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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
Abstract [en]

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
National Category
Condensed Matter Physics
URN: urn:nbn:se:umu:diva-107762DOI: 10.1103/PhysRevE.86.041121ISI: 000309780600002PubMedID: 23214543OAI: diva2:851495
Available from: 2015-09-05 Created: 2015-08-28 Last updated: 2015-09-07

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Lundow, P. H.
Condensed Matter Physics

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