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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 WikipediaThe 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) 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
• 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, … See more
As mentioned above in one dimension the XY model does not have a phase transition, while in two dimensions it has the Berezinski-Kosterlitz-Thouless transition See more
Wikipedia text under CC-BY-SA license WEBWe have a number of times alluded to the fact that not only the XY-model exhibit the Kosterlitz-Thouless vortex unbinding transition. Any two dimensional system that sup- …
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- PDF files of Classical XY model
WEBThe XY model, which can be obtained from the Heisenberg Hamiltonian by turning ofi the coupling between z spin components, reduces to a free theory of spinless fermions …
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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 …
WEBThe XY-model can be better understood theoretically by mapping it, exactly, to a com-pletely different looking so called SOS (Solid On Solid) model, in which the degrees …
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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 …
WEBSep 25, 2017 · Our polariton platform simulates the XY model, which can be formulated as a quadratic non-convex constrained optimization model (QNCO). The hardest instances of all mentioned problems are in...
WEBThe XY model, also known as planar rotor model is one of the most widely studied and the simplest two-dimensional spin model1 with continuous symmetry because of the inter …
WEBApr 14, 2020 · We consider the two-dimensional classical XY model on a square lattice in the thermodynamic limit using tensor renormalization group and precisely determine the …
WEBUsing spin-dynamics techniques we have performed large-scale computer simulations of the dynamic behavior of the classical three component XY model (i.e., the anisotropic …
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 …
WEBThe quantum XY spin chain is a one-dimensional statistical mechanics model used to understand the behavior of materials through their microscopic quantum spins and their …
Numerical simulation of dynamics in the XY model
WEBWe study the dynamics of the classical two-dimensional XY model via numerical simulation using both microcanonical and Langevin equations of motion.
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 …
Neural network architectures based on the classical XY model
WEBNov 30, 2021 · Classical XY model is a lattice model of statistical mechanics notable for its universality in the rich hierarchy of the optical, laser, and condensed matter systems. …
WEBThe canon-ical model exhibiting the BKT transition is the classical XY model in two dimensions, which is defined by the total energy (classical Hamiltonian) = − E cos( θi − …
WEBEver since the seminal papers by Berezinskii, Kosterlitz, and Thouless [2–4], the classical 2D XY model has been the reference model for the study of the BKT phase transition. …
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 models. …
WEBEarlier Monte-Carlo calculations on the dissipative two-dimensional XY model are extended in several directions. We study the phase diagram and the correlation functions when …
WEBVortex-Magnetic Field Duality in the Classical XY Model. We here demonstrate a useful duality between the compact (i:e: supporting vortices) XY model and the non-compact …
WEBtwo-dimensional classical XY model. This model is in-troduced by placing continuous angles f igon a square lattice and characterizing their interactions by the hamil-tonian H= …
Phase diagram of a square lattice model of XY spins with …
WEBAbstract. We study a generalization of the well-known classical two-dimensional square lattice compass model of XY spins (sometimes referred to as the 90 ∘ compass model), …
[2207.13748] The Kosterlitz-Thouless phase transition: an …
WEBJul 27, 2022 · A numerical Monte-Carlo approach to the classical XY model is presented. Finally, two physical setting that realize the celebrated Kosterlitz-Thouless phase …
Large-scale Monte Carlo simulation of two-dimensional classical …
WEBOct 23, 2012 · Yukihiro Komura, Yutaka Okabe. We study the two-dimensional classical XY model by the large-scale Monte Carlo simulation of the Swendsen-Wang multi …
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