Fisher Zeroes and Singular Behaviour of the Two Dimensional Potts Model in the Thermodynamic Limit

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dc.creatorKenna, R.
dc.date1997-07-03
dc.date1997-08-14
dc.date.accessioned2026-07-07T10:48:10Z
dc.date.available2026-07-07T10:48:10Z
dc.descriptionThe duality transformation is applied to the Fisher zeroes near the ferromagnetic critical point in the q>4 state two dimensional Potts model. A requirement that the locus of the duals of the zeroes be identical to the dual of the locus of zeroes in the thermodynamic limit (i) recovers the ratio of specific heat to internal energy discontinuity at criticality and the relationships between the discontinuities of higher cumulants and (ii) identifies duality with complex conjugation. Conjecturing that all zeroes governing ferromagnetic singular behaviour satisfy the latter requirement gives the full locus of such Fisher zeroes to be a circle. This locus, together with the density of zeroes is then shown to be sufficient to recover the singular form of the thermodynamic functions in the thermodynamic limit.
dc.description10 pages, 0 figures, LaTeX. Paper expanded and 2 references added clarifying duality relationships between discontinuities in higher cumulants
dc.identifierhttps://arxiv.org/abs/cond-mat/9707039
dc.identifierhttp://arxiv.org/abs/cond-mat/9707039
dc.identifierJ.Phys.A31:9419,1998
dc.identifierdoi:10.1088/0305-4470/31/47/004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183783
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.titleFisher Zeroes and Singular Behaviour of the Two Dimensional Potts Model in the Thermodynamic Limit
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