A Generalized Kac Model as a Dynamical System

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

Research output: Contribution to journalArticle

Abstract

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
Volume49
Issue number12
DOIs
Publication statusPublished - Dec 1 1994

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One-dimensional Maps
dynamical systems
Dynamical systems
Dynamical system
Ising
Fractals
Fractal
fractals
formalism
Derivatives
Derivative
Model
Range of data

ASJC Scopus subject areas

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

Cite this

A Generalized Kac Model as a Dynamical System. / Pentek, A.; Toroczkai, Z.; Tel, T.; Mayer, D. H.

In: Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences, Vol. 49, No. 12, 01.12.1994, p. 1212-1214.

Research output: Contribution to journalArticle

Pentek, A. ; Toroczkai, Z. ; Tel, T. ; Mayer, D. H. / A Generalized Kac Model as a Dynamical System. In: Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences. 1994 ; Vol. 49, No. 12. pp. 1212-1214.
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