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Study of Frustrated Systems Via Dissipative Maps

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Computer Simulation Studies in Condensed-Matter Physics VII

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 78))

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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.

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References

  1. See, for example, Per Bak, Phys. Rev. Lett. 46, 791 (1981).

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  2. Rahul Pandit and Michael Wortis, Phys. Rev. B 25, 3226 (1982); and Ref. [3].

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  3. G.I. Watson and G.S. Canright, Phys. Rev. B 48, 15950 (1993).

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  4. M. Peyrard and S. Aubry, J. Phys. C 16, 1593 (1983).

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  5. 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)].

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Author information

Authors and Affiliations

  1. Department of Physics and Astronomy, The University of Tennessee, Knoxville, TN, 37996-1200, USA

    G. S. Canright & G. I. Watson

  2. Solid State Division, Oak Ridge National Labortory, Oak Ridge, TN, 37831, USA

    G. S. Canright & G. I. Watson

  3. Rutherford Appleton Laboratory, Chilton, Didcot, Oxon, OX11 OQX, UK

    G. I. Watson

Authors
  1. G. S. Canright
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  2. G. I. Watson
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Editor information

Editors and Affiliations

  1. Center for Simulational Physics, The University of Georgia, Athens, GA, 30602, USA

    David P. Landau Ph. D. , K. K. Mon Ph. D  & Heinz-Bernd Schüttler Ph. D. ,  & 

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© 1994 Springer-Verlag Berlin Heidelberg

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Canright, G.S., Watson, G.I. (1994). Study of Frustrated Systems Via Dissipative Maps. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics VII. Springer Proceedings in Physics, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79293-9_21

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  • DOI: https://doi.org/10.1007/978-3-642-79293-9_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-79295-3

  • Online ISBN: 978-3-642-79293-9

  • eBook Packages: Springer Book Archive

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