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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)
The spin … 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, … See moreWikipedia text under CC-BY-SA license 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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- Studies of what is the classical xy model in statistics?
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 …
WebAug 5, 2012 · We illustrate the concepts with simple approximations in the language of classical spin models in the first section, treating in more detail the XY -model as an …
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 …
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 …
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 …
WebSep 27, 2017 · We discuss spin models on complete graphs in the mean-field (infinite-vertex) limit, especially the classical XY model, the Toy model of the Higgs sector, and …
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 …
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= X hiji …
Critical analysis of two-dimensional classical XY model
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 …
Classical XY model | Semantic Scholar
WebThe classical XY model (sometimes also called classical rotor (rotator) model or O(2) model) is a lattice model of statistical mechanics. It is the special case of the n-vector model …
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- …
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. …
Classical Spin Models: An Introduction | SpringerLink
WebOct 26, 2021 · The model with N = 1 is the Ising model, the model with N = 2 is known as XY model (rotor model), and the model with N = 3 is referred to as O(3)-model or …
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 …
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 − …
On Random Field Induced Ordering in the Classical XY Model
WebNov 23, 2010 · Consider the classical XY model in a weak random external field pointing along the Y axis with strength ε. We study the behavior of this model as the range of the …
WebWe study the phase diagram and the correlation functions when dissipation is very small, where it has properties of the classical 3D-XY transition, i.e. one with a dynamical …
Classical Statistic - an overview | ScienceDirect Topics
WebClassical statistics and its methods deal with randomness, but there are cases where the data at hand are indeterminate or vague or ambiguous rather than random. In such …
[cond-mat/0502556] The two dimensional XY model at the …
WebFeb 23, 2005 · We study the classical XY (plane rotator) model at the Kosterlitz-Thouless phase transition. We simulate the model using the single cluster algorithm on square …
[2405.09676] The radius of statistical efficiency - arXiv.org
Web2 days ago · Classical results in asymptotic statistics show that the Fisher information matrix controls the difficulty of estimating a statistical model from observed data. In this …
[2402.07505] Dynamical phase transitions in $XY$ model: a …
WebFeb 12, 2024 · We investigate the dynamical phases and phase transitions arising in a classical two-dimensional anisotropic XY model under the influence of a periodically …
[2401.07508] Phase diagram of a square lattice model of XY …
WebJan 15, 2024 · 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 …
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