Universal amplitudes in finite-size scaling: generalisation to arbitrary dimensionality
- 11 September 1985
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (13) , L757-L760
- https://doi.org/10.1088/0305-4470/18/13/005
Abstract
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.Keywords
This publication has 6 references indexed in Scilit:
- Universal critical amplitudes in finite-size scalingPhysical Review B, 1984
- Conformal invariance and universality in finite-size scalingJournal of Physics A: General Physics, 1984
- Universality of correlation-length amplitudes and their relation with critical exponents for quantum systemsPhysical Review B, 1984
- The relation between amplitudes and critical exponents in finite-size scalingJournal of Physics A: General Physics, 1983
- Finite-size scaling and the two-dimensional XY modelJournal of Physics A: General Physics, 1982
- Application of the phenomenological renormalization to percolation and lattice animals in dimension 2Journal de Physique, 1982