Chaos in the Classical Analogue of the Hofstadter Problem

Details Chaos in the Classical Analogue of the Hofstadter Problem Chaos in the Classical Analogue of the Hofstadter Problem

1998-08-11

arxiv.org/abs/chao-dyn/9808012v1

Nonlinear Sciences

Chaotic Dynamics

LaTeX, 13 pages. GIF figures included

Scientific paper

The behaviour of an electron in a potential that resembles that of a
bidimensional solid with a perpendicular magnetic field applied is studied from
a classical point of view. This problem presents the standard features of chaos
and some interesting new patterns. A new chaos indicator, called random walk
indicator, is presented to describe som of these new patterns

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