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1. en.wikipedia.org › wiki › Potts_modelPotts model - Wikipedia

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   The four-state Potts model is sometimes known as the Ashkin–Teller model, after Julius Ashkin and Edward Teller, who considered an equivalent model in 1943. The Potts model is related to, and generalized by, several other models, including the XY model, the Heisenberg model and the N-vector model.

2. arxiv.org › abs › 2301[2301.10609] Phase diagram of the Ashkin-Teller model - arXiv.org

   arxiv.org › abs › 2301

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   Jan 25, 2023 · Phase diagram of the Ashkin-Teller model. Yacine Aoun, Moritz Dober, Alexander Glazman. The Ashkin-Teller model is a pair of interacting Ising models and has two parameters: J is a coupling constant in the Ising models and U describes the strength of the interaction between them.

   • Cite as: arXiv:2301.10609 [math.PR]
   • MSC classes: 82B20, 60K35, 82B26

   • Comments: 33 pages, 4 figures

3. People also ask

   What is Ashkin-Teller model?

   • The Ashkin-Teller model is a pair of interacting Ising models and has two parameters: J is a coupling constant in the Ising models and U describes the strength of the interaction between them.

   [2301.10609] Phase diagram of the Ashkin-Teller model - arXiv.org

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   Who is 'Ashkin' in the Ashkin-Teller model?

   • The ‘Ashkin’ in the Ashkin–Teller model refers to Julius. In the early days of the brothers’ careers, leading physicists who worked with Julius sometimes referred to Art as ‘Ashkin’s brother, Ashkin’. The United States’ involvement in World War II interrupted Art’s undergraduate studies in physics at Columbia University.

   In memory of Arthur Ashkin | Nature Photonics

   www.nature.com/articles/s41566-021-00768-0

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   How do we prove the Ashkin-Teller model based on FK-percolation?

   • Our proofs go through the random-cluster representation of the Ashkin-Teller model introduced by Chayes-Machta and Pfister-Velenik and we rely on couplings to FK-percolation. Bibliographic Explorer ( What is the Explorer?)

   [2301.10609] Phase diagram of the Ashkin-Teller model - arXiv.org

   arxiv.org/abs/2301.10609

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   Why did Arthur Ashkin create a tweezer?

   • Radiation pressure exerted by light was a lifelong passion for Arthur Ashkin. He foresaw that light pressure could do useful work and invented the optical tweezers that can trap microscopic objects, from small ‘living things’ down to individual atoms.

   In memory of Arthur Ashkin | Nature Photonics

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4. www.ncbi.nlm.nih.gov › pmc › articlesPhase Diagram of the Ashkin–Teller Model - PMC

   www.ncbi.nlm.nih.gov › pmc › articles

   The Ashkin–Teller (AT) model is named after two physicists who introduced it in 1943 and can be viewed as a pair of interacting Ising models . For a finite subgraph Ω = ( V , E ) of Z 2 , the AT model is supported on pairs of spin configurations ( τ , τ ′ ) ∈ { ± 1 } V × { ± 1 } V and the distribution is defined by

5. www.nature.com › articles › s41566/021/00768-0In memory of Arthur Ashkin | Nature Photonics

   www.nature.com › articles › s41566/021/00768-0

   Feb 19, 2021 · The ‘Ashkin’ in the Ashkin–Teller model refers to Julius. In the early days of the brothers’ careers, leading physicists who worked with Julius sometimes referred to Art as ‘Ashkin’s...

   • Author: René-Jean Essiambre
   • Email: rene.essiambre@nokia-bell-labs.com

   • Publish Year: 2021

6. link.springer.com › article › 10Phase Diagram of the Ashkin–Teller Model - Springer

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   Feb 9, 2024 · Alexander Glazman. 457 Accesses. 1 Citation. Explore all metrics. Abstract. The Ashkin–Teller model is a pair of interacting Ising models and has two parameters: J is a coupling constant in the Ising models and U describes the strength of the interaction between them.

7. link.springer.com › content › pdfPhase Diagram of the Ashkin–Teller Model - Springer

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   Abstract: The Ashkin–Teller model is a pair of interacting Ising models and has two parameters: J is a coupling constant in the Ising models and U describes the strength of the interaction between them. In the ferromagnetic case J,U 0 on the square lattice,

8. www.sciencedirect.com › science › articleGlobal Ashkin–Teller phase diagrams in two and three ...

   www.sciencedirect.com › science › article

   Nov 15, 2023 · Abstract. The global phase diagrams of the Ashkin–Teller model are calculated in d = 2 and 3 by renormalization-group theory that is exact on the hierarchical lattice and approximate on the recently improved Migdal–Kadanoff procedure.