Abstract
The energy cumulants of the 2d q-states Potts model are obtained from a large q expansion of its partition function up to order 10 in 1/{radical}(q). The numerical values of these cumulants at the transition, as given by Pade resummation, are very large for q< or {approx}15. For example at q=10 we found F{sup (2)}{approx}10, F{sup (3)}{approx}210{sup 3}, F{sup (4)}{approx}10{sup 6}, F{sup (5)}{approx}10{sup 9}, F{sup (6)}{approx}10{sup 12}. As a consequence the standard finite size analysis away from the transition point is only possible for very large lattices and the description of energy probability distributions with 2 gaussian peaks is inadequate. ((orig.)).
Bhattacharya, T;
[1]
Lacaze, R;
[2]
Morel, A
[2]
- Los Alamos Nat. Lab., NM (United States). Group T-8
- Service de Physique Theorique de Saclay, 91191 Gif-sur-Yvette Cedex (France)
Citation Formats
Bhattacharya, T, Lacaze, R, and Morel, A.
Very large energy cumulants of the 2D Potts model.
Netherlands: N. p.,
1995.
Web.
doi:10.1016/0920-5632(95)00368-J.
Bhattacharya, T, Lacaze, R, & Morel, A.
Very large energy cumulants of the 2D Potts model.
Netherlands.
https://doi.org/10.1016/0920-5632(95)00368-J
Bhattacharya, T, Lacaze, R, and Morel, A.
1995.
"Very large energy cumulants of the 2D Potts model."
Netherlands.
https://doi.org/10.1016/0920-5632(95)00368-J.
@misc{etde_101074,
title = {Very large energy cumulants of the 2D Potts model}
author = {Bhattacharya, T, Lacaze, R, and Morel, A}
abstractNote = {The energy cumulants of the 2d q-states Potts model are obtained from a large q expansion of its partition function up to order 10 in 1/{radical}(q). The numerical values of these cumulants at the transition, as given by Pade resummation, are very large for q< or {approx}15. For example at q=10 we found F{sup (2)}{approx}10, F{sup (3)}{approx}210{sup 3}, F{sup (4)}{approx}10{sup 6}, F{sup (5)}{approx}10{sup 9}, F{sup (6)}{approx}10{sup 12}. As a consequence the standard finite size analysis away from the transition point is only possible for very large lattices and the description of energy probability distributions with 2 gaussian peaks is inadequate. ((orig.)).}
doi = {10.1016/0920-5632(95)00368-J}
journal = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}
title = {Very large energy cumulants of the 2D Potts model}
author = {Bhattacharya, T, Lacaze, R, and Morel, A}
abstractNote = {The energy cumulants of the 2d q-states Potts model are obtained from a large q expansion of its partition function up to order 10 in 1/{radical}(q). The numerical values of these cumulants at the transition, as given by Pade resummation, are very large for q< or {approx}15. For example at q=10 we found F{sup (2)}{approx}10, F{sup (3)}{approx}210{sup 3}, F{sup (4)}{approx}10{sup 6}, F{sup (5)}{approx}10{sup 9}, F{sup (6)}{approx}10{sup 12}. As a consequence the standard finite size analysis away from the transition point is only possible for very large lattices and the description of energy probability distributions with 2 gaussian peaks is inadequate. ((orig.)).}
doi = {10.1016/0920-5632(95)00368-J}
journal = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}