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Ising model - Wikipedia
The Ising model (or Lenz–Ising model), named after the physicists Ernst Ising and Wilhelm Lenz, is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables that represent magnetic dipole moments of atomic "spins" that can be in one of two states (+1 or … See more
The thermodynamic limit exists as long as the interaction decay is $${\displaystyle J_{ij}\sim |i-j|^{-\alpha }}$$ with α > 1.
• In … See moreIn three as in two dimensions, the most studied case of the Ising model is the translation-invariant model on a cubic lattice with nearest-neighbor coupling in the zero magnetic … See more
The most studied case of the Ising model is the translation-invariant ferromagnetic zero-field model on a d-dimensional lattice, namely, Λ = Z , Jij = … See more
One of Democritus' arguments in support of atomism was that atoms naturally explain the sharp phase boundaries observed in materials … See more
Definitions
The Ising model can often be difficult to evaluate numerically if there are many states in the system. Consider an Ising model with See more• In the ferromagnetic case there is a phase transition. At low temperature, the Peierls argument proves positive magnetization for the … See more
Wikipedia text under CC-BY-SA license The Ising Model - Stanford University
The Theoretical and Statistical Ising Model: A …
WEBOct 8, 2021 · The “Ising model” refers to both the statistical and the theoretical use of the same equation. In this article, we introduce both uses and contrast their differences. We accompany the conceptual …
4.5: Ising model - Exact and numerical results
WEBSep 20, 2022 · 4.5: Ising model - Exact and numerical results. In order to evaluate the main prediction ( 4.4.14) of the Weiss theory, let us now discuss the exact (analytical) and quasi-exact (numerical) results …
Frontiers | Ising formulations of many NP problems
Optimal structure and parameter learning of Ising models
WEBIn modern applications, the Ising model is regarded as the most general graphical model describing stationary statistics of binary variables, called spins, that admit a pairwise factorization. The spins are associated with …
Computational complexity continuum within Ising formulation of …
The Ising model and counting graphs - University of British …
Quantum Machine Learning - 09 - Classical Ising Model
Many-body quantum sign structures as non-glassy Ising models
A Free-fermion Formulation of Two-dimensional Ising Models
Point convolutional neural network algorithm for Ising model …
A Free-fermion Formulation of Two-dimensional Ising Models
Geometric properties of the complete-graph Ising model in the …