Chaotic Spin Correlations in Frustrated Ising Hierarchical Lattices
Abstract
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.
Cite
@article{arxiv.0810.4586,
title = {Chaotic Spin Correlations in Frustrated Ising Hierarchical Lattices},
author = {Neşe Aral and A. Nihat Berker},
journal= {arXiv preprint arXiv:0810.4586},
year = {2009}
}
Comments
Expanded figure with new calculations, added Lyapunov exponent proof for correlations. 5 pages, 7 figures. Published version