Автор |
C A Vause |
Автор |
J A Walker |
Дата выпуска |
1986-02-21 |
dc.description |
A projection operator which maps the q-state Potts model onto an Ising model is investigated. The case of an approximate mapping between two-spin nearest-neighbour clusters on a d-dimensional hypercubic lattice is considered. In the ferromagnetic case, first-order transitions occur for q>q<sub>c</sub>(d)=1+exp(2K<sub>Ic</sub>(d))>or=2, where K<sub>Ic</sub>(d) is the critical Ising coupling. Among the results are q<sub>c</sub>(d) to exp(2/(d-1)) as d to 1<sup>+</sup>, q<sub>c</sub>(2)=3.41 and q<sub>c</sub>(3)=2.56. The antiferromagnetic Potts model has no long range order for q>2. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Ising-like quality of the Potts model |
Тип |
lett |
DOI |
10.1088/0305-4470/19/3/013 |
Print ISSN |
0305-4470 |
Журнал |
Journal of Physics A: Mathematical and General |
Том |
19 |
Первая страница |
L167 |
Последняя страница |
L174 |
Аффилиация |
C A Vause; Dept. of Phys. & Astron., Hawaii Univ., Honolulu, HI, USA |
Аффилиация |
J A Walker; Dept. of Phys. & Astron., Hawaii Univ., Honolulu, HI, USA |
Выпуск |
3 |