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Square-lattice Ising model

Known as: Square lattice Ising model 
In statistical mechanics, the two-dimensional square-lattice Ising model is a simple model of interacting magnetic spins. The model is notable for… Expand
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Related topics

Related topics

3 relations
Ising modelKramers–Wannier dualityPotts model

Papers overview

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2017
2017
The square lattice Ising model on the rectangle I: finite systems
The partition function of the square lattice Ising model on the rectangle with open boundary conditions in both directions is… Expand
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2010
2010
High-order Fuchsian equations for the square lattice Ising model: χ(6)
This paper deals with , the six-particle contribution to the magnetic susceptibility of the square lattice Ising model. We have… Expand
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2010
2010
Square lattice Ising model $\tilde{\chi}^{(5)}$ ODE in exact arithmetic
We obtain in exact arithmetic the order 24 linear differential operator $L_{24}$ and right hand side $E^{(5)}$ of the… Expand
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Highly Cited
2009
Highly Cited
2009
GPU accelerated Monte Carlo simulation of the 2D and 3D Ising model
The compute unified device architecture (CUDA) is a programming approach for performing scientific calculations on a graphics… Expand
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2008
2008
Experimental mathematics on the magnetic susceptibility of the square lattice Ising model
We calculate very long low- and high-temperature series for the susceptibility χ of the square lattice Ising model as well as… Expand
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2007
2007
FAST TRACK COMMUNICATION: Isomonodromic deformation theory and the next-to-diagonal correlations of the anisotropic square lattice Ising model
In 1980, Jimbo and Miwa evaluated the diagonal two-point correlation function of the square lattice Ising model as a τ-function… Expand
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2006
2006
Beyond series expansions: mathematical structures for the susceptibility of the square lattice Ising model
We first study the properties of the Fuchsian ordinary differential equations for the three and four-particle contributions ?(3… Expand
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2005
2005
Square lattice Ising model susceptibility: connection matrices and singular behaviour of χ (3) and χ (4)
We present a simple, but efficient, way to calculate connection matrices between sets of independent local solutions, defined at… Expand
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2001
2001
The Susceptibility of the Square Lattice Ising Model: New Developments
We have made substantial advances in elucidating the properties of the susceptibility of the square lattice Ising model. We… Expand
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1980
1980
The square lattice Ising model with a free surface
Using the appropriately generalised finite lattice method, series expansions of the layer (xl) and local (xll) susceptibilities… Expand
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