Fortuin-Kasteleyn and damage-spreading transitions in random-bond Ising lattices
2012 (English)In: PHYSICAL REVIEW E, Vol. 86, no 4, 041121Article in journal (Refereed) Published
The Fortuin-Kasteleyn and heat-bath damage-spreading temperatures T-FK(p) and T-DS(p) are studied on random-bond Ising models of dimensions 2-5 and as functions of the ferromagnetic interaction probability p; the conjecture that T-DS(p) similar to T-FK(p) is tested. It follows from a statement by Nishimori that in any such system, exact coordinates can be given for the intersection point between the Fortuin-Kasteleyn T-FK(p) transition line and the Nishimori line [p(NL,FK), T-NL,T-FK]. There are no finite-size corrections for this intersection point. In dimension 3, at the intersection concentration [p(NL,FK)], the damage spreading T-DS(p) is found to be equal to T-FK(p) to within 0.1%. For the other dimensions, however, T-DS(p) is observed to be systematically a few percent lower than T-FK(p).
Place, publisher, year, edition, pages
2012. Vol. 86, no 4, 041121
Condensed Matter Physics
IdentifiersURN: urn:nbn:se:umu:diva-107762DOI: 10.1103/PhysRevE.86.041121ISI: 000309780600002PubMedID: 23214543OAI: oai:DiVA.org:umu-107762DiVA: diva2:851495