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- Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.The classical XY model (sometimes also called classical rotor (rotator) model or O (2) model) is a lattice model of statistical mechanics. In general, the XY model can be seen as a specialization of Stanley's n -vector model for n = 2.en.wikipedia.org/wiki/Classical_XY_modelThe Classical XY-Model is a statistical mechanical model of spin interactions which may be used to predict magnetic behaviour.www.maths.tcd.ie/~robinson/labs/monte.pdf
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See all on WikipediaClassical XY model - Wikipedia
The classical XY model (sometimes also called classical rotor (rotator) model or O(2) model) is a lattice model of statistical mechanics. In general, the XY model can be seen as a specialization of Stanley's n-vector model for n = 2. See more
Given a D-dimensional lattice Λ, per each lattice site j ∈ Λ there is a two-dimensional, unit-length vector sj = (cos θj, sin θj)
The spin configuration, s = (sj)j ∈ Λ is an assignment of the … See more• The existence of the thermodynamic limit for the free energy and spin correlations were proved by Ginibre, extending to this case the See more
As mentioned above in one dimension the XY model does not have a phase transition, while in two dimensions it has the See more
• H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena, (Oxford University Press, Oxford and New York 1971);
• H. Kleinert, Gauge Fields in Condensed Matter, Vol. I, " SUPERFLOW AND VORTEX LINES", … See moreWikipedia text under CC-BY-SA license WEBThe interaction between the topological charges depends in all cases logarithmically on the spatial separation and this leads to some very general collective behaviour, most …
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- Studies of classical xy model
WEBXY model. The second part of the paper is devoted to more advanced aspects of the XY model, such as the efiects of anisotropy and study of short, intermediate and long …
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WEB2 XY model In the classical xy-model, the variables are two-dimensional unit vectors ~s i on each lattice site, equivalent to an angle θ. This model is a limiting case of the …
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Critical analysis of two-dimensional classical XY model
WEBAug 6, 2020 · The XY model, also known as planar rotor model is one of the most widely studied and the simplest two-dimensional spin model 1 with continuous symmetry …
Realizing the classical XY Hamiltonian in polariton …
WEBSep 25, 2017 · Nature Materials - Lattices of exciton-polariton condensates provide the base for a simulator that can be used to find the global minimum of the classical XY Hamiltonian.
WEBWe consider the two-dimensional classical XY model on a square lattice in the thermody-namic limit using tensor renormalization group and precisely determine the critical tem …
WEBThe XY-model has true dynamics which can be determined by integrating the equations of motion for each spin; its critical dynamics has been studied theoretically [7, 8, 9, 10] with …
Critical analysis of two-dimensional classical XY model
WEBApr 14, 2020 · High Energy Physics - Lattice. We consider the two-dimensional classical XY model on a square lattice in the thermodynamic limit using tensor renormalization …
Critical dynamics in the two-dimensional classical XY model: A …
WEBNov 1, 1996 · Abstract. Using spin-dynamics techniques we have performed large-scale computer simulations of the dynamic behavior of the classical three component XY …
WEB1.1 The XY-Model The Classical XY-Model is a statistical mechanical model of spin interactions which may be used to predict magnetic behaviour. For a two dimensional …
WEBclassical XY model are highlighted. Subsequently, the R-W rep. of the XY model is introduced and used to study the behaviour of correlations in an external mag. eld and to …
WEBIn this paper, I explicitly demonstrated the mapping between 0d quantum and 1d classical Ising, 1d quantum and 2d classical XY, and 2d quantum and 3d classical Ising …
WEBTo systematically study the interplay between vortices and spin-wave excitations, we introduce a modified XY model with increased vortex fugacity.
WEBBerezinskii-Kosterlitz-Thouless transition of the classical XY model is reinvestigated, combining the tensor network renormalization (TNR) and the level spectroscopy method …
Critical behavior of the double layer classical XY-model
WEBAug 1, 1980 · The partition function of a double layer classical nearest neighbor XY-model is expressed in terms of three coupled Coulomb gases. Renormalization-group …
Critical properties of the classical XY and classical Heisenberg …
WEBMar 1, 1997 · Critical properties of the classical XY and classical Heisenberg models: A renormalization group study - ScienceDirect. Physica A: Statistical Mechanics and its …
WEBAbstract. Earlier Monte-Carlo calculations on the dissipative two-dimensional XY model are extended in several directions. We study the phase diagram and the correlation …
WEBIn this chapter we discuss a class of classical two dimensional statistical models, known as the uniformly frustrated XY model, which serves as a model for describing behavior in a …
WEBMichael Pretko. 5/16/2014. Abstract. We here demonstrate a useful duality between the compact (i:e: supporting vortices) XY model and the non-compact XY model with a …
classical XY model - YouTube
WEBOct 10, 2016 · Monte-carlo simulation (Glauber dynamics) of a two dimensional XY model. Vortices are marked in blue and green. The heatmap indicates how much energy …
Scalar susceptibility of a diluted classical XY model
WEBWe analyze the amplitude fluctuations in a diluted 3D classical XY model near the magnetic phase transition, motivated by the unusual localization properties of the …
[2207.13748] The Kosterlitz-Thouless phase transition: an …
WEBJul 27, 2022 · Victor Drouin-Touchette. This is a set of notes recalling some of the most important results on the XY model from the ground up. They are meant for a junior …
Large-scale Monte Carlo simulation of two-dimensional classical …
WEBOct 23, 2012 · We study the two-dimensional classical XY model by the large-scale Monte Carlo simulation of the Swendsen-Wang multi-cluster algorithm using multiple GPUs on …
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