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Classical XY model - Wikipedia
• The existence of the thermodynamic limit for the free energy and spin correlations were proved by Ginibre, extending to this case the Griffiths inequality.
• Using the Griffiths inequality in the formulation of Ginibre, Aizenman and Simon proved that the two point spin correlation of the ferromagnetics XY model in dimension D, coupling J > 0 and inverse temperature β is dominated by (i.e. has an upper boundWikipedia · Text under CC-BY-SA license- Estimated Reading Time: 9 mins
Ising model - Wikipedia
• Ising model at The Net Advance of Physics
• Barry Arthur Cipra, "The Ising model is NP-complete", SIAM News, Vol. 33, No. 6; online edition (.pdf)
• Science World article on the Ising Model
• A dynamical 2D Ising java applet by UCSCWikipedia · Text under CC-BY-SA license- Estimated Reading Time: 9 mins
WEBFeb 6, 2018 · In this paper, we will focus on employing the rotating-wave approximation to go from the transverse- eld Ising model to the XY model, which is given by the following …
WEBRecent experiments have investigated the XY model via its equivalence with the transverse-field Ising model in the large field limit [6] as suggested by a recent theory paper to …
WEBIsing (Z. Physik, 31, 253, 1925) introduced a model consisting of a lattice of \spin" variables si, which can only take the values +1 (") and 1 (#). Every spin interacts with its nearest …
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100 years of the Ising model | Nature Reviews Physics
WEB1 day ago · Metrics. In his 1924 PhD thesis, Ernst Ising solved a 1D version of a model for magnetic materials that had been put forward a few years earlier by his supervisor, …
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 …
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Abstract - arXiv.org
WEBthe XY/Ising spin chain in Eq. 3 into a quadratic spinless fermion model: Hb= − XL j=1 (Jx j + J y)ˆc †ˆc +1 + (J x j −J )ˆccˆ + H.c. + XL j=1 h j(2ˆn −1) , (4) where ˆc† j creates a …
A model for changing land use | Nature Reviews Physics
WEB1 day ago · Mathematical models can help understand and predict how land use will change, but many models either don’t address cause-and-effect or instead go into a lot …
The Ising Model: Brief Introduction and Its Application
WEBApr 14, 2019 · This chapter gives a brief introduction to Ising model and its applications, highlighting the developments in the field of magnetism relevant to the area of solid state physics. Keywords. surface-directed …
Measuring interactions in a circadian clock - Nature
WEB1 day ago · To understand the interactions behind these correlations, Han et al. construct an Ising-like model in which each monomer is represented by a ‘spin’ with 2 states: …
Uncovering gauge-dependent critical order-parameter …
WEB7 hours ago · We study the O (N) * transitions that occur in the 3D Z 2-gauge N-vector model and the analogous Ising * transitions occurring in the 3D Z 2-gauge Higgs model, …
One-way deficit and quantum phase transitions in XY model
WEBNov 29, 2018 · In this paper, we calculate the one-way deficit of the thermal ground states of two adjacent spins in the bulk of the XY model and its extended model, the extended …
Relationship between the transverse-field Ising model and the XY …
WEBNov 13, 2017 · Relationship between the transverse-field Ising model and the XY model via the rotating-wave approximation. In a large transverse field, there is an energy cost …
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 …
Relationship between the transverse-field Ising model and the XY …
WEBKiely, Thomas G., and Freericks, J. K. Relationship between the transverse-field Ising model and the XY model via the rotating-wave approximation. Physical Review A 97.2 …
The non-reciprocal Ising model - arXiv.org
WEB2 days ago · Monte-Carlo simulations.— To go beyond the mean-field description, we perform large-scale Monte-Carlo (MC) simulations of the non-reciprocal Ising model in …
Ising Model - an overview | ScienceDirect Topics
WEBThe Ising model is a model in statistical mechanics to study the magnetic dipole moments of atomic spins. The spins are arranged in a lattice, and only neighboring spins are …
WEBIsing, 2d XY, and 3d Ising models. These examples respectively illustrate the general features of the classical/quantum correspondence, a Berry phase term, and the role of …
ising_model.pdf | Statistical Physics II - MIT OpenCourseWare
WEBExplains Ising model with the help of phase transition and GI theory, mean-field theory with help of phase diagram and applications of GI theory.
Critical temperature difference between Ising and XY model
WEBIn particular, if $\beta_c^{XY}$ denotes the inverse temperature at which the Kosterlitz-Thouless phase transition occurs, then $\beta_c^{XY}\geq 2\beta_c^{I}$, where …
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XY model - arXiv.org
WEBThe transverse-field XY model in one dimension is a well-known spin model for which the ground state properties and excitation spectrum are known exactly. The model has an …
2D XY model - The Public's Library and Digital Archive
WEBOct 11, 2015 · Monte-Carlo simulations of spins dynamics in the XY magnetic model. Similar to the Ising model spins with different orientation φ are painted in different colors …
Ising-like model predicts close elections - Nature
WEB1 day ago · The model used by Devauchelle et al. is based on an Ising model on a triangular lattice, in which each spin represents the opinion of a voter. (The model …
WEBXY model and the generalized version. In 2007, Cenke Xu [13] established a mapping from the two-component Bose-Hubbard model [14] to the double-layer XY model with …
Volume 6 Issue 9, September 2024 - Nature
WEB1 day ago · Volume 6 Issue 9, September 2024. The cover of this issue is a celebration of 100 years since Ernst Ising solved the 1D version of the Ising model. See our In …
The square lattice Ising model with quenched surface disorder
WEB4 days ago · Using exact enumeration, the Casimir amplitude and the Casimir force are calculated for the square lattice Ising model with quenched surface disorder on one …
Ising Model and XY Model - DocsLib
WEBThe Ising model is one of the simplest and most fundamental models of statistical mechanics. It can be used to describe such diverse phenomena as magnets; liquid/gas …
Machine learning of phases and structures for model systems in …
WEB19 hours ago · Machine-learning methods, particularly supervised [] and unsupervised learning techniques [], have in the last years appeared in physics as a novel strategy to …
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