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Logarithmic corrections to scaling in the XY{sub 2}-model

Abstract

We study the distribution of partition function zeroes for the XY-model in two dimensions. In particular we find the scaling behaviour of the end of the distribution of zeroes in the complex external magnetic field plane in the thermodynamic limit (the Yang-Lee edge) and the form for the density of these zeroes. Assuming that finite-size scaling holds, we show that there have to exist logarithmic corrections to the leading scaling behaviour of thermodynamic quantities in this model. These logarithmic corrections are also manifest in the finite-size scaling formulae and we identify them numerically. The method presented here can be used to check the compatibility of scaling behaviour of odd and even thermodynamic functions in other models too. ((orig.)).
Authors:
Kenna, R; [1]  Irving, A C [1] 
  1. Liverpool Univ. (United Kingdom). Dept. of Applied Mathematics and Theoretical Physics
Publication Date:
Apr 01, 1995
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 662110; PA: AIX-26:064359; EDB-95:132420; SN: 95001458374
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; SCALING LAWS; SIGMA MODEL; ASYMPTOTIC SOLUTIONS; BOUNDARY CONDITIONS; CORRECTIONS; CRYSTAL MODELS; MAGNETIC FIELDS; NONLINEAR PROBLEMS; O GROUPS; PARTITION FUNCTIONS; THERMODYNAMIC PROPERTIES; THERMODYNAMICS; TWO-DIMENSIONAL CALCULATIONS
OSTI ID:
101053
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF402064359
Submitting Site:
NLN
Size:
pp. 773-775
Announcement Date:
Oct 05, 1995

Citation Formats

Kenna, R, and Irving, A C. Logarithmic corrections to scaling in the XY{sub 2}-model. Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00378-M.
Kenna, R, & Irving, A C. Logarithmic corrections to scaling in the XY{sub 2}-model. Netherlands. doi:10.1016/0920-5632(95)00378-M.
Kenna, R, and Irving, A C. 1995. "Logarithmic corrections to scaling in the XY{sub 2}-model." Netherlands. doi:10.1016/0920-5632(95)00378-M. https://www.osti.gov/servlets/purl/10.1016/0920-5632(95)00378-M.
@misc{etde_101053,
title = {Logarithmic corrections to scaling in the XY{sub 2}-model}
author = {Kenna, R, and Irving, A C}
abstractNote = {We study the distribution of partition function zeroes for the XY-model in two dimensions. In particular we find the scaling behaviour of the end of the distribution of zeroes in the complex external magnetic field plane in the thermodynamic limit (the Yang-Lee edge) and the form for the density of these zeroes. Assuming that finite-size scaling holds, we show that there have to exist logarithmic corrections to the leading scaling behaviour of thermodynamic quantities in this model. These logarithmic corrections are also manifest in the finite-size scaling formulae and we identify them numerically. The method presented here can be used to check the compatibility of scaling behaviour of odd and even thermodynamic functions in other models too. ((orig.)).}
doi = {10.1016/0920-5632(95)00378-M}
journal = {Nuclear Physics B, Proceedings Supplements}
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}