Chaos in the Classical Analogue of the Hofstadter Problem

M. del Mar Espinosa; Miguel A. Martin-Delgado; Alfonso Niella; David Paramo; Javier Rodriguez-Laguna

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Chaos in the Classical Analogue of the Hofstadter Problem

M. del Mar Espinosa·Miguel A. Martin-Delgado·Alfonso Niella·David Paramo·Javier Rodriguez-Laguna

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Abstract

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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M. del Mar Espinosa, Miguel A. Martin-Delgado, Alfonso Niella, David Paramo, Javier Rodriguez-Laguna. 1998-08-11. Chaos in the Classical Analogue of the Hofstadter Problem. https://arxiv.org/abs/chao-dyn/9808012

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