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A Higher-Order Ising Model with Gradient-Free Update [PDF]
AxiomsThe Ising model is able to memorize some patterns or solutions as stable states. An Ising network may automatically converge to a pre-stored solution for a random input. However, in many cases, the Ising model cannot perform this task.
Gengsheng L. Zeng
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Point convolutional neural network algorithm for Ising model ground state research based on spring vibration [PDF]
Scientific ReportsThe ground state search of the Ising model can be used to solve many combinatorial optimization problems. Under the current computer architecture, an Ising ground state search algorithm suitable for hardware computing is necessary for solving practical ...
Zhelong Jiang +10 more
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2D Ising Model for Enantiomer Adsorption on Achiral Surfaces: L- and D-Aspartic Acid on Cu(111) [PDF]
Entropy, 2022 The 2D Ising model is well-formulated to address problems in adsorption thermodynamics. It is particularly well-suited to describing the adsorption isotherms predicting the surface enantiomeric excess, ees, observed during competitive co-adsorption of ...
Soham Dutta, Andrew J. Gellman
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Particle-based Ising model [PDF]
Physical Review E, 2021 We characterize equilibrium properties and relaxation dynamics of a two-dimensional lattice containing, at each site, two particles connected by a double-well potential (dumbbell). Dumbbells are oriented in the orthogonal direction with respect to the lattice plane and interact with each other through a Lennard-Jones potential truncated at the nearest ...
Quentin Novinger +4 more
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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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Calculation of the Free Energy of the Ising Model on a Cayley Tree via the Self-Similarity Method
Axioms, 2022 In this study, an interactive Ising model having the nearest and prolonged next-nearest neighbors defined on a Cayley tree is considered. Inspired by the results obtained for the one-dimensional Ising model, we will construct the partition function and ...
Hasan Akın
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Mathematics, 2021 A method of the Riemann–Hilbert problem is employed for Zhang’s conjecture 2 proposed in Philo. Mag. 87 (2007) 5309 for a ferromagnetic three-dimensional (3D) Ising model in a zero external magnetic field.
Zhidong Zhang, Osamu Suzuki
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Revising the universality class of the four-dimensional Ising model
Nuclear Physics B, 2023 The aim of this paper is to determine the behavior of the specific heat of the 4-dimensional Ising model in a region around the critical temperature, and via that determine if the Ising model and the ϕ4-model belong to the same universality class in ...
P.H. Lundow, K. Markström
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Guiding Principle for Minor-Embedding in Simulated-Annealing-Based Ising Machines
IEEE Access, 2020 We propose a novel type of minor-embedding (ME) in simulated-annealing-based Ising machines. The Ising machines can solve combinatorial optimization problems. Many combinatorial optimization problems are mapped to find the ground (lowest-energy) state of
Tatsuhiko Shirai +2 more
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Performance Comparison of Typical Binary-Integer Encodings in an Ising Machine
IEEE Access, 2021 The differences in performance among binary-integer encodings in an Ising machine, which can solve combinatorial optimization problems, are investigated.
Kensuke Tamura +4 more
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