Nonlinear Behavior in Ferromagnetism: Simple Example and Possible Implications

Abstract

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.