Dynamical Process of a Bit-Width Reduced Ising Model With Simulated Annealing
IEEE Access, 2023 Ising machines have attracted attention as efficient solvers for combinatorial optimization problems, which are formulated as ground-state (lowest-energy) search problems of the Ising model. Due to the limited bit-width of coefficients on Ising machines,
Shuta Kikuchi, Nozomu Togawa, Shu Tanaka
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Phase transitions of antiferromagnetic Ising spins on the zigzag surface of an asymmetrical Husimi lattice [PDF]
Royal Society Open Science, 2019 An asymmetrical two-dimensional Ising model with a zigzag surface, created by diagonally cutting a regular square lattice, has been developed to investigate the thermodynamics and phase transitions on surface by the methodology of recursive lattice ...
Ran Huang, Purushottam D. Gujrati
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Quantum Ising model on the frustrated square lattice [PDF]
Physical Review E, 2019 We investigate the role of a transverse field on the Ising square antiferromagnet with first-($J_1$) and second-($J_2$) neighbor interactions. Using a cluster mean-field approach, we provide a telltale characterization of the frustration effects on the phase boundaries and entropy accumulation process emerging from the interplay between quantum and ...
M. Schmidt, F. M. Zimmer, N. Kellermann
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Predicting long- and short-range order with restricted Boltzmann machine
AIP Advances, 2021 Generalization properties of the restricted Boltzmann machine (RBM) for two-dimensional Ising model are investigated. Both long-range and short-range order are examined: the first is studied for a spin lattice with ferromagnetic interaction, and the ...
M. A. Timirgazin, A. K. Arzhnikov
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The square lattice Ising model on the rectangle II: finite-size scaling limit [PDF]
, 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 ...
A. Hucht
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Nematic phase in the J(1)-J(2) square-lattice Ising model in an external field. [PDF]
Physical review. E, Statistical, nonlinear, and soft matter physics, 2015 The J(1)-J(2) Ising model in the square lattice in the presence of an external field is studied by two approaches: the cluster variation method (CVM) and Monte Carlo simulations.
Alejandra I. Guerrero +2 more
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The algorithm for the partition function of the generalised Ising model on a square lattice [PDF]
Computational Methods in Science and Technology, 1997 Piotr Kozłowski +2 more
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Phase diagram of the dissipative quantum Ising model on a square lattice [PDF]
Physical Review B, 2018 9 pages, 7 figures.
Davide Rossini +7 more
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Application of convolutional neural networks to spin models studies
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2022 Nowadays, methods and techniques of Deep Learning are being used in various scientific areas. In this paper, the applying of convolutional neural network was considered in frame of problems from statistical physics and computer simulation of magnetic ...
Perzhu Aleksandr +5 more
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Phase diagram and critical behavior of the square-lattice Ising model with competing nearest-neighbor and next-nearest-neighbor interactions. [PDF]
Physical review. E, Statistical, nonlinear, and soft matter physics, 2009 Using the parallel tempering algorithm and graphics processing unit accelerated techniques, we have performed large-scale Monte Carlo simulations of the Ising model on a square lattice with antiferromagnetic (repulsive) nearest-neighbor and next-nearest ...
Junqi Yin, D. P. Landau
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