XY model - Revision history

Carl McBride: /* See also */ Added an internal link

2016-10-04T12:15:24Z

2014-06-16T11:48:17Z

References: Added a recent publication

← Older revision		Revision as of 13:48, 16 June 2014
Line 21:		Line 21:
	*[http://dx.doi.org/10.1140/epjb/e2006-00172-3 L.A.S. Mól, A.R. Pereira, H. Chamati and S. Romano "Monte Carlo study of 2D generalized XY-models", European Physical Journal B '''50''' pp. 541-548 (2006)]		*[http://dx.doi.org/10.1140/epjb/e2006-00172-3 L.A.S. Mól, A.R. Pereira, H. Chamati and S. Romano "Monte Carlo study of 2D generalized XY-models", European Physical Journal B '''50''' pp. 541-548 (2006)]
	*[http://dx.doi.org/10.1063/1.4830400 Dhagash Mehta, Ciaran Hughes, Mario Schröck and David J. Wales "Potential energy landscapes for the 2D XY model: Minima, transition states, and pathways", Journal of Chemical Physics '''139''' 194503 (2013)]		*[http://dx.doi.org/10.1063/1.4830400 Dhagash Mehta, Ciaran Hughes, Mario Schröck and David J. Wales "Potential energy landscapes for the 2D XY model: Minima, transition states, and pathways", Journal of Chemical Physics '''139''' 194503 (2013)]
			*[http://dx.doi.org/10.1063/1.4880417 D. Mehta, C. Hughes, M. Kastner and D. J. Wales "Potential energy landscape of the two-dimensional XY model: Higher-index stationary points", Journal of Chemical Physics '''140''' 224503 (2014)]

	[[category: models]]		[[category: models]]

2014-02-28T16:04:19Z

Added a recent publication

← Older revision		Revision as of 18:04, 28 February 2014
Line 17:		Line 17:
	*[[RP(n-1) model]]		*[[RP(n-1) model]]
	==References==		==References==
	#[http://dx.doi.org/10.1140/epjb/e2006-00172-3 L.A.S. Mól, A.R. Pereira, H. Chamati and S. Romano "Monte Carlo study of 2D generalized XY-models", European Physical Journal B '''50''' pp. 541-548 (2006)]		<references/>
			;Related reading
			*[http://dx.doi.org/10.1140/epjb/e2006-00172-3 L.A.S. Mól, A.R. Pereira, H. Chamati and S. Romano "Monte Carlo study of 2D generalized XY-models", European Physical Journal B '''50''' pp. 541-548 (2006)]
			*[http://dx.doi.org/10.1063/1.4830400 Dhagash Mehta, Ciaran Hughes, Mario Schröck and David J. Wales "Potential energy landscapes for the 2D XY model: Minima, transition states, and pathways", Journal of Chemical Physics '''139''' 194503 (2013)]


	[[category: models]]		[[category: models]]

2011-07-26T10:45:38Z

XY universality class: Added an internal link

← Older revision		Revision as of 12:45, 26 July 2011
Line 11:		Line 11:
	==Random field XY model (RFXY)==		==Random field XY model (RFXY)==
	==XY universality class==		==XY universality class==
			:(''see: [[Universality classes#XY \| XY universality class]]'')

	==See also==		==See also==
	*[[Heisenberg model]]		*[[Heisenberg model]]

2008-01-22T15:14:32Z

← Older revision		Revision as of 17:14, 22 January 2008
Line 1:		Line 1:
	{{Stub-general}}		{{Stub-general}}
	The '''XY model''', also known as the ''O(2)'' model, is a Heisenberg ferromagnetic with an easy-plane anisotropy.		The '''XY model''', also known as the ''O(2)'' model because of its symmetry group, is a Heisenberg ferromagnetic with an easy-plane anisotropy. The [[Hamiltonian]] is given by

			:<math>H = -J{\sum}_{\langle i,j\rangle}\mathbf{S}_i \cdot \mathbf{S}_{j}</math>

			in other words

			:<math>H=-J{\sum}_{\langle i,j\rangle}\cos(\theta_i-\theta_j)</math>

			where the sum runs over all pairs of nearest neighbour spins, <math>\mathbf{S}</math>, and where <math>J</math> is the coupling constant.
	==Random field XY model (RFXY)==		==Random field XY model (RFXY)==
	==XY universality class==		==XY universality class==

2007-10-13T17:42:31Z

← Older revision		Revision as of 19:42, 13 October 2007
Line 2:		Line 2:
	The '''XY model''', also known as the ''O(2)'' model, is a Heisenberg ferromagnetic with an easy-plane anisotropy.		The '''XY model''', also known as the ''O(2)'' model, is a Heisenberg ferromagnetic with an easy-plane anisotropy.
	==Random field XY model (RFXY)==		==Random field XY model (RFXY)==
			==XY universality class==
	==See also==		==See also==
	*[[Heisenberg model]]		*[[Heisenberg model]]

2007-10-13T17:40:27Z

← Older revision		Revision as of 19:40, 13 October 2007
Line 1:		Line 1:
	{{Stub-general}}		{{Stub-general}}
	The '''XY model''', also known as the ''O(2)'' model, is a Heisenberg ferromagnetic with an easy-plane anisotropy.		The '''XY model''', also known as the ''O(2)'' model, is a Heisenberg ferromagnetic with an easy-plane anisotropy.
			==Random field XY model (RFXY)==
	==See also==		==See also==
	*[[Heisenberg model]]		*[[Heisenberg model]]

2007-09-27T09:03:41Z

← Older revision		Revision as of 11:03, 27 September 2007
Line 1:		Line 1:
			{{Stub-general}}
	The '''XY model''', also known as the ''O(2)'' model, is a Heisenberg ferromagnetic with an easy-plane anisotropy.		The '''XY model''', also known as the ''O(2)'' model, is a Heisenberg ferromagnetic with an easy-plane anisotropy.
	==See also==		==See also==

2007-06-28T14:02:20Z

← Older revision		Revision as of 16:02, 28 June 2007
Line 4:		Line 4:
	*[[RP(n-1) model]]		*[[RP(n-1) model]]
	==References==		==References==
			#[http://dx.doi.org/10.1140/epjb/e2006-00172-3 L.A.S. Mól, A.R. Pereira, H. Chamati and S. Romano "Monte Carlo study of 2D generalized XY-models", European Physical Journal B '''50''' pp. 541-548 (2006)]
	[[category: models]]		[[category: models]]

2007-06-25T10:30:50Z

← Older revision		Revision as of 12:30, 25 June 2007
Line 1:		Line 1:
			The '''XY model''', also known as the ''O(2)'' model, is a Heisenberg ferromagnetic with an easy-plane anisotropy.
	==See also==		==See also==
			*[[Heisenberg model]]
	*[[RP(n-1) model]]		*[[RP(n-1) model]]
	==References==		==References==
	[[category: models]]		[[category: models]]

← Older revision		Revision as of 14:15, 4 October 2016
Line 15:		Line 15:
	==See also==		==See also==
	*[[Heisenberg model]]		*[[Heisenberg model]]
			*[[Kosterlitz-Thouless transition]]
	*[[RP(n-1) model]]		*[[RP(n-1) model]]

	==References==		==References==
	<references/>		<references/>