Münster 1997 – scientific programme

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DY: Dynamik und Statistische Physik

DY 19: Poster II

DY 19.53: Poster

Thursday, March 20, 1997, 09:30–12:30, Z

Phase Transitions in Infinite Dimensional Dynamical Systems — •Wolfram Just — Institut für Festkörperphysik, Technische Hochschule Darmstadt, Hochschulstraße 8, 64289 Darmstadt, and SFB 185

Recently it has been proposed that the formation of dissipative structures in spatially extended systems is associated with equilibrium phase transitions in the corresponding symbolic dynamics. By considering simple piecewise linear coupled map lattices, known as simplicial mappings in the mathematical literature, this point of view is confirmed. Although the models under investigation are expansive and have the Markov property, they exhibit phase transitions and broken ergodicity in the limit of infinite system size. This feature emphasizes the peculiarities of extended systems. A few simple examples are discussed explictly by constructing the corresponding equilibrium thermodynamics.