Statistical mechanics of strongly driven Ising systems

This work considers the behavior of the Ising model of a ferromagnet subject to a strong, randomly switching external driving field. A formalism based on the master equation to handle such nonequilibrium systems is introduced and applied to a mean field approximation, and one- and two-dimensional variants of the model. A novel type of phase transition related to spontaneous symmetry breaking and dynamic freezing occurs which depends on the strength of the driving field. The complex analytic structure of the stationary magnetization distributions is shown to range from singular-continuous with euclidean or fractal support to all continuous. Analytic results are presented for the mean field and one-dimensional cases, whereas Monte-Carlo simulations provide insight into the two-dimensional model. Also, an interpretation of the model from a neurobiological point of view is given.

Level thesis:degree_level

thesis.doctoral

Grantor dc:publisher

Universität Oldenburg

Year

2001

Author dc:creator

• Hausmann, Johannes

• [Keine Schlagwörter von Autor/in vergeben.]

Repository record source_url

http://oops.uni-oldenburg.de/320

OAI identifier oai:identifier

oai:oops.uni-oldenburg.de:320