6 papers
Algorithmic overlaps as thermodynamic variables: from local to cluster Monte Carlo dynamics in critical phenomena
Ian Pilé, Ian Pilé, Youjin Deng +1
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Swendsen-Wang and Wolff cl…
Determining the boundary of dynamical chaos in the generalized Chirikov map via machine learning
Daniil Chernyshov, Arkady Satanin, Lev Shchur
We investigate the boundary separating regular and chaotic dynamics in the generalized Chirikov map, an extension of the standard map with a control parameter and a phase-shift…
Ising models on the hydrogen peroxide and other lattices
Xiaofeng Qian, Youjin Deng, Lev N. Shchur +1
We perform a Monte Carlo analysis of the Ising model on many three-dimensional lattices. By means of finite-size scaling we obtain the critical points and determine the scaling dim…
Machine Learning Domain Adaptation in Spin Models with Continuous Phase Transitions
Vladislav Chertenkov, Lev Shchur
The main question raised in the article is whether a neural network trained on a spin lattice model in one universality class can be used to test a model in another universality cl…
Phase probabilities in first-order transitions using machine learning
Diana Sukhoverkhova, Vyacheslav Mozolenko, Lev Shchur
We set out to explore the possibility of investigating the critical behavior of systems with first-order phase transition using deep machine learning. We propose a machine learning…
Influence of anisotropy on the study of critical behavior of spin models by machine learning methods
Diana Sukhoverkhova, Lev Shchur
In this paper, we applied a deep neural network to study the issue of knowledge transferability between statistical mechanics models. The following computer experiment was conducte…