Hard cut sphere model - Revision history

Carl McBride: moved Hard disks in a three dimensional space to Hard cut sphere model: More commonly used name

2012-06-20T12:19:28Z

moved Hard disks in a three dimensional space to Hard cut sphere model: More commonly used name

← Older revision	Revision as of 14:19, 20 June 2012
(No difference)

Carl McBride: Slight tidy

2012-06-20T11:47:58Z

Slight tidy

← Older revision		Revision as of 13:47, 20 June 2012
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	[[Image:cutHardSphere.png\|thumb\|right]]		[[Image:cutHardSphere.png\|thumb\|right]]
	'''Hard disks in a three dimensional space''' <ref>[http://dx.doi.org/10.1103/PhysRevLett.49.1089 Daan Frenkel and Rob Eppenga "Monte Carlo Study of the Isotropic-Nematic Transition in a Fluid of Thin Hard Disks", Physical Review Letters '''49''' pp. 1089-1092 (1982)]</ref> (also known as platelets or '''hard-cut spheres''') are sections of spheres which have some thickness <math>L</math>. Hard cut spheres have been used to study the [[isotropic-nematic phase transition]] <ref>[http://dx.doi.org/10.1080/00268978400101951 R. Eppenga and D. Frenkel "Monte Carlo study of the isotropic and nematic phases of infinitely thin hard platelets", Molecular Physics '''52''' pp. 1303-1334 (1984)]</ref> in [[liquid crystals]], along with the [[cubatic phase]] <ref>[http://dx.doi.org/10.1103/PhysRevE.79.031702 Peter D. Duncan, Matthew Dennison, Andrew J. Masters, and Mark R. Wilson "Theory and computer simulation for the cubatic phase of cut spheres", Physical Review E '''79''' 031702 (2009)]</ref><ref>[http://dx.doi.org/10.1103/PhysRevE.84.011702 Peter D. Duncan, Andrew J. Masters, and Mark R. Wilson "Thermodynamic stability of the cubatic phase of hard cut spheres evaluated by expanded ensemble simulations", Physical Review E '''84''' 011702 (2011)]</ref>.		'''Hard disks in a three dimensional space''' <ref>[http://dx.doi.org/10.1103/PhysRevLett.49.1089 Daan Frenkel and Rob Eppenga "Monte Carlo Study of the Isotropic-Nematic Transition in a Fluid of Thin Hard Disks", Physical Review Letters '''49''' pp. 1089-1092 (1982)]</ref> (also known as platelets or '''hard-cut spheres''') are sections of spheres which have some thickness <math>L</math>, obtained by slicing off the diametrically opposed caps of a sphere at a distance <math>L/2</math> from the equatorial plane. Hard cut spheres have been used to study the [[isotropic-nematic phase transition]] <ref>[http://dx.doi.org/10.1080/00268978400101951 R. Eppenga and D. Frenkel "Monte Carlo study of the isotropic and nematic phases of infinitely thin hard platelets", Molecular Physics '''52''' pp. 1303-1334 (1984)]</ref> in [[liquid crystals]], along with the [[Columnar phase \| columnar]] and [[cubatic phase]]s <ref>[http://dx.doi.org/10.1103/PhysRevE.79.031702 Peter D. Duncan, Matthew Dennison, Andrew J. Masters, and Mark R. Wilson "Theory and computer simulation for the cubatic phase of cut spheres", Physical Review E '''79''' 031702 (2009)]</ref><ref>[http://dx.doi.org/10.1103/PhysRevE.84.011702 Peter D. Duncan, Andrew J. Masters, and Mark R. Wilson "Thermodynamic stability of the cubatic phase of hard cut spheres evaluated by expanded ensemble simulations", Physical Review E '''84''' 011702 (2011)]</ref>.
	==See also==		==See also==
	*[[Oblate hard spherocylinders]]		*[[Oblate hard spherocylinders]]

Carl McBride: Slight tidy

2012-06-20T11:43:05Z

Slight tidy

← Older revision		Revision as of 13:43, 20 June 2012
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	~~{{stub-general}}~~
	[[Image:cutHardSphere.png\|thumb\|right]]		[[Image:cutHardSphere.png\|thumb\|right]]
	'''Hard disks in a three dimensional space''' (also known as platelets or '''hard-cut spheres''', which have some thickness <math>L</math>).		'''Hard disks in a three dimensional space''' <ref>[http://dx.doi.org/10.1103/PhysRevLett.49.1089 Daan Frenkel and Rob Eppenga "Monte Carlo Study of the Isotropic-Nematic Transition in a Fluid of Thin Hard Disks", Physical Review Letters '''49''' pp. 1089-1092 (1982)]</ref> (also known as platelets or '''hard-cut spheres''') are sections of spheres which have some thickness <math>L</math>. Hard cut spheres have been used to study the [[isotropic-nematic phase transition]] <ref>[http://dx.doi.org/10.1080/00268978400101951 R. Eppenga and D. Frenkel "Monte Carlo study of the isotropic and nematic phases of infinitely thin hard platelets", Molecular Physics '''52''' pp. 1303-1334 (1984)]</ref> in [[liquid crystals]], along with the [[cubatic phase]] <ref>[http://dx.doi.org/10.1103/PhysRevE.79.031702 Peter D. Duncan, Matthew Dennison, Andrew J. Masters, and Mark R. Wilson "Theory and computer simulation for the cubatic phase of cut spheres", Physical Review E '''79''' 031702 (2009)]</ref><ref>[http://dx.doi.org/10.1103/PhysRevE.84.011702 Peter D. Duncan, Andrew J. Masters, and Mark R. Wilson "Thermodynamic stability of the cubatic phase of hard cut spheres evaluated by expanded ensemble simulations", Physical Review E '''84''' 011702 (2011)]</ref>.
	==See also==		==See also==
	*[[Oblate hard spherocylinders]]		*[[Oblate hard spherocylinders]]
	==References==		==References==
			<references/>
	;Related reading		;Related reading
	*[http://dx.doi.org/10.1103/PhysRevLett.49.1089 Daan Frenkel and Rob Eppenga "Monte Carlo Study of the Isotropic-Nematic Transition in a Fluid of Thin Hard Disks", Physical Review Letters '''49''' pp. 1089-1092 (1982)]
	*[http://dx.doi.org/10.1080/00268978400101951 R. Eppenga and D. Frenkel "Monte Carlo study of the isotropic and nematic phases of infinitely thin hard platelets", Molecular Physics '''52''' pp. 1303-1334 (1984)]
	*[http://dx.doi.org/10.1103/PhysRevA.45.5632 J. A. C. Veerman and D. Frenkel "Phase behavior of disklike hard-core mesogens", Physical Review A '''45''' 5632-5648 (1992)]		*[http://dx.doi.org/10.1103/PhysRevA.45.5632 J. A. C. Veerman and D. Frenkel "Phase behavior of disklike hard-core mesogens", Physical Review A '''45''' 5632-5648 (1992)]
	*[http://dx.doi.org/10.1103/PhysRevE.79.031702 Peter D. Duncan, Matthew Dennison, Andrew J. Masters, and Mark R. Wilson "Theory and computer simulation for the cubatic phase of cut spheres", Physical Review E '''79''' 031702 (2009)]
	*[http://dx.doi.org/10.1080/00268970903160605 H. H. Wensink and H. N. W. Lekkerkerker "Phase diagram of hard colloidal platelets: a theoretical account", Molecular Physics '''107''' pp. 2111-2118 (2009)]		*[http://dx.doi.org/10.1080/00268970903160605 H. H. Wensink and H. N. W. Lekkerkerker "Phase diagram of hard colloidal platelets: a theoretical account", Molecular Physics '''107''' pp. 2111-2118 (2009)]
	*[http://dx.doi.org/10.1103/PhysRevE.84.011702 Peter D. Duncan, Andrew J. Masters, and Mark R. Wilson "Thermodynamic stability of the cubatic phase of hard cut spheres evaluated by expanded ensemble simulations", Physical Review E '''84''' 011702 (2011)]
	*[http://dx.doi.org/10.1080/00268976.2011.649794 L. Wu, H.H. Wensink, G. Jackson and E.A. Müller "A generic equation of state for liquid crystalline phases of hard-oblate particles", Molecular Physics '''110''' pp. 1269-1288 (2012)]		*[http://dx.doi.org/10.1080/00268976.2011.649794 L. Wu, H.H. Wensink, G. Jackson and E.A. Müller "A generic equation of state for liquid crystalline phases of hard-oblate particles", Molecular Physics '''110''' pp. 1269-1288 (2012)]

Carl McBride: Added an image of the model

2012-06-20T11:33:26Z

Added an image of the model

← Older revision		Revision as of 13:33, 20 June 2012
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	{{stub-general}}		{{stub-general}}
			[[Image:cutHardSphere.png\|thumb\|right]]
	'''Hard disks in a three dimensional space''' (also known as platelets or '''hard-cut spheres''', which have some thickness <math>L</math>).		'''Hard disks in a three dimensional space''' (also known as platelets or '''hard-cut spheres''', which have some thickness <math>L</math>).
	==See also==		==See also==

Carl McBride: /* References */ Added a couple of recent publications

2012-06-20T10:48:51Z

References: Added a couple of recent publications

← Older revision		Revision as of 12:48, 20 June 2012
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	*[http://dx.doi.org/10.1103/PhysRevA.45.5632 J. A. C. Veerman and D. Frenkel "Phase behavior of disklike hard-core mesogens", Physical Review A '''45''' 5632-5648 (1992)]		*[http://dx.doi.org/10.1103/PhysRevA.45.5632 J. A. C. Veerman and D. Frenkel "Phase behavior of disklike hard-core mesogens", Physical Review A '''45''' 5632-5648 (1992)]
	*[http://dx.doi.org/10.1103/PhysRevE.79.031702 Peter D. Duncan, Matthew Dennison, Andrew J. Masters, and Mark R. Wilson "Theory and computer simulation for the cubatic phase of cut spheres", Physical Review E '''79''' 031702 (2009)]		*[http://dx.doi.org/10.1103/PhysRevE.79.031702 Peter D. Duncan, Matthew Dennison, Andrew J. Masters, and Mark R. Wilson "Theory and computer simulation for the cubatic phase of cut spheres", Physical Review E '''79''' 031702 (2009)]
	*[http://dx.doi.org/10.1080/00268970903160605 H. H. Wensink and H. N. W. Lekkerkerker "Phase diagram of hard colloidal platelets: a theoretical account", Molecular Physics '''107''' pp. 2111-2118 (2009)]		*[http://dx.doi.org/10.1080/00268970903160605 H. H. Wensink and H. N. W. Lekkerkerker "Phase diagram of hard colloidal platelets: a theoretical account", Molecular Physics '''107''' pp. 2111-2118 (2009)]
			*[http://dx.doi.org/10.1103/PhysRevE.84.011702 Peter D. Duncan, Andrew J. Masters, and Mark R. Wilson "Thermodynamic stability of the cubatic phase of hard cut spheres evaluated by expanded ensemble simulations", Physical Review E '''84''' 011702 (2011)]
			*[http://dx.doi.org/10.1080/00268976.2011.649794 L. Wu, H.H. Wensink, G. Jackson and E.A. Müller "A generic equation of state for liquid crystalline phases of hard-oblate particles", Molecular Physics '''110''' pp. 1269-1288 (2012)]





	[[Category: Models]]		[[Category: Models]]
	[[Category: liquid crystals]]		[[Category: liquid crystals]]

Carl McBride: Added an internal link

2011-03-02T12:45:46Z

Added an internal link

← Older revision		Revision as of 14:45, 2 March 2011
Line 1:		Line 1:
	{{stub-general}}		{{stub-general}}
	'''Hard disks in a three dimensional space''' (also known as platelets or '''hard-cut spheres''', which have some thickness <math>L</math>).		'''Hard disks in a three dimensional space''' (also known as platelets or '''hard-cut spheres''', which have some thickness <math>L</math>).
			==See also==
			*[[Oblate hard spherocylinders]]
	==References==		==References==
			;Related reading
	*[http://dx.doi.org/10.1103/PhysRevLett.49.1089 Daan Frenkel and Rob Eppenga "Monte Carlo Study of the Isotropic-Nematic Transition in a Fluid of Thin Hard Disks", Physical Review Letters '''49''' pp. 1089-1092 (1982)]		*[http://dx.doi.org/10.1103/PhysRevLett.49.1089 Daan Frenkel and Rob Eppenga "Monte Carlo Study of the Isotropic-Nematic Transition in a Fluid of Thin Hard Disks", Physical Review Letters '''49''' pp. 1089-1092 (1982)]
	*[http://dx.doi.org/10.1080/00268978400101951 R. Eppenga and D. Frenkel "Monte Carlo study of the isotropic and nematic phases of infinitely thin hard platelets", Molecular Physics '''52''' pp. 1303-1334 (1984)]		*[http://dx.doi.org/10.1080/00268978400101951 R. Eppenga and D. Frenkel "Monte Carlo study of the isotropic and nematic phases of infinitely thin hard platelets", Molecular Physics '''52''' pp. 1303-1334 (1984)]

Carl McBride: New page: {{stub-general}} '''Hard disks in a three dimensional space''' (also known as platelets or '''hard-cut spheres''', which have some thickness $L$ ). ==References== *[http://dx.doi...

2009-09-29T12:50:41Z

New page: {{stub-general}} '''Hard disks in a three dimensional space''' (also known as platelets or '''hard-cut spheres''', which have some thickness <math>L</math>). ==References== *[http://dx.doi...

New page

{{stub-general}}
'''Hard disks in a three dimensional space''' (also known as platelets or '''hard-cut spheres''', which have some thickness <math>L</math>).
==References==
*[http://dx.doi.org/10.1103/PhysRevLett.49.1089 Daan Frenkel and Rob Eppenga "Monte Carlo Study of the Isotropic-Nematic Transition in a Fluid of Thin Hard Disks", Physical Review Letters '''49''' pp. 1089-1092 (1982)]
*[http://dx.doi.org/10.1080/00268978400101951 R. Eppenga and D. Frenkel "Monte Carlo study of the isotropic and nematic phases of infinitely thin hard platelets", Molecular Physics '''52''' pp. 1303-1334 (1984)]
*[http://dx.doi.org/10.1103/PhysRevA.45.5632 J. A. C. Veerman and D. Frenkel "Phase behavior of disklike hard-core mesogens", Physical Review A '''45''' 5632-5648 (1992)]
*[http://dx.doi.org/10.1103/PhysRevE.79.031702 Peter D. Duncan, Matthew Dennison, Andrew J. Masters, and Mark R. Wilson "Theory and computer simulation for the cubatic phase of cut spheres", Physical Review E '''79''' 031702 (2009)]
*[http://dx.doi.org/10.1080/00268970903160605 H. H. Wensink and H. N. W. Lekkerkerker "Phase diagram of hard colloidal platelets: a theoretical account", Molecular Physics '''107''' pp. 2111-2118 (2009)]
[[Category: Models]]
[[Category: liquid crystals]]

Hard cut sphere model - Revision history

Carl McBride: moved Hard disks in a three dimensional space to Hard cut sphere model: More commonly used name

Carl McBride: Slight tidy

Carl McBride: Slight tidy

Carl McBride: Added an image of the model

Carl McBride: /* References */ Added a couple of recent publications

Carl McBride: Added an internal link

Carl McBride: New page: {{stub-general}} '''Hard disks in a three dimensional space''' (also known as platelets or '''hard-cut spheres''', which have some thickness L). ==References== *[http://dx.doi...

Carl McBride: New page: {{stub-general}} '''Hard disks in a three dimensional space''' (also known as platelets or '''hard-cut spheres''', which have some thickness $L$ ). ==References== *[http://dx.doi...