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Fortuin-Kasteleyn and damage-spreading transitions in random-bond Ising lattices
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Condensed Matter Theory.
2012 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, Vol. 86, no 4, 041121- p.Article 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)∼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).

Place, publisher, year, edition, pages
2012. Vol. 86, no 4, 041121- p.
Keyword [en]
Damage spreading, Ferro-magnetic interactions, Finite-size corrections, Intersection points, Ising lattices, Transition lines, Condensed matter physics, Physics, Ising model
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-106173DOI: 10.1103/PhysRevE.86.041121ISI: 000309780600002ScopusID: 2-s2.0-84867543882OAI: diva2:572894

QC 20121129

Available from: 2012-11-29 Created: 2012-11-29 Last updated: 2012-11-29Bibliographically approved

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Lundow, Per Håkan
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