Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics A Mathematical and General

Universal amplitudes in finite-size scaling: the antiperiodic 3D spherical model

Malte Henkel, Robert Weston

Published Feb 21, 1992• 16 citations
Publisher

Abstract

The antiperiodic 3D spherical model is studied on a hypercube lattice, two sides of which are finite and the other infinite. The universal correlation length finite-size scaling amplitude in the conjectured relationship xi /L=A/x is calculated exactly and found to be A=0.1361 . . ., which should be compared with the antiperiodic 3D Ising model value of A approximately=0.12.

DOI
10.1088/0305-4470/25/4/010

Related papers

Amplitude-exponent relation for the correlation length in the spherical model

Malte Henkel

For the critical spherical model in d=r+1 dimensions, finite-size calculations of the spin-spin and energy-energy correlation lengths suggest relations among the critical exponents and the finite-size scaling amplitudes of the correlation lengths similar to those obtained in (1+1) dimensions from conformal invariance. For antiperiodic boundary conditions, the results agree with numerical studies in the (2+1)-dimensional Ising model.

Journal of Physics A Mathematical and General•Feb 21, 1988•15 citations

Universal ratios of scaling amplitudes in the Hamiltonian limit of the 3D Ising model

Malte Henkel

The scaling amplitudes of the spin-spin and energy-energy correlation lengths for the Hamiltonian limit of the 3D Ising model are computed on a square lattice. Both periodic and antiperiodic boundary conditions are considered. The ratios of the scaling amplitudes are found to be universal.

Journal of Physics A Mathematical and General•Apr 1, 1986•14 citations

Amplitude-exponent relation for the correlation length in the (2+1)-dimensional Ising model

Malte Henkel

For the critical (2+1)D Ising model defined on a square lattice with antiperiodic boundary conditions, numerical studies suggest relations among the critical exponents and the finite-size scaling amplitudes of correlation lengths similar to those obtained in (1+1) dimensions from conformal invariance.

Journal of Physics A Mathematical and General•Aug 21, 1987•12 citations

Monte Carlo studies of universal critical amplitudes for the three-dimensional Ising model: Correlation length and renormalized coupling

Pik-Yin Lai, K. K. Mon

We report Monte Carlo studies of the finite-size second-moment correlation length and renormalized coupling at criticality for the three-dimensional Ising model on body-centered-cubic lattices. The related finite-size scaling amplitudes are estimated and compared with the simple-cubic lattice results of recent extensive simulations. The amplitudes agreed within statistical uncertainty and are consistent with finite-size-scaling arguments for universality.

Physical review. B, Condensed matter•Dec 1, 1989•6 citations

Universal amplitude ratios in finite-size scaling: three-dimensional Ising model

Martin Weigel, Wolfhard Janke A

Motivated by the results of two-dimensional conformal field theory (CFT) we investigate the finite-size scaling of the mass spectrum of an Ising model on three-dimensional lattices with a spherical cross section. Using a cluster-update Monte Carlo technique we find a linear relation between the masses and the corresponding scaling dimensions, in complete analogy to the situation in two dimensions. Amplitude ratios as well as the amplitudes themselves appear to be universal in this case. 1.

•Jan 1, 2000•1 citation

Universal amplitudes in finite-size scaling: generalisation to arbitrary dimensionality

John Cardy

The relationship between the correlation length and critical exponents in finite width strips in two dimensions is generalised to cylindrical geometries of arbitrary dimensionality d. For d not=2 these correspond, however, to curved spaces. The result is verified for the spherical model.

Journal of Physics A Mathematical and General•Sep 11, 1985•75 citations
The antiperiodic 3D spherical model is studied on a hypercube lattice, two sides of which are finite and the other infinite. The universal correlation length finite-size scaling amplitude in the conjectured relationship xi /L=A/x is calculated exactly and found to be A=0.1361 . . ., which should be compared with the antiperiodic 3D Ising model value of A approximately=0.12.