Ising model is a mathematical model of ferromagnetism in statistical mechanics, which was invented by Wilhelm Lenz (1920). Wilhelm Lenz gave the model as a problem to his student Ernst Ising. Ising solved this problem in one-dimension in his PHD thesis (1924)[1], which worked on linear chains of coupled magnetic moments. Rudolf Peierls named this model by Ising model in his 1936 publication “On...

We investigate the critical behaviour of the two-dimensional Ising model defined on a curved surface with a constant negative curvature. Finite-size scaling analysis reveals that the critical exponents for the zero-field magnetic susceptibility and the correlation length differ from those for the planar Ising model. The quantitative alternation of these exponents originates from the difference ...

Fitness functions based on the Ising model are suited excellently for studying the adaption capabilities of randomised search heuristics. The one-dimensional Ising model was considered a hard problem for mutation-based algorithms, and the two-dimensional Ising model was even thought to amplify the difficulties. While in one dimension the Ising model does not have any local optima, in two dimens...

Fitness functions based on the Ising model are suited excellently for studying the adaption capabilities of randomised search heuristics. The one-dimensional Ising model was considered a hard problem for mutation-based algorithms, and the two-dimensional Ising model was even thought to amplify the difficulties. While in one dimension the Ising model does not have any local optima, in two dimens...

This paper presents Dynamic Attention Map by Ising model for face detection. In general, a face detector can not know where faces there are and howmany faces there are in advance. Therefore, the face detector must search the whole regions on the image and requires much computational time. To speed up the search, the information obtained at previous search points should be used effectively. In o...