Chaotic Spin Correlations in Frustrated Ising Hierarchical Lattices

Spin-spin correlations are calculated in frustrated hierarchical Ising models that exhibit chaotic renormalization-group behavior. The spin-spin correlations, as a function of distance, behave chaotically. The far correlations, but not the near correlations, are sensitive to small changes in tempera...

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Bibliographic Details
Published in:arXiv.org 2009-03
Main Authors: Aral, Neşe, Berker, A Nihat
Format: Article
Language:English
Subjects:
Chaos theory
Correlation
Free energy
Frustration
Internal energy
Ising model
Lattices
Liapunov exponents
Online Access:Get full text
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Summary:Spin-spin correlations are calculated in frustrated hierarchical Ising models that exhibit chaotic renormalization-group behavior. The spin-spin correlations, as a function of distance, behave chaotically. The far correlations, but not the near correlations, are sensitive to small changes in temperature or frustration, with temperature changes having a larger effect. On the other hand, the calculated free energy, internal energy, and entropy are smooth functions of temperature. The recursion-matrix calculation of thermodynamic densities in a chaotic band is demonstrated. The leading Lyapunov exponents are calculated as a function of frustration.
ISSN:2331-8422
DOI:10.48550/arxiv.0810.4586