Critical exponents of the driven elastic string in a disordered medium

dc.creatorDuemmer, Olaf
dc.creatorKrauth, Werner
dc.date2005-01-19
dc.date2005-01-30
dc.date.accessioned2026-07-07T07:43:26Z
dc.date.available2026-07-07T07:43:26Z
dc.descriptionWe 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.
dc.description4 pages, 3 figures. corrected references and typos
dc.identifierhttps://arxiv.org/abs/cond-mat/0501467
dc.identifierhttp://arxiv.org/abs/cond-mat/0501467
dc.identifierPhys. Rev. E 71, 061601 (2005) (4 pages)
dc.identifierdoi:10.1103/PhysRevE.71.061601
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122823
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleCritical exponents of the driven elastic string in a disordered medium
dc.typetext

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