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Everything about Potts model
Model in statistical mechanics generalizing the Ising model
In statistical mechanics, the Potts model, a generalization of the Ising model, is a model of interacting spins on a crystalline lattice. By studying the Potts model, one may gain insight into the behaviour of ferromagnets and certain other phenomena of solid-state physics. The strength of the Potts model is not so much that it models these physical systems well; it is rather that the one-dimensional case is exactly solvable, and that it has a rich mathematical formulation that has been studied extensively. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Potts modelA 5-minute orientation
- Skim a recent paper: Mapping of attention mechanisms to a generalized Potts modelInfluential work since 2022
- Pick up a classic book: Probability and statistical physics in two and more dimensionsThe most-reprinted book on the subject
- Read the landmark paper: The Potts modelCited 3,258 times
- Go sideways: Corner transfer matrixA closely related topic
- Go sideways: Random cluster modelA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
The Potts model
Potts model at the critical temperature
Renormalization of the Potts model
Critical antiferromagnetic square-lattice Potts model
Percolation and the Potts model
Erratum: The Potts model
Potts model of magnetism (invited)
Percolation problems and the Potts model
🆕 Influential since 2022
Mapping of attention mechanisms to a generalized Potts model
Topological aspects of the critical three-state Potts model
Potts model solver based on hybrid physical and digital architecture
Surface criticality of the antiferromagnetic Potts model
Emergent Potts Order in a Coupled Hexatic-Nematic XY model
đź“š Books worth reading
Probability and statistical physics in two and more dimensionsClay Mathematics Institute. Summer School · 2012- 📕Local Operators in Integrable ModelsM. Jimbo, T. Miwa · 2021
A course on large deviations with an introduction to Gibbs measuresFiras Rassoul-Agha · 2015
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
đź”— Related topics
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- Critical three-state Potts model The three-state Potts CFT, also known as the Z 3 {\displaystyle \mathbb {Z} _{3}} parafermion CFT, is a conformal field theory in two dimensions. It is…