Abstract
It is argued that the scaling transformation which is currently being used to obtain numerical estimates of critical exponents cannot safely be employed without prior knowledge that the points in question are second-order transition points. The transformation when defined on finite or semi-infinite systems will not distinguish between order-disorder critical points and any other point on the coexistence surface. This in turn means that the full phase diagram of the equilibrium surface can be found using the scaling transformation. The three-state Potts model is used to illustrate this.
Original language | English |
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Article number | 036 |
Pages (from-to) | 3579-3591 |
Number of pages | 13 |
Journal | Journal of Physics A: General Physics |
Volume | 15 |
Issue number | 11 |
DOIs | |
Publication status | Published - 1 Dec 1982 |