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Creep dynamics of elastic manifolds via exact transition pathways

Contributors

Kolton, Alejandro; Rosso, Alberto; Giamarchi, Thierry; Krauth, Werner

Published in

Physical review. B, Condensed matter and materials physics, vol. 79, no. 18

Publication date

2009

Abstract

We study the steady state of driven elastic strings in disordered media below the depinning threshold. In the low-temperature limit, for a fixed sample, the steady state is dominated by a single configuration, which we determine exactly from the transition pathways between metastable states. We obtain the dynamical phase diagram in this limit. At variance with a thermodynamic phase transition, the depinning transition is not associated with a divergent length scale of the steady state below threshold, but only of the transient dynamics. We discuss the distribution of barrier heights, and check the validity of the dynamic phase diagram at small but finite temperatures using Langevin simulations. The phase diagram continues to hold for broken statistical tilt symmetry. We point out the relevance of our results for experiments of creep motion in elastic interfaces.

UNIGE affiliation entities

UNIGE research groups

Citation (ISO format)

KOLTON, Alejandro et al. Creep dynamics of elastic manifolds via exact transition pathways. In: Physical review. B, Condensed matter and materials physics, 2009, vol. 79, n° 18. doi: 10.1103/PhysRevB.79.184207

Main files (1)

Article (Published version)

Identifiers

Journal ISSN

1098-0121
622views
833downloads

Technical informations

Creation

28/04/2014 11:26:00

First validation

28/04/2014 11:26:00

Update

14/03/2023 21:09:29

Status update

14/03/2023 21:09:29

Last indexation

30/10/2024 16:58:58
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