Energy Barriers to Motion of Flux Lines in Random Media

Physics – Condensed Matter

Scientific paper

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4 pages Revtex, 2 figures, to appear in PRL 75, 1170 (1995)

Scientific paper

10.1103/PhysRevLett.75.1170

We propose algorithms for determining both lower and upper bounds for the energy barriers encountered by a flux line in moving through a two-dimensional random potential. Analytical arguments, supported by numerical simulations, suggest that these bounds scale with the length $t$ of the line as $t^{1/3}$ and $t^{1/3}\sqrt{\ln t}$, respectively. This provides the first confirmation of the hypothesis that barriers have the same scaling as the fluctuation in the free energy. \pacs{PACS numbers: 74.60.Ge, 05.70.Ln, 05.40.+j}

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