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Ernst Ising - physicist and teacher

, 1996
The Ising model is one of the standard models in statistical physics. Since 1969 more than 12000 publications appeared using this model. In 1996 Ernst Ising celebrated his 96th birthday.
Kobe, S.
core   +2 more sources

A CRITICAL ISING MODEL ON THE LABYRINTH [PDF]

International Journal of Modern Physics B, 1994
A zero-field Ising model with ferromagnetic coupling constants on the so-called Labyrinth tiling is investigated. Alternatively, this can be regarded as an Ising model on a square lattice with a quasi-periodic distribution of up to eight different coupling constants.
Baake, M., Grimm, U.G., Baxter, R.J.
openaire   +4 more sources

Three representations of the Ising model [PDF]

Scientific Reports, 2016
Statistical models that analyse (pairwise) relations between variables encompass assumptions about the underlying mechanism that generated the associations in the observed data.
J. Kruis, G. Maris
semanticscholar   +1 more source

A Method of Riemann–Hilbert Problem for Zhang’s Conjecture 1 in a Ferromagnetic 3D Ising Model: Trivialization of Topological Structure

Mathematics, 2021
A method of the Riemann–Hilbert problem is applied for Zhang’s conjecture 1 proposed in Philo. Mag. 87 (2007) 5309 for a ferromagnetic three-dimensional (3D) Ising model in the zero external field and the solution to the Zhang’s conjecture 1 is ...
Osamu Suzuki, Zhidong Zhang
doaj   +1 more source

Topological defects on the lattice: I. The Ising model [PDF]

, 2016
In this paper and its sequel, we construct topologically invariant defects in two-dimensional classical lattice models and quantum spin chains. We show how defect lines commute with the transfer matrix/Hamiltonian when they obey the defect commutation ...
D. Aasen, Roger S. K. Mong, P. Fendley
semanticscholar   +1 more source

Ising’s Roots and the Transfer-Matrix Eigenvalues

Entropy
Today, the Ising model is an archetype describing collective ordering processes. As such, it is widely known in physics and far beyond. Less known is the fact that the thesis defended by Ernst Ising 100 years ago (in 1924) contained not only the solution
Reinhard Folk, Yurij Holovatch
doaj   +1 more source

Rigorous Solution of the Spin-1 Quantum Ising Model with Single-ion Anisotropy

, 2008
We solve the spin-1 quantum Ising model with single-ion anisotropy by mapping it onto a series of segmented spin-1/2 transverse Ising chains, separated by the $S^z =0$ states called holes.
Dai, Jianhui, Xiang, Tao, Yang, Liping, Yang, Zhihua   +3 more
core   +1 more source

Random cluster dynamics for the Ising model is rapidly mixing [PDF]

ACM-SIAM Symposium on Discrete Algorithms, 2016
We show that the mixing time of Glauber (single edge update) dynamics for the random cluster model at $q=2$ is bounded by a polynomial in the size of the underlying graph. As a consequence, the Swendsen-Wang algorithm for the ferromagnetic Ising model at
Heng Guo, M. Jerrum
semanticscholar   +1 more source

A general learning scheme for classical and quantum Ising machines

SciPost Physics Core
An Ising machine is any hardware specifically designed for finding the ground state of the Ising model. Relevant examples are coherent Ising machines and quantum annealers. In this paper, we propose a new machine learning model that is based on the Ising
Ludwig Schmid, Enrico Zardini, Davide Pastorello
doaj   +1 more source

Quantum correlations in the Kerr Ising model

New Journal of Physics, 2020
In this article we present a full description of the quantum Kerr Ising model—a linear optical network of parametrically pumped Kerr nonlinearities. We consider the non-dissipative Kerr Ising model and, using variational techniques, show that the energy ...
M J Kewming, S Shrapnel, G J Milburn
doaj   +1 more source