Critical exponents of the driven elastic string in a disordered medium

Details Critical exponents of the driven elastic string in a disordered medium Critical exponents of the driven elastic string in a disordered medium

2005-01-19

arxiv.org/abs/cond-mat/0501467v2

Phys. Rev. E 71, 061601 (2005) (4 pages)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures. corrected references and typos

Scientific paper

10.1103/PhysRevE.71.061601

We analyze the harmonic elastic string driven through a continuous random potential above the depinning threshold. The velocity exponent beta = 0.33(2) is calculated. We observe a crossover in the roughness exponent zeta from the critical value 1.26 to the asymptotic (large force) value of 0.5. We calculate directly the velocity correlation function and the corresponding correlation length exponent nu = 1.29(5), which obeys the scaling relation nu = 1/(2-zeta), and agrees with the finite-size-scaling exponent of fluctuations in the critical force. The velocity correlation function is non-universal at short distances.

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