On the Kertész line: thermodynamic versus geometric criticality

On the Kertész line: thermodynamic versus geometric criticality

The critical behaviour of the Ising model in the absence of an external magnetic field can be specified either through spontaneous symmetry breaking (thermal criticality) or through cluster percolation (geometric criticality). We extend this to finite external fields for the case of the Potts'...

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2008-02, Vol.41 (8), p.085001
Hauptverfasser: Blanchard, Ph, Gandolfo, D, Laanait, L, Ruiz, J, Satz, H
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Sprache:eng
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Condensed Matter
Exact sciences and technology
Physics
Statistical Mechanics
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container_issue 8
container_start_page 085001
container_title Journal of physics. A, Mathematical and theoretical
container_volume 41
creator Blanchard, Ph
Gandolfo, D
Laanait, L
Ruiz, J
Satz, H
description The critical behaviour of the Ising model in the absence of an external magnetic field can be specified either through spontaneous symmetry breaking (thermal criticality) or through cluster percolation (geometric criticality). We extend this to finite external fields for the case of the Potts' model, showing that a geometric analysis leads to the same first order/second order structure as found in thermodynamic studies. We calculate the Kertész line, separating percolating and non-percolating regimes, both analytically and numerically for the Potts model in presence of an external magnetic field.
doi_str_mv 10.1088/1751-8113/41/8/085001
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subjects Condensed Matter
Exact sciences and technology
Physics
Statistical Mechanics
title On the Kertész line: thermodynamic versus geometric criticality
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