vix.ing · top · new · best · stats · spec

Nonlinear Behavior in Ferromagnetism: Simple Example and Possible Implications

2002/09/02 by Eshel Faraggi, Faraggi, Eshel
Biochemistry, Genetics and Molecular Biology · Economics, Econometrics and Finance · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Complex Systems and Time Series Analysis #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Geomagnetism and Paleomagnetism Studies #Theoretical and Computational Physics #nlin.CD #nlin.SI

paper · pdf · doi:10.48550/arxiv.nlin/0209006

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

arxiv created 2002/09/02 · openalex publication_date 2002/09/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related