Showing papers by "Julia M. Yeomans published in 1978"
TL;DR: In this article, a real space renormalisation group transformation of probabilities is applied to the square and triangular lattices yielding, with the simplest scalings, the following results for the percolation concentration pc, correlation length critical exponent v, and conductivity exponent t: square lattice: pc=0.618, v=1.64, t = 1.33; triangular lattice, pc= 0.5, v =1.71, t= 1.24
Abstract: A method is developed for treating the percolation conductivity of site-diluted resistor networks using a real space renormalisation group transformation of probabilities. The method is applied to the square and triangular lattices yielding, with the simplest scalings, the following results for the percolation concentration pc, correlation length critical exponent v, and conductivity exponent t: square lattice: pc=0.618, v=1.64, t=1.33; triangular lattice: pc=0.5, v=1.71, t=1.24.
23 citations
TL;DR: In this paper, the site-diluted Ising ferromagnet is treated by a position space renormalisation group method and results obtained by considering three different two-dimensional clusters are presented.
Abstract: The site-diluted Ising ferromagnet is treated by a position space renormalisation group method. The method is briefly outlined and results obtained by considering three different two-dimensional clusters are presented. The results include the dependence of transition temperature Tc on concentration p and the thermal exponents for the percolation and Ising fixed points. Corresponding results are also presented for the bond-diluted Ising ferromagnet.
21 citations