TY - JOUR
TI - Logarithmic corrections to scaling in the XY{sub 2}-model
AB - 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.)).
AU - Kenna, R [Liverpool Univ. (United Kingdom). Dept. of Applied Mathematics and Theoretical Physics]
AU - Irving, A C [Liverpool Univ. (United Kingdom). Dept. of Applied Mathematics and Theoretical Physics]
KW - 66 PHYSICS
KW - LATTICE FIELD THEORY
KW - SCALING LAWS
KW - SIGMA MODEL
KW - ASYMPTOTIC SOLUTIONS
KW - BOUNDARY CONDITIONS
KW - CORRECTIONS
KW - CRYSTAL MODELS
KW - MAGNETIC FIELDS
KW - NONLINEAR PROBLEMS
KW - O GROUPS
KW - PARTITION FUNCTIONS
KW - THERMODYNAMIC PROPERTIES
KW - THERMODYNAMICS
KW - TWO-DIMENSIONAL CALCULATIONS
DO - 10.1016/0920-5632(95)00378-M
UR -
PB -
CY - Netherlands
PY - 1995
DA - 1995-04-01
LA - English
J2 - Nuclear Physics B, Proceedings Supplements
C1 -
C2 -
ER -