Thermal rounding exponent of the depinning transition of an elastic string in a random medium

Abstract

We study numerically thermal effects at the depinning transition of an elastic string driven in a two-dimensional uncorrelated disorder potential. The velocity of the string exactly at the sample critical force is shown to behave as $V\sim T^{\psi }$, with $\psi$ the thermal rounding exponent. We show that the computed value of the thermal rounding exponent, $\psi =0.15$, is robust and accounts for the different scaling properties of several observables both in the steady-state and in the transient relaxation to the steady-state. In particular, we show the compatibility of the thermal rounding exponent with the scaling properties of the steady-state structure factor, the universal short-time dynamics of the transient velocity at the sample critical force, and the velocity scaling function describing the joint dependence of the steady-state velocity on the external drive and temperature.

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Cited by in corpus (13)

• Scaling description of the yielding transition in soft amorphous solids at zero temperature
• Pinning dependent field driven domain wall dynamics and thermal scaling in an ultrathin Pt/Co/Pt magnetic film
• Thermal rounding of the depinning transition in ultrathin Pt/Co/Pt films
• Thermally activated flow in models of amorphous solids
• Excess velocity of magnetic domain walls close to the depinning field
• The yielding of amorphous solids at finite temperatures
• Strength and length-scale of the interaction between domain walls and pinning disorder in thin ferromagnetic films
• Thermally rounded depinning of an elastic interface on a washboard potential
• Domain-wall roughness in GdFeCo thin films: crossover length scales and roughness exponents
• Depinning of stiff directed lines in random media
• Corrections to scaling in the dynamic approach to the phase transition with quenched disorder
• Yielding and large deviations in micellar gels: a model
• Field-dependent roughness of moving domain walls in a Pt/Co/Pt magnetic thin film