Published January 1, 2012 | Version v1
Journal article

Universal amplitude ratios for scaling corrections on Ising strips with fixed boundary conditions

  • 1. Yerevan Physics Institute, Alikhanian Brothers 2, 375036 Yerevan (Armenia)
  • 2. Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan (China)

Description

We study the (analytic) finite-size corrections in the Ising model on the strip with fixed (+-) boundary conditions. We find that subdominant finite-size corrections to scaling should be to the form ak/N2k-1 for the free energy fN and bk(n)/N2k-1 for inverse correlation length ξn-1, with integer value of k. We investigate the set {ak,bk(n)} by exact evaluation and their changes upon varying anisotropy of coupling. We find that the amplitude ratios bk(n)/ak remain constant upon varying coupling anisotropy. Such universal behavior are correctly reproduced by the conformal perturbative approach.

Availability note (English)

Available from http://dx.doi.org/10.1016/j.nuclphysb.2011.08.019

Additional details

Identifiers

DOI
10.1016/j.nuclphysb.2011.08.019;
arXiv
arXiv:1108.2574v1;
PII
S0550-3213(11)00465-2;

Publishing Information

Journal Title
Nuclear Physics. B
Journal Volume
854
Journal Issue
1
Journal Page Range
p. 184-192
ISSN
0550-3213
CODEN
NUPBBO

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
43070367
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
AMPLITUDES; ANISOTROPY; BOUNDARY CONDITIONS; CORRECTIONS; EVALUATION; FREE ENERGY; ISING MODEL; SCALING
Descriptors DEC
CRYSTAL MODELS; ENERGY; MATHEMATICAL MODELS; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES

Optional Information

Copyright
Copyright (c) 2011 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.