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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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- PDF files 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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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 …
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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Realizing the classical XY Hamiltonian in polariton …
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...
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 dynamics in the two-dimensional classical
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 …
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 …
Numerical simulation of dynamics in the XY model
WEBAbstract. We 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 …
WEBand Thouless [2–4], the classical 2D XY model has been the reference model for the study of the BKT phase transition. The model describes the ferromagnetic nearest …
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. We …
WEBINTRODUCTION. Spin systems are useful in statistical mechanics for studying emergent behavior of systems composed of a large number of particles. Each such model …
Critical analysis of two-dimensional classical XY model
WEBApr 14, 2020 · Abstract: We consider the two-dimensional classical XY model on a square lattice in the thermodynamic limit using tensor renormalization group and precisely …
WEBBerezinskii-Kosterlitz-Thouless transition of the classical XY model is reinvestigated, combining the tensor network renormalization (TNR) and the level spectroscopy method …
WEBthe classical system size is proportional to the quantum inverse temperature, and the quantum energy gap and classical correlation length are inversely related. …
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 …
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 …
WEBHistorically, one of the crucial results in estab- lishing this viewpoint was the phase transition in the two-dimensional classical XY model. This model is in- troduced by …
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 · Abstract: 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 researcher wanting to get …
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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