Berlin 2005 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 34: Poster
DY 34.1: Poster
Montag, 7. März 2005, 15:30–18:00, Poster TU D
Analytic properties of the Ruelle ζ–function for mean field models of phase transition — •Sarah Hallerberg1, Wolfram Just2, and Günter Radons1 — 1Institute of Physics, Chemnitz University of Technology, 09107 Chemnitz, Germany — 2School of Mathematical Sciences, Queen Mary / University of London, Mile End Road, London E1 4NS, UK
ζ–functions are an important concept in different fields of theoretical physics, like equilibrium statistical mechanics, nonlinear dynamics, or semiclassical descriptions of chaotic quantum systems. Of particular interest are analytical properties of ζ–functions as they reflect nontrivial features like dynamical instabilities or phase transitions. For a simple globally coupled spin system we compute explicitly the Ruelle ζ–function. We study in detail how the ferromagnetic phase transition is reflected by changes in the analytical properties of the ζ–function.