Results 1 to 10 of about 55,351 (274)

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
doaj   +6 more sources

A Spin - 3/2 Ising Model on a Square Lattice [PDF]

Journal of Experimental and Theoretical Physics Letters, 1996
The spin - 3/2 Ising model on a square lattice is investigated. It is shown that this model is reducible to an eight - vertex model on a surface in the parameter space spanned by coupling constants J, K, L and M. It is shown that this model is equivalent
A. Lipowski, A. Rosengren, C. A. Hurst, C. Fan, F. C. Sa Barreto, F. Y. Wu, J. Sivardiere, M. Blume, M. Kolesik, N. S. Ananikian, N. S. Ananikian, N. Sh. Izmailian, R. J. Baxter, S. Krinsky, T. Horiguchi, T. Horiguchi, X. N. Wu   +16 more
core   +7 more sources

The susceptibility of the square lattice Ising model: New developments [PDF]

Journal of Statistical Physics, 2001
We have made substantial advances in elucidating the properties of the susceptibility of the square lattice Ising model. We discuss its analyticity properties, certain closed form expressions for subsets of the coefficients, and give an algorithm of ...
William P. Orrick, B. G. Nickel, A J Guttmann, Jacques H. H. Perk   +3 more
semanticscholar   +5 more sources

Automata and the susceptibility of the square lattice Ising model modulo powers of primes [PDF]

Journal of Physics A: Mathematical and Theoretical, 2015
We study the full susceptibility of the Ising model modulo powers of primes. We find exact functional equations for the full susceptibility modulo these primes.
A J Guttmann, J.-M. Maillard
semanticscholar   +9 more sources

Square lattice Ising model susceptibility: Series expansion method and differential equation for $\chi^{(3)}$ [PDF]

, 2004
In a previous paper (J. Phys. A {\bf 37} (2004) 9651-9668) we have given the Fuchsian linear differential equation satisfied by $\chi^{(3)}$, the ``three-particle'' contribution to the susceptibility of the isotropic square lattice Ising model.
Avan J, Boukraa S, Boukraa S, Cartier P, Chazy J, Chazy J, Conte R, Dhar D, Gasper G, Gomez C, Hansel D, Higashi K, Ince H K, J-M Maillard, Jaekel M T, Jimbo M, Jimbo M, Kitaev A V, Kruskal M D, Mugan U, N Zenine, Nappi C R, Nickel B, Nickel B, Oi S, Orrick W P, Painlev? P, Rehr J J, S Boukraa, S Hassani, Sasaki T, Sasaki T, Sasaki T, Sasaki T, Syozi I, Yamada K, Zenine N   +36 more
core   +6 more sources

Experimental mathematics on the magnetic susceptibility of the square lattice Ising model [PDF]

Journal of Physics A: Mathematical and Theoretical, 2008
We calculate very long low- and high-temperature series for the susceptibility χ of the square lattice Ising model as well as very long series for the five-particle contribution χ(5) and six-particle contribution χ(6).
S. Boukraa, A J Guttmann, S. Hassani, Iwan Jensen, J-M Maillard, B. G. Nickel, N Zenine   +6 more
semanticscholar   +7 more sources

New algorithm for the computation of the partition function for the Ising model on a square lattice [PDF]

International Journal of Modern Physics C, 2003
A new and efficient algorithm is presented for the calculation of the partition function in the $S=\pm 1$ Ising model. As an example, we use the algorithm to obtain the thermal dependence of the magnetic spin susceptibility of an Ising antiferromagnet ...
A. Z. MAKSYMOWICZ, B. KAWECKA-MAGIERA, K. KUŁAKOWSKI, K. MALARZ, M. S. MAGDOŃ-MAKSYMOWICZ, Reichl L. E.   +5 more
core   +5 more sources

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, R. Römer, A. Honecker   +2 more
semanticscholar   +4 more sources

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
semanticscholar   +4 more sources

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 ...
A. Hucht
semanticscholar   +5 more sources