Logarithmic corrections to scaling in the XY{sub 2}-model
Kenna, R [Liverpool Univ. (United Kingdom). Dept. of Applied Mathematics and Theoretical Physics]; Irving, A C [Liverpool Univ. (United Kingdom). Dept. of Applied Mathematics and Theoretical Physics]
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
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.)).
Netherlands
1995-04-01
English
Journal Article
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
Medium: X; Size: pp. 773-775
CONF-9409269-
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF402064359
NLN; SCA: 662110; PA: AIX-26:064359; EDB-95:132420; SN: 95001458374
2010-12-29
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