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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… (More)
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Topic mentions per year

Topic mentions per year

1985-2017
02419852017

Related topics

Related topics

3 relations
Ising modelKramers–Wannier dualityPotts model

Related mentions per year

Related mentions per year

1946-2018
19401960198020002020
Square-lattice Ising model
Ising model
Potts model
Kramers–Wannier duality

Papers overview

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2010
2010
Square lattice Ising model ODE in exact arithmetic
We obtain in exact arithmetic the order 24 linear differential operator L24 and the right-hand side E(5) of the inhomogeneous… (More)
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2010
2010
High-order Fuchsian equations for the square lattice Ising model
This paper deals with χ̃ (6), the six-particle contribution to the magnetic susceptibility of the square lattice Ising model. We… (More)
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2009
2009
High order Fuchsian equations for the square lattice Ising model: χ̃(5)
We consider the Fuchsian linear differential equation obtained (modulo a prime) for χ̃ (5), the five-particle contribution to the… (More)
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2009
2009
A Single Mobility Function for the Square-Lattice Ising Model and Its Application to Calibrated Monte Carlo Kinetics
Computational experiments are used to show that grain boundary mobility is independent of driving force in a two-dimensional… (More)
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2009
2009
ar X iv : 0 90 4 . 16 01 v 1 [ m at h - ph ] 9 A pr 2 00 9 High order Fuchsian equations for the square lattice
We consider the Fuchsian linear differential equation obtained (modulo a prime) for χ̃(5), the five-particle contribution to the… (More)
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2008
2008
Experimental mathematics on the magnetic susceptibility of the square lattice Ising model
We calculate very long lowand high-temperature series for the susceptibility χ of the square lattice Ising model as well as very… (More)
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2006
2006
Recent Developments on Ising and Chiral Potts Model
Baxter’s Z-invariant Ising model is the prototype integrable lattice model in statistical mechanics. It is “exactly solvable” for… (More)
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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… (More)
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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… (More)
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1996
1996
Low-temperature series expansions for the square lattice Ising model with spin S > 1
We derive low-temperature series (in the variable u = exp[−βJ/S2]) for the spontaneous magnetization, susceptibility, and… (More)
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