Chaotic Spin Correlations in Frustrated Ising Hierarchical Lattices

Details Chaotic Spin Correlations in Frustrated Ising Hierarchical Lattices Chaotic Spin Correlations in Frustrated Ising Hierarchical Lattices

2008-10-25

arxiv.org/abs/0810.4586v2

Phys. Rev. B 79, 014434 (2009)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Expanded figure with new calculations, added Lyapunov exponent proof for correlations. 5 pages, 7 figures. Published version

Scientific paper

10.1103/PhysRevB.79.014434

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.

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