Square lattice Ising model susceptibility: series expansion method and differential equation for χ(3) [PDF]
Journal of Physics A: Mathematical and General, 2005 In a previous paper (2004 J. Phys. A: Math. Gen. 37 9651–68) we have given the Fuchsian linear differential equation satisfied by χ(3), the 'three-particle' contribution to the susceptibility of the isotropic square lattice Ising model.
N Zenine +3 more
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The square lattice Ising model on the rectangle III: Hankel and Toeplitz determinants [PDF]
Journal of Physics A: Mathematical and Theoretical, 2021 Based on the results obtained in (Hucht 2017 J. Phys. A: Math. Theor. 50 065201), we show that the partition function of the anisotropic square lattice Ising model on the L × M rectangle, with open boundary conditions in both directions, is given by the ...
Alfred Hucht
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Machine Learning of Nonequilibrium Phase Transition in an Ising Model on Square Lattice [PDF]
Condensed Matter, 2023 This paper presents the investigation of convolutional neural network (CNN) prediction successfully recognizing the temperature of the nonequilibrium phase transitions in two-dimensional (2D) Ising spins on a square lattice.
Dagne Wordofa Tola, Mulugeta Bekele
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High-order Fuchsian equations for the square lattice Ising model: χ(6) [PDF]
Journal of Physics A: Mathematical and Theoretical, 2010 This paper deals with , the six-particle contribution to the magnetic susceptibility of the square lattice Ising model. We have generated, modulo a prime, series coefficients for .
S. Boukraa +4 more
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The square lattice Ising model on the rectangle II: finite-size scaling limit [PDF]
Journal of Physics A: Mathematical and Theoretical, 2017 Based on the results published recently (Hucht 2017 J. Phys. A: Math. Theor. 50 065201), the universal finite-size contributions to the free energy of the square lattice Ising model on the L×M rectangle, with open boundary conditions in both directions ...
Alfred Hucht
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Square lattice Ising model \tilde{\chi }^{(5)} ODE in exact arithmetic [PDF]
Journal of Physics A: Mathematical and Theoretical, 2010 We obtain in exact arithmetic the order 24 linear differential operator L24 and the right-hand side E(5) of the inhomogeneous equation L24(Φ(5)) = E(5), where is a linear combination of n-particle contributions to the susceptibility of the square lattice
B Nickel +6 more
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Low-temperature series for renormalized operators: The ferromagnetic square-lattice Ising model [PDF]
Journal of Statistical Physics, 1995 A method for computing low-temperature series for renormalized operators in the two-dimensional Ising model is proposed. These series are applied to the study of the properties of the truncated renormalized Hamiltonians when we start at very low ...
J. Salas
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Machine Learning the Square-Lattice Ising Model [PDF]
Journal of Physics: Conference Series, 2021 Recently, machine-learning methods have been shown to be successful in identifying and classifying different phases of the square-lattice Ising model. We study the performance and limits of classification and regression models.
Burak Çivitcioğlu +2 more
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Magnetic susceptibility of the square lattice Ising model [PDF]
The European Physical Journal Plus, 2022 In this work, we obtained an analytical relation for the susceptibility of the square lattice Ising model. Our investigation is based on an average magnetization interrelation which was recently obtained by us.
T. Kaya
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The square lattice Ising model on the rectangle I: finite systems [PDF]
Journal of Physics A: Mathematical and Theoretical, 2016 The partition function of the square lattice Ising model on the rectangle with open boundary conditions in both directions is calculated exactly for arbitrary system size L×M and temperature.
A. Hucht
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