Abstract
dc:description.abstractThis 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.
Degree
thesis:*- Level thesis:degree_level
- thesis.doctoral
- Grantor dc:publisher
- Universität Oldenburg
- Year
- 2001
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Hausmann, Johannes
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Repository record source_url
- http://oops.uni-oldenburg.de/320
- OAI identifier oai:identifier
- oai:oops.uni-oldenburg.de:320