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GR: Gravitation und Relativitätstheorie
GR 4: Numerische Relativit
ätstheorie
GR 4.2: Fachvortrag
Monday, March 18, 2002, 15:40–16:00, HS 20
Fat and thin Fisher zeroes — •W. Janke1, D.A. Johnston2, and M. Stathakopoulos2 — 1Institut für Theoretische Physik, Universität Leipzig, Augustusplatz 10/11, 04109 Leipzig — 2Department of Mathematics, Heriot-Watt University, Edinburgh, EH14 4AS, Scotland
We show that it is possible to determine the locus of Fisher zeroes in the thermodynamic limit for the Ising model on planar (“fat”) φ4 random gravity graphs and their dual quadrangulations by matching up the real part of the high- and low-temperature branches of the expression for the free energy. Similar methods work for the mean-field model on generic, “thin” graphs. Series expansions are very easy to obtain for such random graph Ising models.
[1] W. Janke, D.A. Johnston, M. Stathakopoulos, Nucl. Phys. B 614 [FS] (2001) 494.
[2] B.P. Dolan, W. Janke, D.A. Johnston, and M. Stathakopoulos, J. Phys. A 34 (2001) 6211.