The classical XY model (sometimes also called classical rotor (rotator) model or O(2) model) is a lattice model of statistical mechanics. In general,...
31 KB (4,861 words) - 23:31, 19 June 2025
truncated correlations decay algebraically. Heisenberg model (quantum) Ising model Classical XY model Magnetism Ferromagnetism Landau–Lifshitz equation Ishimori...
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Kuramoto model Maximal evenness Order operator Spin model t-J model Classical XY model ZN model See Gallavotti (1999), Chapters VI-VII. Ernst Ising, Contribution...
88 KB (13,240 words) - 00:12, 11 June 2025
the classical Heisenberg model. For n = 2 {\displaystyle n=2} , this is the continuum limit of the classical XY model. See also the n-vector model and...
22 KB (4,143 words) - 19:08, 31 January 2025
Sine-Gordon equation (redirect from Sine-Gordon model)
Coulomb gas of vortices and anti-vortices in the continuous classical XY model, which is a model of magnetism. The Kosterlitz–Thouless transition for vortices...
34 KB (4,704 words) - 18:45, 27 May 2025
includes the use of polaritons to simulate structures such as the classical XY model. Berloff grew up in Russia. She earned her undergraduate degrees of...
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generalization of the Ising model, XY model and Heisenberg model. In the n-vector model, n-component unit-length classical spins s i {\displaystyle \mathbf...
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two-dimensional classical XY model. Besides, through Ginibre inequality, Kunz and Pfister proved the presence of a phase transition for the ferromagnetic XY model with...
13 KB (2,239 words) - 21:12, 14 April 2025
Berezinskii–Kosterlitz–Thouless transition (category Lattice models)
(BKT) transition is a phase transition of the two-dimensional (2-D) XY model in statistical physics. It is a transition from bound vortex-antivortex...
15 KB (2,225 words) - 02:26, 19 June 2025
field theory. Ising model ANNNI model Potts model Chiral Potts model XY model Classical Heisenberg model n-vector model Vertex model Toda lattice cellular...
9 KB (1,478 words) - 18:14, 13 April 2025
A spin model is a mathematical model used in physics primarily to explain magnetism. Spin models may either be classical or quantum mechanical in nature...
5 KB (543 words) - 22:53, 24 November 2023
Total least squares (category Regression models)
_{Y}{\begin{bmatrix}V_{XY}\\V_{YY}\end{bmatrix}}^{*}=-[X\;Y]{\begin{bmatrix}V_{XY}\\V_{YY}\end{bmatrix}}{\begin{bmatrix}V_{XY}\\V_{YY}\end{bmatrix}}^{*}...
20 KB (3,298 words) - 16:34, 28 October 2024
Mechanics (book) Classical XY model Classical and Quantum Gravity Classical central-force problem Classical electromagnetism Classical electromagnetism...
28 KB (2,788 words) - 18:26, 23 February 2025
but forsaking any attempt to explain radiation according to classical physics. The model's key success lies in explaining the Rydberg formula for hydrogen's...
75 KB (10,385 words) - 21:41, 4 June 2025
Mermin–Wagner theorem (section XY model transition)
transitions of Kosterlitz–Thouless–type may be allowed. This is the case for the XY model where the continuous (internal) O(2) symmetry on a spatial lattice of dimension...
31 KB (4,374 words) - 14:58, 9 April 2025
Paris-Sud 11 University. He directed the thesis of Monique Combescure. Classical XY model Death of C. Foias and J. Ginibre In Memoriam: Jean Ginibre (1938-2020)...
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Atomic orbital (redirect from Orbital atom model)
orbitals, and are often labeled using associated harmonic polynomials (e.g., xy, x2 − y2) which describe their angular structure. An orbital can be occupied...
84 KB (10,931 words) - 22:10, 19 June 2025
Logistic function (redirect from Logistic model of population growth)
as the activation function to the result; this model can be seen as a "smoothed" variant of the classical threshold neuron. A common choice for the activation...
56 KB (8,069 words) - 23:47, 14 June 2025
Satisfiability (category Model theory)
R(a_{0},a_{1})} ∀ x y ( R ( x , y ) → ∃ z R ( y , z ) ) {\displaystyle \forall xy(R(x,y)\rightarrow \exists zR(y,z))} ∀ x y z ( R ( y , x ) ∧ R ( z , x ) →...
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means that the classical result is reached. From the classical relation of the transverse resistivity ρ x y = B e n 2 D {\textstyle \rho _{xy}={\frac {B}{en_{\rm...
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xy}Y_{xy}&Q_{xy}-M_{xy}+Q_{xx}Y_{xy}+Q_{xy}Y_{yy}\\Q_{yx}-M_{yx}+Q_{yx}Y_{xx}+Q_{yy}Y_{xy}&Q_{yy}-M_{yy}+Q_{yx}Y_{xy}+Q_{yy}Y_{yy}\end{bmatrix}}}...
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Chaos theory (redirect from Classical chaos)
language models as classical deterministic chaotic systems poses challenges, chaos-inspired approaches and techniques (such as ensemble modeling) may be...
115 KB (13,059 words) - 09:11, 9 June 2025
| Y | ) otherwise {\displaystyle CF(x,y)={\begin{cases}X+Y-XY&{\text{if }}X,Y>0\\X+Y+XY&{\text{if }}X,Y<0\\{\frac {X+Y}{1-\min(|X|...
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for true, and a third non-integer "maybe" symbol such as ?, #, 1/2, or xy. Inside a ternary computer, ternary values are represented by ternary signals...
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Möbius plane (category Classical geometry)
models. The classical real Möbius plane can be considered as the geometry of circles on the unit sphere. The essential advantage of the space model is...
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Traditional Chinese medicine (redirect from Classical Chinese medicine)
Wayback Machine Donica Publishing Ltd. 1st edition. ISBN 978-1-901149-02-9 Wu XY, Tang JL, Mao C, Yuan JQ, Qin Y, Chung VC (2013). "Systematic reviews and...
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y}{\mathrm {d} t}}&=x(\rho -z)-y,\\[6pt]{\frac {\mathrm {d} z}{\mathrm {d} t}}&=xy-\beta z.\end{aligned}}} The equations relate the properties of a two-dimensional...
45 KB (5,751 words) - 05:15, 2 June 2025
_{xx}={\frac {\rho _{xx}}{\rho _{xx}^{2}+\rho _{xy}^{2}}},\quad \sigma _{xy}={\frac {-\rho _{xy}}{\rho _{xx}^{2}+\rho _{xy}^{2}}}.} If the electric field is parallel...
78 KB (8,181 words) - 17:20, 24 May 2025
ρ X Y {\displaystyle \rho ^{XY}} and ρ Y := tr X ( ρ X Y ) {\displaystyle \rho ^{Y}:=\operatorname {tr} _{X}(\rho ^{XY})} , which are in the same form...
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This is made possible through heteromorphic sex chromosomes expressed as XY. Silene recently evolved sex chromosomes 5-10 million years ago and are widely...
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