Thermal rounding of the depinning transition

Abstract

We study thermal effects at the depinning transition by numerical simulations of driven one-dimensional elastic interfaces in a disordered medium. We find that the velocity of the interface, evaluated at the critical depinning force, can be correctly described with the power law $v\sim T^{\psi }$, where $\psi$ is the thermal exponent. Using the sample-dependent value of the critical force, we precisely evaluate the value of $\psi$ directly from the temperature dependence of the velocity, obtaining the value $\psi =0.15\pm 0.01$. By measuring the structure factor of the interface we show that both the thermally-rounded and the T=0 depinning, display the same large-scale geometry, described by an identical divergence of a characteristic length with the velocity $\xi \propto v^{-\nu /\beta }$, where $\nu$ and $\beta$ are respectively the T=0 correlation and depinning exponents. We discuss the comparison of our results with previous estimates of the thermal exponent and the direct consequences for recent experiments on magnetic domain wall motion in ferromagnetic thin films.

6 pages, 3 figures

References in corpus (10)

• Creep and flow regimes of magnetic domain wall motion in ultrathin Pt/Co/Pt films with perpendicular anisotropy
• Statistical Models of Fracture
• Width distribution of contact lines on a disordered substrate
• Dynamics below the depinning threshold
• Creep motion of an elastic string in a random potential
• Numerical Calculation of the Functional renormalization group fixed-point functions at the depinning transition
• Universal Statistics of the Critical Depinning Force of Elastic Systems in Random Media
• Depinning and creep motion in glass states of flux lines
• Short time relaxation of a driven elastic string in a random medium
• Universal distribution of threshold forces at the depinning transition

Cited by in corpus (27)

• Pinning dependent field driven domain wall dynamics and thermal scaling in an ultrathin Pt/Co/Pt magnetic film
• Creep dynamics of elastic manifolds via exact transition pathways
• Barkhausen noise from precessional domain wall motion
• Thermal rounding exponent of the depinning transition of an elastic string in a random medium
• Thermal rounding of the depinning transition in ultrathin Pt/Co/Pt films
• Scaling Description of Dynamical Heterogeneity and Avalanches of Relaxation in Glass-Forming Liquids
• Random-Manifold to Random-Periodic Depinning of an Elastic Interface
• Short-time domain-wall dynamics in the random-field Ising model with a driving field
• Temperature-induced crossovers in the static roughness of a one-dimensional interface
• Excess velocity of magnetic domain walls close to the depinning field
• Dynamic effect of overhangs and islands at the depinning transition in two-dimensional magnets
• Universality class of the depinning transition in the two-dimensional Ising model with quenched disorder
• Dynamics of vortex glass phase in strongly type II superconductors
• Relaxation-to-creep transition of domain-wall motion in two- dimensional random-field Ising model with ac driving field
• Model of bound interface dynamics for coupled magnetic domain walls
• Depinning phase transition in two-dimensional clock model with quenched randomness
• Depinning of stiff directed lines in random media
• Driven interfaces in random media at finite temperature : is there an anomalous zero-velocity phase at small external force ?
• Anisotropic finite-size scaling of an elastic string at the depinning threshold in a random-periodic medium
• On criticality of interface depinning and origin of "bump" in the avalanche distribution
• Thermal Effects in the dynamics of disordered elastic systems
• Intrinsic anomalous scaling in a ferromagnetic thin film model
• Nonsteady dynamics at the dynamic depinning transition in the two-dimensional Gaussian random-field Ising model
• Field-dependent roughness of moving domain walls in a Pt/Co/Pt magnetic thin film
• Dynamic phase diagram of plastically deformed amorphous solids at finite temperature
• Yielding versus random organization: convex absorbing transitions in soft matter
• Soil creep facilitated by cyclic variations of environmental conditions