Study of Frustrated Systems Via Dissipative Maps

  • G. S. Canright
  • G. I. Watson
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 78)

Abstract

We briefly describe a method for finding complex metastable states for frustrated classical systems, using a dissipative dynamical map. We show by example that this technique can give states which are very competitive in energy with the ground state, and with other, simpler states which are found by exhaustive search.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    See, for example, Per Bak, Phys. Rev. Lett. 46, 791 (1981).Google Scholar
  2. Rahul Pandit and Michael Wortis, Phys. Rev. B 25, 3226 (1982); and Ref. [3].Google Scholar
  3. 2.
    G.I. Watson and G.S. Canright, Phys. Rev. B 48, 15950 (1993).Google Scholar
  4. 3.
    M. Peyrard and S. Aubry, J. Phys. C 16, 1593 (1983).CrossRefADSGoogle Scholar
  5. 4.
    We have explored limited applications of the method to the ANNNI problem [Julia Yeomans, Solid State Physics 41, 151 (1988)] and to the long-range oscillatory potentials of metallic close-packed polytypes [A. Blandin, J. Friedel, and G. Saada, J. Phys.(Paris) Colloq. 27, C3-128 (1966)].Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • G. S. Canright
    • 1
    • 2
  • G. I. Watson
    • 1
    • 2
    • 3
  1. 1.Department of Physics and AstronomyThe University of TennesseeKnoxvilleUSA
  2. 2.Solid State DivisionOak Ridge National LabortoryOak RidgeUSA
  3. 3.Rutherford Appleton LaboratoryChilton, Didcot, OxonUK

Personalised recommendations