Do crossover functions depend on the shape of the interaction profile?

Details Do crossover functions depend on the shape of the interaction profile? Do crossover functions depend on the shape of the interaction profile?

1999-06-15

arxiv.org/abs/cond-mat/9906218v1

Europhys. Lett. 47, 311 (1999)

Physics

Condensed Matter

Statistical Mechanics

7 pages + 4 PostScript figures. Accepted for publication in Europhysics Letters. Also available as PDF file at http://www.co

Scientific paper

10.1209/epl/i1999-00390-9

We examine the crossover from classical to non-classical critical behaviour in two-dimensional systems with a one-component order parameter. Since the degree of universality of the corresponding crossover functions is still subject to debate, we try to induce non-universal effects by adding interactions with a second length scale. Although the crossover functions clearly depend on the range of the interactions, they turn out to be remarkably robust against further variation of the interaction profile. In particular, we find that the earlier observed non-monotonic crossover of the effective susceptibility exponent occurs for several qualitatively different shapes of this profile.

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