Maier-Saupe mean field model - Revision history

Carl McBride: Added an internal link

2010-04-29T11:15:06Z

Added an internal link

← Older revision		Revision as of 13:15, 29 April 2010
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	{{Stub-general}}		{{Stub-general}}
	The '''Maier-Saupe model''' is widely used as a ~~model~~ of the [[nematic phase]].		The '''Maier-Saupe model''' <ref>W. Maier and A. Saupe "EINE EINFACHE MOLEKULARE THEORIE DES NEMATISCHEN KRISTALLINFLUSSIGEN ZUSTANDES", Zeitschrift für Naturforschung A '''13''' pp. 564-566 (1958)</ref>
			<ref>W. Maier and A. Saupe "EINE EINFACHE MOLEKULAR-STATISTISCHE THEORIE DER NEMATISCHEN KRISTALLINFLUSSIGEN PHASE .1", Zeitschrift für Naturforschung A '''14''' pp. 882-889 (1959)</ref>
			<ref>W. Maier and A. Saupe "EINE EINFACHE MOLEKULAR-STATISTISCHE THEORIE DER NEMATISCHEN KRISTALLINFLUSSIGEN PHASE .2", Zeitschrift für Naturforschung A '''15''' pp. 287-292 (1960)</ref> is widely used as a [[Mean field models \| mean field ]] description of the [[nematic phase]].
	The Maier-Saupe model is based on long-range dispersion forces, and has the form		The Maier-Saupe model is based on long-range dispersion forces, and has the form
	:<math>U (\cos \theta) = \overline u_2 \overline P_2 P_2 (\cos \theta)</math>		:<math>U (\cos \theta) = \overline u_2 \overline P_2 P_2 (\cos \theta)</math>
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	is the [[Order parameters \| uniaxial order parameter]].		is the [[Order parameters \| uniaxial order parameter]].
	==References==		==References==
	~~#W. Maier and A. Saupe "EINE EINFACHE MOLEKULARE THEORIE DES NEMATISCHEN KRISTALLINFLUSSIGEN ZUSTANDES", Zeitschrift für Naturforschung A '''13''' pp. 564- (1958)~~		<references/>
	~~#W. Maier and A. Saupe "EINE EINFACHE MOLEKULAR-STATISTISCHE THEORIE DER NEMATISCHEN KRISTALLINFLUSSIGEN PHASE .1", Zeitschrift für Naturforschung A '''14''' pp. 882- (1959)~~		'''Related reading'''
	~~#W. Maier and A. Saupe "EINE EINFACHE MOLEKULAR-STATISTISCHE THEORIE DER NEMATISCHEN KRISTALLINFLUSSIGEN PHASE .2", Zeitschrift für Naturforschung A~~ '''15''' ~~pp. 287- (1960)~~		*[http://dx.doi.org/10.1088/0022-3719/6/20/005 P A Vuillermot and M V Romerio "Exact solution of the Maier-Saupe model for a nematic liquid crystal on a one-dimensional lattice", Journal of Physics C: Solid State Physics '''6''' pp. 2922-2930 (1973)]
	#[http://dx.doi.org/10.1088/0022-3719/6/20/005 P A Vuillermot and M V Romerio "Exact solution of the Maier-Saupe model for a nematic liquid crystal on a one-dimensional lattice", Journal of Physics C: Solid State Physics '''6''' pp. 2922-2930 (1973)]		*[http://dx.doi.org/10.1038/267412b0 G. R. LUCKHURST and C. ZANNONI "Why is the Maier−Saupe theory of nematic liquid crystals so successful?", Nature '''267''' pp. 412 - 414 (1977)]
	#[http://dx.doi.org/10.1038/267412b0 G. R. LUCKHURST and C. ZANNONI "Why is the Maier−Saupe theory of nematic liquid crystals so successful?", Nature '''267''' pp. 412 - 414 (1977)]
	[[category: models]]		[[category: models]]
	[[category:liquid crystals]]		[[category:liquid crystals]]

Carl McBride: Undo revision 8057 by 86.160.170.7 (Talk) Content not ready for an article yet.

2009-04-09T12:48:15Z

Undo revision 8057 by 86.160.170.7 (Talk) Content not ready for an article yet.

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 where <math>\theta</math> is the angle between the molecular symmetry axis and the [[director]]. <math>\overline P_2</math>
 is the [[Order parameters | uniaxial order parameter]].
 ==References==
 #W. Maier and A. Saupe "EINE EINFACHE MOLEKULARE THEORIE DES NEMATISCHEN KRISTALLINFLUSSIGEN ZUSTANDES", Zeitschrift für Naturforschung A '''13'''  pp. 564- (1958)

86.160.170.7: /* References */

2009-04-08T13:44:49Z

References

@@ Line 5: / Line 5: @@
 where <math>\theta</math> is the angle between the molecular symmetry axis and the [[director]]. <math>\overline P_2</math>
 is the [[Order parameters | uniaxial order parameter]].
 ==References==
 #W. Maier and A. Saupe "EINE EINFACHE MOLEKULARE THEORIE DES NEMATISCHEN KRISTALLINFLUSSIGEN ZUSTANDES", Zeitschrift für Naturforschung A '''13'''  pp. 564- (1958)

Carl McBride at 14:03, 27 September 2007

2007-09-27T14:03:18Z

← Older revision		Revision as of 16:03, 27 September 2007
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			{{Stub-general}}
	The '''Maier-Saupe model''' is widely used as a model of the [[nematic phase]].		The '''Maier-Saupe model''' is widely used as a model of the [[nematic phase]].
	The Maier-Saupe model is based on long-range dispersion forces, and has the form		The Maier-Saupe model is based on long-range dispersion forces, and has the form

Carl McBride: Maier-Saupe model moved to Maier-Saupe mean field model

2007-06-05T14:21:41Z

Maier-Saupe model moved to Maier-Saupe mean field model

← Older revision	Revision as of 16:21, 5 June 2007
(No difference)

Carl McBride at 14:36, 26 April 2007

2007-04-26T14:36:31Z

← Older revision		Revision as of 16:36, 26 April 2007
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	:<math>U (\cos \theta) = \overline u_2 \overline P_2 P_2 (\cos \theta)</math>		:<math>U (\cos \theta) = \overline u_2 \overline P_2 P_2 (\cos \theta)</math>
	where <math>\theta</math> is the angle between the molecular symmetry axis and the [[director]]. <math>\overline P_2</math>		where <math>\theta</math> is the angle between the molecular symmetry axis and the [[director]]. <math>\overline P_2</math>
	is the [[order parameter]]		is the [[Order parameters \| uniaxial order parameter]].
	==References==		==References==
	#W. Maier and A. Saupe "EINE EINFACHE MOLEKULARE THEORIE DES NEMATISCHEN KRISTALLINFLUSSIGEN ZUSTANDES", Zeitschrift für Naturforschung A '''13''' pp. 564- (1958)		#W. Maier and A. Saupe "EINE EINFACHE MOLEKULARE THEORIE DES NEMATISCHEN KRISTALLINFLUSSIGEN ZUSTANDES", Zeitschrift für Naturforschung A '''13''' pp. 564- (1958)

Carl McBride at 16:39, 18 April 2007

2007-04-18T16:39:11Z

← Older revision		Revision as of 18:39, 18 April 2007
Line 1:		Line 1:
	The '''Maier-Saupe model''' is widely used as a model of the [[nematic phase]].		The '''Maier-Saupe model''' is widely used as a model of the [[nematic phase]].
			The Maier-Saupe model is based on long-range dispersion forces, and has the form
			:<math>U (\cos \theta) = \overline u_2 \overline P_2 P_2 (\cos \theta)</math>
			where <math>\theta</math> is the angle between the molecular symmetry axis and the [[director]]. <math>\overline P_2</math>
			is the [[order parameter]]
	==References==		==References==
	#W. Maier and A. Saupe "EINE EINFACHE MOLEKULARE THEORIE DES NEMATISCHEN KRISTALLINFLUSSIGEN ZUSTANDES", Zeitschrift für Naturforschung A '''13''' pp. 564- (1958)		#W. Maier and A. Saupe "EINE EINFACHE MOLEKULARE THEORIE DES NEMATISCHEN KRISTALLINFLUSSIGEN ZUSTANDES", Zeitschrift für Naturforschung A '''13''' pp. 564- (1958)

Carl McBride at 15:13, 17 April 2007

2007-04-17T15:13:48Z

← Older revision		Revision as of 17:13, 17 April 2007
Line 1:		Line 1:
			The '''Maier-Saupe model''' is widely used as a model of the [[nematic phase]].
	==References==		==References==
	#W. Maier and A. Saupe "EINE EINFACHE MOLEKULARE THEORIE DES NEMATISCHEN KRISTALLINFLUSSIGEN ZUSTANDES", Zeitschrift für Naturforschung A '''13''' pp. 564- (1958)		#W. Maier and A. Saupe "EINE EINFACHE MOLEKULARE THEORIE DES NEMATISCHEN KRISTALLINFLUSSIGEN ZUSTANDES", Zeitschrift für Naturforschung A '''13''' pp. 564- (1958)

Carl McBride at 15:09, 17 April 2007

2007-04-17T15:09:08Z

← Older revision		Revision as of 17:09, 17 April 2007
Line 1:		Line 1:
	==References==		==References==
			#W. Maier and A. Saupe "EINE EINFACHE MOLEKULARE THEORIE DES NEMATISCHEN KRISTALLINFLUSSIGEN ZUSTANDES", Zeitschrift für Naturforschung A '''13''' pp. 564- (1958)
	#W. Maier and A. Saupe "EINE EINFACHE MOLEKULAR-STATISTISCHE THEORIE DER NEMATISCHEN KRISTALLINFLUSSIGEN PHASE .1", Zeitschrift für Naturforschung A '''14''' pp. 882- (1959)		#W. Maier and A. Saupe "EINE EINFACHE MOLEKULAR-STATISTISCHE THEORIE DER NEMATISCHEN KRISTALLINFLUSSIGEN PHASE .1", Zeitschrift für Naturforschung A '''14''' pp. 882- (1959)
	#W. Maier and A. Saupe "EINE EINFACHE MOLEKULAR-STATISTISCHE THEORIE DER NEMATISCHEN KRISTALLINFLUSSIGEN PHASE .2", Zeitschrift für Naturforschung A '''15''' pp. 287- (1960)		#W. Maier and A. Saupe "EINE EINFACHE MOLEKULAR-STATISTISCHE THEORIE DER NEMATISCHEN KRISTALLINFLUSSIGEN PHASE .2", Zeitschrift für Naturforschung A '''15''' pp. 287- (1960)
	#[http://dx.doi.org/10.1088/0022-3719/6/20/005 P A Vuillermot and M V Romerio "Exact solution of the Maier-Saupe model for a nematic liquid crystal on a one-dimensional lattice", Journal of Physics C: Solid State Physics '''6''' pp. 2922-2930 (1973)]		#[http://dx.doi.org/10.1088/0022-3719/6/20/005 P A Vuillermot and M V Romerio "Exact solution of the Maier-Saupe model for a nematic liquid crystal on a one-dimensional lattice", Journal of Physics C: Solid State Physics '''6''' pp. 2922-2930 (1973)]
			#[http://dx.doi.org/10.1038/267412b0 G. R. LUCKHURST and C. ZANNONI "Why is the Maier−Saupe theory of nematic liquid crystals so successful?", Nature '''267''' pp. 412 - 414 (1977)]
	[[category: models]]		[[category: models]]
	[[category:liquid crystals]]		[[category:liquid crystals]]

Carl McBride at 15:01, 17 April 2007

2007-04-17T15:01:48Z

← Older revision		Revision as of 17:01, 17 April 2007
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	#W. Maier and A. Saupe "EINE EINFACHE MOLEKULAR-STATISTISCHE THEORIE DER NEMATISCHEN KRISTALLINFLUSSIGEN PHASE .1", Zeitschrift für Naturforschung A '''14''' pp. 882- (1959)		#W. Maier and A. Saupe "EINE EINFACHE MOLEKULAR-STATISTISCHE THEORIE DER NEMATISCHEN KRISTALLINFLUSSIGEN PHASE .1", Zeitschrift für Naturforschung A '''14''' pp. 882- (1959)
	#W. Maier and A. Saupe "EINE EINFACHE MOLEKULAR-STATISTISCHE THEORIE DER NEMATISCHEN KRISTALLINFLUSSIGEN PHASE .2", Zeitschrift für Naturforschung A '''15''' pp. 287- (1960)		#W. Maier and A. Saupe "EINE EINFACHE MOLEKULAR-STATISTISCHE THEORIE DER NEMATISCHEN KRISTALLINFLUSSIGEN PHASE .2", Zeitschrift für Naturforschung A '''15''' pp. 287- (1960)
			#[http://dx.doi.org/10.1088/0022-3719/6/20/005 P A Vuillermot and M V Romerio "Exact solution of the Maier-Saupe model for a nematic liquid crystal on a one-dimensional lattice", Journal of Physics C: Solid State Physics '''6''' pp. 2922-2930 (1973)]
	[[category: models]]		[[category: models]]
	[[category:liquid crystals]]		[[category:liquid crystals]]