title: Fortuin-Kasteleyn and damage-spreading transitions in random-bond Ising lattices.
abstract: 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)~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,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).
authors.affiliation: Department of Theoretical Physics, Kungliga Tekniska högskolan, SE-106 91 Stockholm, Sweden.
authors.forename: P H
authors.initials: PH
authors.lastname: Lundow
authors.forename: I A
authors.initials: IA
authors.lastname: Campbell