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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.
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 ...
- René-Jean Essiambre
- rene.essiambre@nokia-bell-labs.com
- 2021
Feb 9, 2024 · 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.
Jan 25, 2023 · Phase diagram of the 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.
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
- Yacine Aoun, Moritz Dober, Alexander Glazman
- Commun Math Phys. 2024; 405(2): 37.
- 10.1007/s00220-023-04925-0
- 2024
Sep 13, 2022 · There seems to be two different definitions of the so-called "Ashkin-Teller model", and I'm not sure which one is the one assumed by physicists (or which one is of more interest). First, in wikipedia, the model seems to be defined as the 4-state clock model.
Nov 15, 2023 · 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.
