Nonlinear Behavior in Ferromagnetism: Simple Example and Possible Implications

Details Nonlinear Behavior in Ferromagnetism: Simple Example and Possible Implications Nonlinear Behavior in Ferromagnetism: Simple Example and Possible Implications

2002-09-02

arxiv.org/abs/nlin/0209006v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages, 2 figures. Originally submitted to PRL in 2000

Scientific paper

Two cases of a phenomenological model for ferromagnetism are considered, discrete and continuous. And the relationship, in general, between discrete and continuous models explored. In a similar way to the logistic map behavior, the continuous case is exactly solvable while the discrete one contains the bifurcation route to chaos. Through the ferromagnetic interpretation I comment on the relevance of this to understanding evolution of systems in time, the role of the configuration space in chaotic behavior, and how this understanding may lead to new exotic magnetic phenomena.

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