Creep and thermal rounding close to the elastic depinning threshold

Abstract

We study the slow stochastic dynamics near the depinning threshold of an elastic interface in a random medium by solving a particularly suited model of hopping interacting particles that belongs to the quenched-Edwards-Wilkinson depinning universality class. The model allows us to compare the cases of uniformly activated and Arrhenius activated hops. In the former case, the velocity accurately follows a standard scaling law of the force and noise intensity with the analog of the thermal rounding exponent satisfying a modified "hyperscaling" relation. For the Arrhenius activation, we find, both numerically and analytically, that the standard scaling form fails for any value of the thermal rounding exponent. We propose an alternative scaling incorporating logarithmic corrections that appropriately fits the numerical results. We argue that this anomalous scaling is related to the strong correlation between activated hops that, alternated with deterministic depinning-like avalanches, occur below the depinning threshold. We rationalize the spatiotemporal patterns by making an analogy of the present model in the near-threshold creep regime with some well-known models with extremal dynamics, particularly the Bak-Sneppen model.

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References in corpus (8)

• Creep and flow regimes of magnetic domain wall motion in ultrathin Pt/Co/Pt films with perpendicular anisotropy
• Exactly solvable model of avalanches dynamics for Barkhausen crackling noise
• Creep dynamics of elastic manifolds via exact transition pathways
• Thermal rounding of the depinning transition
• Universal Statistics of the Critical Depinning Force of Elastic Systems in Random Media
• Bursts of activity in collective cell migration
• Dynamic binding of driven interfaces in coupled ultrathin ferromagnetic layers
• Thermal rounding exponent of the depinning transition of an elastic string in a random medium

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• Localization of soft modes at the depinning transition
• The yielding of amorphous solids at finite temperatures
• Universal Critical Exponents of the Magnetic Domain Wall Depinning Transition
• Thermally rounded depinning of an elastic interface on a washboard potential
• On the critical region of long-range depinning transitions
• Earthquake-like dynamics in ultrathin magnetic film
• Hysteretic depinning of a particle in a periodic potential: Phase diagram and criticality
• Crack propagation by activated avalanches during creep and fatigue from elastic interface theory
• Roughening of the Anharmonic Elastic Interface in Correlated Random Media
• On dissipation in crackling noise systems