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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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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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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 Heisenberg …
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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 · Nature Materials - Lattices of exciton-polariton condensates provide the base for a simulator that can be used to find the global …
- Author: Natalia G. Berloff, Matteo Silva, Kirill Kalinin, Alexis Askitopoulos, Julian D. Töpfer, Pasquale Ci...
- Publish Year: 2017
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. …
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 …
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 group …
WebNov 1, 1996 · Using spin-dynamics techniques we have performed large-scale computer simulations of the dynamic behavior of the classical three component XY model (i.e., the …
WebINTRODUCTION. Spin systems are useful in statistical mechanics for studying emergent behavior of systems composed of a large number of particles. Each such model consists …
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. …
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 …
WebVortex-Magnetic Field Duality in the Classical XY Model. Michael Pretko 5/16/2014. Abstract We here demonstrate a useful duality between the compact (i:e: supporting vortices) XY …
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 …
Approaching the Kosterlitz-Thouless transition for the classical …
WebDec 26, 2019 · Abstract. We apply variational tensor-network methods for simulating the Kosterlitz-Thouless phase transition in the classical two-dimensional XY model. In …
Scalar susceptibility of a diluted classical XY model
Web5 days ago · We analyze the amplitude fluctuations in a diluted 3D classical XY model near the magnetic phase transition, motivated by the unusual localization properties of the …
Large-scale Monte Carlo simulation of two-dimensional classical …
WebAug 27, 2012 · classical XY model, Kosterlitz-Thouless transition, Monte Carlo simulation, cluster algorithm, finite-size scaling, parallel computing, multiple GPU calculation. The …
WebWe investigate the dynamical phases and phase transitions arising in a classical two-dimensional anisotropic XY model under the influence of a periodically driven temporal …
Tensor renormalization group study of classical
WebAbstract. Using the tensor renormalization group method based on the higher-order singular value decomposition, we have studied the thermodynamic properties of the continuous …
Classical origins of Landau-incompatible transitions - NASA/ADS
WebContinuous phase transitions where symmetry is spontaneously broken are ubiquitous in physics and often found between `Landau-compatible' phases where residual …
[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 · Abstract: We study the two-dimensional classical XY model by the large-scale Monte Carlo simulation of the Swendsen-Wang multi-cluster algorithm using multiple …
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