Interface Motion in Random Media at Finite Temperature

Abstract

We have studied numerically the dynamics of a driven elastic interface in a random medium, focusing on the thermal rounding of the depinning transition and on the behavior in the $T=0$ pinned phase. Thermal effects are quantitatively more important than expected from simple dimensional estimates. For sufficient low temperature the creep velocity at a driving force equal to the $T=0$ depinning force exhibits a power-law dependence on $T$, in agreement with earlier theoretical and numerical predictions for CDW's. We have also examined the dynamics in the $T=0$ pinned phase resulting from slowly increasing the driving force towards threshold. The distribution of avalanche sizes $S_{\Vert }$ decays as $S_{\Vert }^{-1-\kappa }$, with $\kappa =0.05\pm 0.05$, in agreement with recent theoretical predictions.

harvmac.tex, 30 pages, including 9 figures, available upon request. SU-rm-940731

References in corpus (6)

• Interface Depinning in a Disordered Medium - Numerical Results
• Universality Classes for Interface Growth with Quenched Disorder
• Avalanches and the Renormalization Group for Pinned Charge-Density Waves
• Elastic String in a Random Potential
• Thermal Rounding of the Charge Density Wave Depinning Transition
• Avalanches and Correlations in Driven Interface Depinning

Cited by in corpus (26)

• Creep and depinning in disordered media
• Dynamics below the depinning threshold
• 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
• Pinning of Domain Walls in thin Ferromagnetic Films
• Creep motion of an elastic string in a random potential
• Numerical Calculation of the Functional renormalization group fixed-point functions at the depinning transition
• Non-steady relaxation and critical exponents at the depinning transition
• Thermal rounding of the depinning transition
• Numerical Approaches on Driven Elastic Interfaces in Random Media
• Short time relaxation of a driven elastic string in a random medium
• Thermal rounding exponent of the depinning transition of an elastic string in a random medium
• Universal depinning force fluctuations of an elastic line: Application to finite temperature behavior
• Thermal rounding of the depinning transition in ultrathin Pt/Co/Pt films
• Random-Manifold to Random-Periodic Depinning of an Elastic Interface
• Thermally activated flow in models of amorphous solids
• Creep and thermal rounding close to the elastic depinning threshold
• Statistical properties of Barkhausen noise in amorphous ferromagnetic films
• Front propagation in random media: From extremal to activated dynamics
• Thermally rounded depinning of an elastic interface on a washboard potential
• Effect of disorder geometry on the critical force in disordered elastic systems
• On the critical region of long-range depinning transitions
• Tuning Ginzburg-Landau theory to quantitatively study thin ferromagnetic materials
• Anisotropic finite-size scaling of an elastic string at the depinning threshold in a random-periodic medium
• Driven interfaces in random media at finite temperature : is there an anomalous zero-velocity phase at small external force ?
• Yielding versus random organization: convex absorbing transitions in soft matter