THE SPIN-S BLUME-CAPEL RG FLOW DIAGRAM

Details THE SPIN-S BLUME-CAPEL RG FLOW DIAGRAM THE SPIN-S BLUME-CAPEL RG FLOW DIAGRAM

1995-02-23

arxiv.org/abs/cond-mat/9502100v1

Physics

Condensed Matter

11 pages, plain tex, 3 PS figures included, uuencoded 64K to appear in J. Stat. Phys. PMCO at IF.UFF.BR

Scientific paper

10.1007/BF02180146

Using the Finite Size Scaling Renormalisation Group we obtain the two-dimensional flow diagram of the Blume-Capel model, for S = 1 and S = 3/2. In the first case our results are similar to those of Mean Field Theory, which predicts the existence of first and second order transitions whith a tricritical point. In the second case, however, our results are different. While we obtain, as in the S = 1 case, a phase diagram presenting a multicritical point, the Mean Field approach predicts only a second order transition and a critical end point.

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