dx.doi.org/10.1063/1.1673203 B. Widom and J. S. Rowlinson, "New Model for the Study of Liquid–Vapor Phase Transitions", J. Chem. Phys. '''52''', pp. 1670-1684 (1970)]
	[[Category: Models]]		[[Category: Models]]

Carl McBride at 12:38, 7 September 2007

2007-09-07T12:38:54Z

← Older revision		Revision as of 14:38, 7 September 2007
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	[[Image:.~~2D_Widom_Rowlinsonpng~~\|thumb\|Simulation snapshot of phase separation in two-dimensions.]]		[[Image:2D_Widom_Rowlinson.png\|thumb\|Simulation snapshot of phase separation in two-dimensions.]]
	The '''Widom-Rowlinson model''' (Ref. 1) for mixtures takes the form:		The '''Widom-Rowlinson model''' (Ref. 1) for mixtures takes the form:

Carl McBride at 12:36, 7 September 2007

2007-09-07T12:36:34Z

← Older revision		Revision as of 14:36, 7 September 2007
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			[[Image:.2D_Widom_Rowlinsonpng\|thumb\|Simulation snapshot of phase separation in two-dimensions.]]
	The '''Widom-Rowlinson model''' (Ref. 1) for mixtures takes the form:		The '''Widom-Rowlinson model''' (Ref. 1) for mixtures takes the form:

Carl McBride at 09:36, 1 August 2007

2007-08-01T09:36:54Z

← Older revision		Revision as of 11:36, 1 August 2007
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	where <math> \Phi_{HS}(r) </math> is the [[hard sphere model \| hard sphere]] [[intermolecular pair potential]].		where <math> \Phi_{HS}(r) </math> is the [[hard sphere model \| hard sphere]] [[intermolecular pair potential]].
	==Surface tension==		==Surface tension==
			The [[surface tension]] of the Widom-Rowlinson model has been studied by:
	*[http://dx.doi.org/10.1063/1.2751153 E. de Miguel, N. G. Almarza and G. Jackson "Surface tension of the Widom-Rowlinson model", Journal of Chemical Physics '''127''' 034707 (2007)]		*[http://dx.doi.org/10.1063/1.2751153 E. de Miguel, N. G. Almarza and G. Jackson "Surface tension of the Widom-Rowlinson model", Journal of Chemical Physics '''127''' 034707 (2007)]
	== References ==		== References ==
	#[http://dx.doi.org/10.1063/1.1673203 B. Widom and J. S. Rowlinson, "New Model for the Study of Liquid–Vapor Phase Transitions", J. Chem. Phys. '''52''', pp. 1670-1684 (1970)]		#[http://dx.doi.org/10.1063/1.1673203 B. Widom and J. S. Rowlinson, "New Model for the Study of Liquid–Vapor Phase Transitions", J. Chem. Phys. '''52''', pp. 1670-1684 (1970)]
	[[Category: Models]]		[[Category: Models]]

Carl McBride at 14:29, 24 July 2007

2007-07-24T14:29:29Z

← Older revision		Revision as of 16:29, 24 July 2007
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	:<math> \Phi \left( r_{ij} \right) = \Phi_{HS}(r_{ij}); </math> if <math> i </math> and <math> j</math> belong to different species,		:<math> \Phi \left( r_{ij} \right) = \Phi_{HS}(r_{ij}); </math> if <math> i </math> and <math> j</math> belong to different species,

	where <math> \Phi_{HS}(r) </math> is the [[hard sphere model \| hard sphere]] pair potential		where <math> \Phi_{HS}(r) </math> is the [[hard sphere model \| hard sphere]] [[intermolecular pair potential]].
	==Surface tension==		==Surface tension==
	*[http://dx.doi.org/10.1063/1.2751153 E. de Miguel, N. G. Almarza and G. Jackson "Surface tension of the Widom-Rowlinson model", Journal of Chemical Physics '''127''' 034707 (2007)]		*[http://dx.doi.org/10.1063/1.2751153 E. de Miguel, N. G. Almarza and G. Jackson "Surface tension of the Widom-Rowlinson model", Journal of Chemical Physics '''127''' 034707 (2007)]

Carl McBride at 14:28, 24 July 2007

2007-07-24T14:28:23Z

← Older revision		Revision as of 16:28, 24 July 2007
Line 6:		Line 6:

	where <math> \Phi_{HS}(r) </math> is the [[hard sphere model \| hard sphere]] pair potential		where <math> \Phi_{HS}(r) </math> is the [[hard sphere model \| hard sphere]] pair potential
			==Surface tension==
			*[http://dx.doi.org/10.1063/1.2751153 E. de Miguel, N. G. Almarza and G. Jackson "Surface tension of the Widom-Rowlinson model", Journal of Chemical Physics '''127''' 034707 (2007)]
	== References ==		== References ==
	#[http://dx.doi.org/10.1063/1.1673203 B. Widom and J. S. Rowlinson, "New Model for the Study of Liquid–Vapor Phase Transitions", J. Chem. Phys. '''52''', pp. 1670-1684 (1970)]		#[http://dx.doi.org/10.1063/1.1673203 B. Widom and J. S. Rowlinson, "New Model for the Study of Liquid–Vapor Phase Transitions", J. Chem. Phys. '''52''', pp. 1670-1684 (1970)]
	[[Category: Models]]		[[Category: Models]]

Nice and Tidy at 12:37, 21 June 2007

2007-06-21T12:37:54Z

← Older revision		Revision as of 14:37, 21 June 2007
Line 1:		Line 1:
	The Widom-Rowlinson model (Ref. 1) for mixtures takes the form:		The '''Widom-Rowlinson model''' (Ref. 1) for mixtures takes the form:

	:<math> V \left( r_{ij} \right) = 0 </math>; if <math> i </math> and <math> j</math> are particles of the same species		:<math> \Phi \left( r_{ij} \right) = 0 </math>; if <math> i </math> and <math> j</math> are particles of the same species

	:<math> V \left( r_{ij} \right) = V_{HS}(r_{ij}); </math> if <math> i </math> and <math> j</math> belong to different species,		:<math> \Phi \left( r_{ij} \right) = \Phi_{HS}(r_{ij}); </math> if <math> i </math> and <math> j</math> belong to different species,

	~~with~~ <math> V_{HS}(R) </math> is the [[hard sphere model \| hard sphere]] pair potential		where <math> \Phi_{HS}(r) </math> is the [[hard sphere model \| hard sphere]] pair potential

	== References ==		== References ==
	#[http://dx.doi.org/10.1063/1.1673203 B. Widom and J. S. Rowlinson, "New Model for the Study of Liquid–Vapor Phase Transitions", J. Chem. Phys. '''52''', pp. 1670-1684 (1970)]		#[http://dx.doi.org/10.1063/1.1673203 B. Widom and J. S. Rowlinson, "New Model for the Study of Liquid–Vapor Phase Transitions", J. Chem. Phys. '''52''', pp. 1670-1684 (1970)]
	[[Category: Models]]		[[Category: Models]]