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Multifractal approach to three-site antiferromagnetic Ising model

โœ Scribed by N.S. Ananikian; S.K. Dallakian

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
448 KB
Volume
107
Category
Article
ISSN
0167-2789

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โœฆ Synopsis

The three-site antiferromagnetic Ising model on Husimi tree is investigated in a magnetic field, Macroscopic quantity of the three-site antiferromagnetic Ising model is generated by a one-dimensional map. Local Lyapunov exponents of this map are introduced as order parameters for the proper characterization of rich phase structure of the three-site antiferromagnetic Ising model using the thermodynamic formalism of multifractals. An approximate "temperature" of the phase transition has been obtained and shown to be dependent on the parameters of model and vary from negative to positive value.

๐Ÿ“œ SIMILAR VOLUMES

Multifractality and frustration in an an
Multifractality and frustration in an antiferromagnetic Ising model
โœ W. Jeลผewski ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 112 KB

Multifractal formalism is used to study properties of probability measures supported by energy spectra of a fully frustrated nearest-neighbor Ising model on finite-size triangular lattices. The spectra of singularities of these measures as well as the maximal Holder exponent are shown to display a s