Showing papers by "Julia M. Yeomans published in 1980"
TL;DR: In this article, a real space rescaling technique is used to study the critical properties of the bond-dilute Ashkin-Teller-Potts model on the square lattice.
Abstract: A real-space rescaling technique (decimation) is used to study the critical properties of the bond-dilute, S state Ashkin-Teller-Potts model on the square lattice. Fixed points and critical exponents are obtained and critical curves plotted for values of S from 1 to 4. For S=1, 2 the dilute model exhibits the same critical behaviour as the pure system. However, for S=3, 4, there is crossover to a new dilute fixed point. The transition remains second order but exhibits new values of the critical exponents. This behaviour is in accord with the Harris criterion (1974).
23 citations
TL;DR: In this paper, a real-space rescaling method is applied to the mixed-bond, spin-half, Ising model for the mixed ferromagnet for which JA, JB > 0.
Abstract: A real-space rescaling method is applied to the mixed-bond, spin--½, Ising model. The system comprises bonds JA, JB with probability p, 1-p respectively. We restrict our attention to the mixed ferromagnet for which JA, JB > 0. Critical curves, Tc versus p, can be obtained for all α ≡ JB/JA and we present results for the square lattice for α = 1,2,5,10,∞.
14 citations