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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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Ground state of a spin-1/2 Heisenberg-Ising two-leg ladder with XYZ intra-rung coupling [PDF]
Condensed Matter Physics, 2013 The quantum spin-1/2 two-leg ladder with an anisotropic XYZ Heisenberg intra-rung interaction and Ising inter-rung interactions is treated by means of a rigorous approach based on the unitary transformation.
T. Verkholyak, J. Strečka
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A Metamaterial Analog of the Ising Model [PDF]
Advanced Materials, 2018 AbstractThe interaction between microscopic particles is always a fascinating and intriguing area of science. Direct interrogation of such interactions is often difficult. Structured electromagnetic systems offer a rich toolkit for mimicking and reproducing the key dynamics that govern the microscopic interactions, and thus provides an avenue to ...
Longqing Cong +2 more
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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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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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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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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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The Importance of the Ising Model [PDF]
Progress of Theoretical Physics, 2012 33 ...
Assis, M +5 more
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