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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.