Ising chains characterized by smoothly varying two-body potentials, including a generalized version of the Kac model, are studied. As a novel aspect we show that one-dimensional maps associated with such chains in the spirit of the thermodynamical formalism possess fractal derivatives. We discuss how long-range potentials lead to intermittent-like behavior in the associated one-dimensional map.
|Number of pages||3|
|Journal||Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences|
|Publication status||Published - Dec 1 1994|
ASJC Scopus subject areas
- Mathematical Physics
- Physics and Astronomy(all)
- Physical and Theoretical Chemistry