Deep learning on the 2-dimensional Ising model to extract the crossover region with a variational autoencoder
Sign Up to like & getrecommendations! Published in 2020 at "Scientific Reports"
DOI: 10.1038/s41598-020-69848-5
Abstract: The 2-dimensional Ising model on a square lattice is investigated with a variational autoencoder in the non-vanishing field case for the purpose of extracting the crossover region between the ferromagnetic and paramagnetic phases. The encoded… read more here.
Keywords: variational autoencoder; crossover region; dimensional ising; ising model ... See more keywords
Nucleation rate in the two dimensional Ising model in the presence of random impurities.
Sign Up to like & getrecommendations! Published in 2021 at "Soft matter"
DOI: 10.1039/d1sm01172c
Abstract: Nucleation phenomena are ubiquitous in nature and the presence of impurities in every real and experimental system is unavoidable. Yet numerical studies of nucleation are nearly always conducted for entirely pure systems. We have studied… read more here.
Keywords: model presence; presence; dimensional ising; two dimensional ... See more keywords
Evidence for additional third-order transitions in the two-dimensional Ising model.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.014134
Abstract: We employ the microcanonical inflection-point analysis method, developed for the systematic identification and classification of phase transitions in systems of any size, to study the two-dimensional Ising model at various lattice sizes and in the… read more here.
Keywords: two dimensional; dimensional ising; third order; phase ... See more keywords
Exact expressions for the partition function of the one-dimensional Ising model in the fixed-M ensemble.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.106.l042103
Abstract: We obtain exact closed-form expressions for the partition function of the one-dimensional Ising model in the fixed-M ensemble, for three commonly used boundary conditions: periodic, antiperiodic, and Dirichlet. These expressions allow for the determination of… read more here.
Keywords: expressions partition; ising model; dimensional ising; partition function ... See more keywords
Synergy as a warning sign of transitions: The case of the two-dimensional Ising model.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.99.040101
Abstract: We consider the formalism of information decomposition of target effects from multisource interactions, i.e., the problem of defining redundant and synergistic components of the information that a set of source variables provides about a target,… read more here.
Keywords: synergy; ising model; target; dimensional ising ... See more keywords
Supersolid magnetic phase in the two-dimensional Ising-like antiferromagnet with strong single-ion anisotropy
Sign Up to like & getrecommendations! Published in 2017 at "Physics of the Solid State"
DOI: 10.1134/s1063783417090190
Abstract: The Ising model with the frustrated exchange interaction for strongly anisotropic antiferromagnetic ultrathin film is investigated in the mean field approximation at low temperatures. It is shown that a spatially inhomogeneous state can be accomplished… read more here.
Keywords: phase two; ising like; dimensional ising; two dimensional ... See more keywords
Monte Carlo Study of the Effect of Initial States and Structural Defects on Nonequilibrium Critical Behavior of the Three-Dimensional Ising Model
Sign Up to like & getrecommendations! Published in 2018 at "Physics of the Solid State"
DOI: 10.1134/s1063783418060306
Abstract: The effect of various initial magnetizations m0 and structural defects the nonequilibrium critical behavior of the three-dimensional Ising model is numerically studied. Based on an analysis of the time dependence of the magnetization and the… read more here.
Keywords: three dimensional; dimensional ising; nonequilibrium critical; ising model ... See more keywords
Comment on Zhang, D. Exact Solution for Three-Dimensional Ising Model. Symmetry 2021, 13, 1837
Sign Up to like & getrecommendations! Published in 2023 at "Symmetry"
DOI: 10.3390/sym15020374
Abstract: We show that Zhang Degang’s claimed solution of the three-dimensional Ising model has fatal irreparable errors. read more here.
Keywords: ising model; zhang; dimensional ising; three dimensional ... See more keywords