Spatio-temporal scaling for out-of-equilibrium relaxation dynamics of an elastic manifold in random media: crossover between the Larkin regime and thermally activated regime

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dc.creatorNogawa, Tomoaki
dc.creatorNemoto, Koji
dc.creatorYoshino, Hajime
dc.date2007-10-10
dc.date2008-02-12
dc.date.accessioned2026-07-07T12:53:19Z
dc.date.available2026-07-07T12:53:19Z
dc.descriptionWe study relaxation dynamics of a three dimensional elastic manifold in random potential from a uniform initial condition by numerically solving the Langevin equation.We observe growth of roughness of the system up to larger wavelengths with time.We analyze structure factor in detail and find a compact scaling ansatz describing two distinct time regimes and crossover between them. We find short time regime corresponding to length scale smaller than the Larkin length $L_c$ is well described by the Larkin model which predicts a power law growth of domain size $L(t)$. Longer time behavior exhibits the random manifold regime with slower growth of $L(t)$.
dc.description7 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0710.1940
dc.identifierhttp://arxiv.org/abs/0710.1940
dc.identifierPhys. Rev. B 77 (2008) 064204
dc.identifierdoi:10.1103/PhysRevB.77.064204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223583
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleSpatio-temporal scaling for out-of-equilibrium relaxation dynamics of an elastic manifold in random media: crossover between the Larkin regime and thermally activated regime
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