Coarse graining: lessons from simple examples

We assess Coarse Graining by studying different partitions of the phase space of the Baker transformation and the periodic torus automorphisms. It turns out that the shape of autocorrelation functions for the Baker transformation is more or less reproduced. However, for certain partitions the decay...

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Bibliographic Details
Published in:arXiv.org 2001-01
Main Authors: Akritas, P, Antoniou, I, Yarevsky, E
Format: Article
Language:English
Subjects:
Autocorrelation functions
Automorphisms
Decay rate
Dumping
Granulation
Partitions
Toruses
Transformations
Online Access:Get full text
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Summary:We assess Coarse Graining by studying different partitions of the phase space of the Baker transformation and the periodic torus automorphisms. It turns out that the shape of autocorrelation functions for the Baker transformation is more or less reproduced. However, for certain partitions the decay rates turn out to be irrelevant, even decay may stop in a finite time. For the periodic torus automorphisms, Coarse Graining introduces artificial dumping.
ISSN:2331-8422