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Phonon-mediated anomalous dynamics of defects

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Abstract.

Dynamics of an array of line defects interacting with a background elastic medium is studied in the linear regime. It is shown that the inertial coupling between the defects and the ambient phonons leads to an anomalous response behavior for the deformation modes of a defect-lattice, in the form of anisotropic and anomalous mass and elastic constants, resonant dissipation through excitation of phonons, and instabilities. The case of a single fluctuating line defect is also studied, and it is shown that it could lead to formation of shock waves in the elastic medium for sufficiently high frequency deformation modes.

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References

  1. P.M. Chaikin, T.C. Lubensky, Principles of Condensed Matter Physics (Cambridge University Press, 1997)

  2. J.M. Kosterlitz, D.J. Thouless, J. Phys. C 6, 1181 (1973)

    Article  Google Scholar 

  3. D.R. Nelson, B.I. Halperin, Phys. Rev. B 19, 2457 (1979)

    Article  Google Scholar 

  4. N. Ashcroft, D. Mermin, Solid State Physics (Holt, Rinehart, Winston, 1976)

  5. A.M. Kossevich, The Crystal Lattice (Wiley-VCH, Berlin, 1999)

  6. C. Domb, J.L. Lebowitz, Phase Transition and Critical Phenomena, Vol. 7 (Academic Press, 1983)

    Google Scholar 

  7. G. Blatter, M.V. Feigel'man, V.B. Geshkenbein, A.I. Larkin, V.M. Vinokour, Rev. Mod. Phys. 66, 1125 (1994)

    Article  Google Scholar 

  8. P. Minnhagen, Rev. Mod. Phys. 54, 1001 (1987)

    Article  Google Scholar 

  9. C.J. Olson, C. Reichhardt, F. Nori, Phys. Rev. Lett. 81, 3757 (1998)

    Article  Google Scholar 

  10. M.-C. Miguel, M. Kardar, Phys. Rev. B 62, 5942 (2000)

    Article  Google Scholar 

  11. J.V. Jose, L.P. Kadanoff, S. Kirkpatrick, D.R. Nelson, Phys. Rev. B 16, 1217 (1977)

    Article  Google Scholar 

  12. J.P. Sethna, Phys. Rev. B 24, 698 (1981)

    Article  Google Scholar 

  13. T. Vegge, J.P. Sethna, S.-A. Cheong, K.W. Jacobsen, C.R. Myers, D.C. Ralph, Phys. Rev. Lett. 86, 1546 (2001)

    Article  Google Scholar 

  14. D.J. Thouless, P. Ao, Q. Niu, Phys. Rev. Lett. 76, 3758 (1996)

    Article  Google Scholar 

  15. M.R. Matthews, B.P. Anderson, P.C. Haljan, D.S. Hall, C.E. Wieman, E.A. Cornell, Phys. Rev. Lett. 83, 2498 (1999)

    Google Scholar 

  16. R.P. Feynman, R. Leighton, M. Sands, The Feynman Lectures on Physics, Vol. 2 (Addison-Wesley, 1975)

  17. L.D. Landau, E.M. Lifshitz, The Classical Theory of Fields 4th edn. (Pergamon, Oxford, England, 1975)

  18. J.D. Joannoupoulos, R.B. Meade, J.N. Winn, Photonic Crystals (Princeton University Press, 1995)

  19. A. Najafi, R. Golestanian, to be published

  20. A.O. Barut, Electrodynamics and Classical Theory of Fields and Particles (Dover Publications, New York, 1980)

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Authors and Affiliations

  1. Institute for Advanced Studies in Basic Sciences, 45195-159, Zanjan, Iran

    A. Najafi & R. Golestanian

Authors
  1. A. Najafi
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  2. R. Golestanian
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Correspondence to R. Golestanian.

Additional information

Received: 18 February 2003, Published online: 23 July 2003

PACS:

63.20.Mt Phonon-defect interactions - 61.72.Bb Theories and models of crystal defects - 66.30.Lw Diffusion of other defects

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Najafi, A., Golestanian, R. Phonon-mediated anomalous dynamics of defects. Eur. Phys. J. B 34, 99–103 (2003). https://doi.org/10.1140/epjb/e2003-00200-x

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  • DOI: https://doi.org/10.1140/epjb/e2003-00200-x

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