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Anharmonic Vibrations In Ordered And Disordered One- And Two-Dimensional Systems

Author

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  • ROCH BOURBONNAIS

    (Centre de Recherche sur les Très Basses Températures, Centre National de la Recherche Scientifique and Université Joseph Fourier-Grenoble I, B.P. 166X, 38042 Grenoble CEDEX, France)

  • ROGER MAYNARD

    (Centre de Recherche sur les Très Basses Températures, Centre National de la Recherche Scientifique and Université Joseph Fourier-Grenoble I, B.P. 166X, 38042 Grenoble CEDEX, France)

Abstract

We present extensive results of computer simulations on vibrations in one- and two-dimensional lattices with quartic anharmonicity. The existence of localized mode in ordered lattice is confirmed but the long term stability is questionable. Rather our results indicate an ergodic behavior at large times when several modes are present. Concerning disordered systems we have found that anharmonicity leads to a surprising new phenomenon of anomalous diffusion and thus to the possibility of anharmonically induced transport.

Suggested Citation

  • Roch Bourbonnais & Roger Maynard, 1990. "Anharmonic Vibrations In Ordered And Disordered One- And Two-Dimensional Systems," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 1(02n03), pages 233-258.
    • Handle: RePEc:wsi:ijmpcx:v:01:y:1990:i:02n03:n:s012918319000013x
    DOI: 10.1142/S012918319000013X
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