This material has been published in
"Condensed Matter Theories," vol. 19, E. Suraud, ed.,
Nova Science Publ., New York, 2004,
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Karl E. Kürten and Christian Krattenthaler
Multistability and fractal properties of Hamiltonian lattice models
We investigate a particular N-particle system governed by a
Hamiltonian. For this model,
we enumerate all locally stable configurations, and as
well all the possible displacements of the particles. This is achieved
by Redfield-Pólya theory. In particular, we obtain that the
number of locally stable configurations increases exponentially with
The spectrum, which grows exponentially in a quasi self-similar manner
is shown to be a fractal
with fractal dimension df=1.55.
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