3-dimensional hard rods - Revision history

Carl McBride: /* Related models */ Added an internal link

2017-10-09T15:08:15Z

Related models: Added an internal link

← Older revision		Revision as of 17:08, 9 October 2017
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	==Related models==		==Related models==
	*[[1-dimensional hard rods]]		*[[1-dimensional hard rods]]
			*[[2-dimensional hard rods]]
	*[[Hard spherocylinders]]		*[[Hard spherocylinders]]
	*[[Zwanzig model]]		*[[Zwanzig model]]

Carl McBride: /* Related models */ Added an internal link

2012-09-20T10:12:03Z

Related models: Added an internal link

← Older revision		Revision as of 12:12, 20 September 2012
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	*[[1-dimensional hard rods]]		*[[1-dimensional hard rods]]
	*[[Hard spherocylinders]]		*[[Hard spherocylinders]]
			*[[Zwanzig model]]

	==References==		==References==
	[[category: models]]		[[category: models]]

Carl McBride: Added a section on mixtures.

2008-10-16T13:20:55Z

Added a section on mixtures.

← Older revision		Revision as of 15:20, 16 October 2008
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	#[http://dx.doi.org/10.1111/j.1749-6632.1949.tb27296.x Lars Onsager "The effects of shape on the interaction of colloidal particles", Annals of the New York Academy of Sciences '''51''' pp. 627-659 (1949)]		#[http://dx.doi.org/10.1111/j.1749-6632.1949.tb27296.x Lars Onsager "The effects of shape on the interaction of colloidal particles", Annals of the New York Academy of Sciences '''51''' pp. 627-659 (1949)]

			==Mixtures==
			#[http://dx.doi.org/10.1080/00268970802385253 Szabolcs Varga, András Gábor, Enrique Velasco, Luis Mederos and Franz J. Vesely "Demixed and ordered phases in hard-rod mixtures", Molecular Physics '''106''' pp. 1939-1947 (2008)]
	==Isotropic-nematic transition==		==Isotropic-nematic transition==
	Hard rods of sufficient length are able to display [[liquid crystals \| liquid crystalline]] behaviour, specifically, an [[Isotropic-nematic phase transition \|isotropic to nematic transition]], as well as the [[smectic phases \|smectic phase]].		Hard rods of sufficient length are able to display [[liquid crystals \| liquid crystalline]] behaviour, specifically, an [[Isotropic-nematic phase transition \|isotropic to nematic transition]], as well as the [[smectic phases \|smectic phase]].

Carl McBride: Added a very short introduction.

2008-07-23T14:38:10Z

Added a very short introduction.

← Older revision		Revision as of 16:38, 23 July 2008
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	~~{{stub~~-~~general}}~~		'''3-dimensional hard rods''' are line segments that are unable to intersect. The can also be considered to be a limiting case of the [[Hard spherocylinders \| hard spherocylinder model]] whose diameter is zero.
	==Minimum distance==		==Minimum distance==
	The minimum distance between two hard rods in three dimensions can be calculated using an algorithm published by Vega and Lago (Ref. 1). The [[Source code for the minimum distance between two rods \| source code can be found here]]. Such an algorithm is essential in, for example, a [[Monte Carlo]] simulation, in order to check for overlaps between two sites.		The minimum distance between two hard rods in three dimensions can be calculated using an algorithm published by Vega and Lago (Ref. 1). The [[Source code for the minimum distance between two rods \| source code can be found here]]. Such an algorithm is essential in, for example, a [[Monte Carlo]] simulation, in order to check for overlaps between two sites.

Carl McBride: /* Minimum distance */ Added a little more content an a link to the source.

2008-07-23T09:40:53Z

Minimum distance: Added a little more content an a link to the source.

← Older revision		Revision as of 11:40, 23 July 2008
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	{{stub-general}}		{{stub-general}}
	==Minimum distance==		==Minimum distance==
	*[http://dx.doi.org/10.1016/0097-8485(94)80023-5 Carlos Vega and Santiago Lago "A fast algorithm to evaluate the shortest distance between rods", Computers & Chemistry '''18''' pp. 55-59 (1994)]		The minimum distance between two hard rods in three dimensions can be calculated using an algorithm published by Vega and Lago (Ref. 1). The [[Source code for the minimum distance between two rods \| source code can be found here]]. Such an algorithm is essential in, for example, a [[Monte Carlo]] simulation, in order to check for overlaps between two sites.
			#[http://dx.doi.org/10.1016/0097-8485(94)80023-5 Carlos Vega and Santiago Lago "A fast algorithm to evaluate the shortest distance between rods", Computers & Chemistry '''18''' pp. 55-59 (1994)]

	==Density-functional theory==		==Density-functional theory==
	[[Density-functional theory]]		[[Density-functional theory]]

Carl McBride: /* Density-functional theory */ DB test

2008-02-20T16:49:43Z

Density-functional theory: DB test

← Older revision		Revision as of 18:49, 20 February 2008
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	*[http://dx.doi.org/10.1016/0097-8485(94)80023-5 Carlos Vega and Santiago Lago "A fast algorithm to evaluate the shortest distance between rods", Computers & Chemistry '''18''' pp. 55-59 (1994)]		*[http://dx.doi.org/10.1016/0097-8485(94)80023-5 Carlos Vega and Santiago Lago "A fast algorithm to evaluate the shortest distance between rods", Computers & Chemistry '''18''' pp. 55-59 (1994)]
	==Density-functional theory==		==Density-functional theory==
			[[Density-functional theory]]
	#[http://dx.doi.org/10.1103/PhysRevA.41.6871 A. Poniewierski and R. Holyst "Density-functional theory for systems of hard rods", Physical Review A '''41''' pp. 6871-6880 (1990)]		#[http://dx.doi.org/10.1103/PhysRevA.41.6871 A. Poniewierski and R. Holyst "Density-functional theory for systems of hard rods", Physical Review A '''41''' pp. 6871-6880 (1990)]

	==Infinitely long hard rods==		==Infinitely long hard rods==
	:''Main article: [[Onsager theory]]''		:''Main article: [[Onsager theory]]''

Carl McBride: /* Related models */ Added internal link

2008-02-20T11:55:33Z

Related models: Added internal link

← Older revision		Revision as of 13:55, 20 February 2008
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	==Related models==		==Related models==
	*[[1-dimensional hard rods]]		*[[1-dimensional hard rods]]
			*[[Hard spherocylinders]]

	==References==		==References==
	[[category: models]]		[[category: models]]

Carl McBride: /* Infinitely long hard rods */ Added internal link

2008-02-20T11:54:06Z

Infinitely long hard rods: Added internal link

← Older revision		Revision as of 13:54, 20 February 2008
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	#[http://dx.doi.org/10.1103/PhysRevA.41.6871 A. Poniewierski and R. Holyst "Density-functional theory for systems of hard rods", Physical Review A '''41''' pp. 6871-6880 (1990)]		#[http://dx.doi.org/10.1103/PhysRevA.41.6871 A. Poniewierski and R. Holyst "Density-functional theory for systems of hard rods", Physical Review A '''41''' pp. 6871-6880 (1990)]
	==Infinitely long hard rods==		==Infinitely long hard rods==
	*[[Onsager theory]]		:''Main article: [[Onsager theory]]''
	#[http://dx.doi.org/10.1111/j.1749-6632.1949.tb27296.x Lars Onsager "The effects of shape on the interaction of colloidal particles", Annals of the New York Academy of Sciences '''51''' pp. 627-659 (1949)]		#[http://dx.doi.org/10.1111/j.1749-6632.1949.tb27296.x Lars Onsager "The effects of shape on the interaction of colloidal particles", Annals of the New York Academy of Sciences '''51''' pp. 627-659 (1949)]

	==Isotropic-nematic transition==		==Isotropic-nematic transition==
	Hard rods of sufficient length are able to display [[liquid crystals \| liquid crystalline]] behaviour, specifically, an [[Isotropic-nematic phase transition \|isotropic to nematic transition]], as well as the [[smectic phases \|smectic phase]].		Hard rods of sufficient length are able to display [[liquid crystals \| liquid crystalline]] behaviour, specifically, an [[Isotropic-nematic phase transition \|isotropic to nematic transition]], as well as the [[smectic phases \|smectic phase]].

Carl McBride: New page: {{stub-general}} ==Minimum distance== *[http://dx.doi.org/10.1016/0097-8485(94)80023-5 Carlos Vega and Santiago Lago "A fast algorithm to evaluate the shortest distance between rods", Co...

2008-02-20T11:53:17Z

New page: {{stub-general}} ==Minimum distance== *[http://dx.doi.org/10.1016/0097-8485(94)80023-5 Carlos Vega and Santiago Lago "A fast algorithm to evaluate the shortest distance between rods", Co...

New page

{{stub-general}}
==Minimum distance==
*[http://dx.doi.org/10.1016/0097-8485(94)80023-5 Carlos Vega and Santiago Lago "A fast algorithm to evaluate the shortest distance between rods", Computers & Chemistry '''18''' pp. 55-59 (1994)]
==Density-functional theory==
#[http://dx.doi.org/10.1103/PhysRevA.41.6871 A. Poniewierski and R. Holyst "Density-functional theory for systems of hard rods", Physical Review A '''41''' pp. 6871-6880 (1990)]
==Infinitely long hard rods==
*[[Onsager theory]]
#[http://dx.doi.org/10.1111/j.1749-6632.1949.tb27296.x Lars Onsager "The effects of shape on the interaction of colloidal particles", Annals of the New York Academy of Sciences '''51''' pp. 627-659 (1949)]
==Isotropic-nematic transition==
Hard rods of sufficient length are able to display [[liquid crystals | liquid crystalline]] behaviour, specifically, an [[Isotropic-nematic phase transition |isotropic to nematic transition]], as well as the [[smectic phases |smectic phase]].
#Ping Sheng "Hard rod model of the nematic-isotropic phase transition", RCA Review '''35''' pp. 132-143 (1974)
#[http://dx.doi.org/10.1103/PhysRevA.19.1225 J. D. Parsons "Nematic ordering in a system of rods" Physical Review A '''19''' 1225-1230 (1979)]
#[http://dx.doi.org/10.1063/1.1599277 H. H. Wensink and G. J. Vroege "Isotropic–nematic phase behavior of length-polydisperse hard rods", Journal of Chemical Physics '''119''' 6868 (2003)]
#[http://dx.doi.org/10.1038/332822a0 D. Frenkel, H. N. W. Lekkerkerker and A. Stroobants "Thermodynamic stability of a smectic phase in a system of hard rods", Nature '''332''' pp. 822-823 (1988)]
==Related models==
*[[1-dimensional hard rods]]
==References==
[[category: models]]