A Generalized Kac Model as a Dynamical System

A. Pentek, Z. Toroczkai, T. Tel, D. H. Mayer

Research output: Contribution to journalArticle


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.

Original languageEnglish
Pages (from-to)1212-1214
Number of pages3
JournalZeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Issue number12
Publication statusPublished - Dec 1 1994


ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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