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Energy barriers for flux lines in three dimensions

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I determine the scaling behavior of the free energy barriers encountered by a flux line in moving through a three-dimensional random potential. A combination of numerical simulations and analytic arguments suggests that these barriers scale with the length of the line in the same way as the fluctuation in the free energy.

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  1. 1.

    K. H. Fischer and J. A. Hertz,Spin Glasses (Cambridge University Press, Cambridge, 1991).

  2. 2.

    J. A. Mydosh,Spin Glasses: An Experimental Introduction (Tayler & Francis, London, 1993).

  3. 3.

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

  4. 4.

    D. R. Nelson and V. M. Vinokur,Phys. Rev. B 48:13060 (1993).

  5. 5.

    P. W. Anderson and Y. B. Kim,Rev. Mod. Phys. 36:39 (1964).

  6. 6.

    D. S. Fisher, M. P. A. Fischer, and D. A. Huse,Phys. Rev. B 43:130 (1991).

  7. 7.

    L. Ioffe and V. M. Vinokur,J. Phys. C 20:6149 (1987).

  8. 8.

    D. A. Huse and C. L. Henley,Phys. Rev. Lett. 54:2708 (1985).

  9. 9.

    L. V. Mikheev, B. Drossel, and M. Kardar,Phys. Rev. Lett. 75:1170 (1995).

  10. 10.

    M. Kardar,Lectures on Directed Paths in Random Media (Les Houches Summer School on Fluctuating Geometries in Statistical Mechanics and Field Theory, August 1994, to be published); preprint cond-mat/9411022.

  11. 11.

    J. G. Amar and F. Family,Phys. Rev. A 41:3399 (1990).

  12. 12.

    T. Halpin-Healy,Phys. Rev. A 44:R3415 (1991).

  13. 13.

    V. Ambegaokar, B. I. Halperin, and J. S. Langer,Phys. Rev. B 4:2612 (1971).

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Communicated by M. Kardar

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Drossel, B. Energy barriers for flux lines in three dimensions. J Stat Phys 82, 431–441 (1996). https://doi.org/10.1007/BF02189238

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Key Words

  • Flux lines
  • random media
  • energy barriers
  • glassy systems