Chaotic spin correlations in frustrated Ising hierarchical lattices
Name
Aral-2009-Chaotic spin correla.pdf
Size
1.34 MB
Format
Adobe PDF
Checksum (MD5)
540c540d4fee9b014e6b3f761414f42c
Author(s)
Aral, Nese
Berker, A. Nihat
Date Issued
January 2009
Journal
Physical Review B
Publisher
American Physical Society
Citation
Aral, NeÅŸe , and A. Nihat Berker. “Chaotic spin correlations in frustrated Ising hierarchical lattices.” Physical Review B 79.1 (2009): 014434. © 2009 The American Physical Society
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
http://dx.doi.org/10.1103/PhysRevB.79.014434
