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Very large energy cumulants of the 2D Potts model

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.)).
Authors:
Bhattacharya, T; [1]  Lacaze, R; [2]  Morel, A [2] 
  1. Los Alamos Nat. Lab., NM (United States). Group T-8
  2. Service de Physique Theorique de Saclay, 91191 Gif-sur-Yvette Cedex (France)
Publication Date:
Apr 01, 1995
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 662110; PA: AIX-26:064368; EDB-95:132369; SN: 95001458383
Resource Relation:
Journal Name: Nuclear Physics B, Proceedings Supplements; Journal Volume: 42; Conference: Lattice `94, Bielefeld (Germany), 25 Sep - 1 Oct 1994; Other Information: PBD: Apr 1995
Subject:
66 PHYSICS; LATTICE FIELD THEORY; POWER SERIES; BOUNDARY CONDITIONS; CRYSTAL MODELS; DISTRIBUTION FUNCTIONS; GAUSS FUNCTION; PADE APPROXIMATION; PARTITION FUNCTIONS; PEAKS; PROBABILITY; TWO-DIMENSIONAL CALCULATIONS
OSTI ID:
101074
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF412064368
Submitting Site:
NLN
Size:
pp. 743-745
Announcement Date:
Oct 05, 1995

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. doi: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. doi:10.1016/0920-5632(95)00368-J. https://www.osti.gov/servlets/purl/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 = {Nuclear Physics B, Proceedings Supplements}
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}