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.

References in corpus (30)

• Creep and flow regimes of magnetic domain wall motion in ultrathin Pt/Co/Pt films with perpendicular anisotropy
• Statistical Models of Fracture
• Creep and depinning in disordered media
• Velocity of domain-wall motion induced by electrical current in a ferromagnetic semiconductor (Ga,Mn)As
• 2-loop Functional Renormalization Group Theory of the Depinning Transition
• Domain wall roughness in epitaxial ferroelectric PbZr0.2Ti0.8O3 thin films
• Pinning and Sliding of Driven Elastic Systems: from Domain Walls to Charge Density Waves
• Roughness at the depinning threshold for a long-range elastic string
• Depinning of elastic manifolds
• Can crack front waves explain the roughness of cracks ?
• Hysteretic dynamics of domain walls at finite temperatures
• Width distribution of contact lines on a disordered substrate
• Dynamics below the depinning threshold
• Creep dynamics of elastic manifolds via exact transition pathways
• Creep motion of an elastic string in a random potential
• Depinning transition and thermal fluctuations in the random-field Ising model
• Thermal rounding of the depinning transition
• Creep via dynamical functional renormalization group
• Critical exponents of the driven elastic string in a disordered medium
• Thermal Rounding of the Charge Density Wave Depinning Transition
• Influence of the temperature on the depinning transition of driven interfaces
• Depinning and creep motion in glass states of flux lines
• Ageing memory and glassiness of a driven vortex system
• Short time relaxation of a driven elastic string in a random medium
• Dynamic binding of driven interfaces in coupled ultrathin ferromagnetic layers
• Interface Motion in Random Media at Finite Temperature
• Universal depinning force fluctuations of an elastic line: Application to finite temperature behavior
• Depinning of domain walls with an internal degree of freedom
• Random-Manifold to Random-Periodic Depinning of an Elastic Interface
• Universal non stationary dynamics at the depinning transition

Cited by in corpus (24)

• 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
• Pinning of Domain Walls in thin Ferromagnetic Films
• Non-steady relaxation and critical exponents at the depinning transition
• Universal Depinning Transition of Domain Walls in Ultrathin Ferromagnets
• Numerical Approaches on Driven Elastic Interfaces in Random Media
• Magnetic domain wall creep and depinning: a scalar field model approach
• Thermal rounding of the depinning transition in ultrathin Pt/Co/Pt films
• Thermally activated flow in models of amorphous solids
• Common universal behaviors of magnetic domain walls driven by spin-polarized electrical current and magnetic field
• Creep and thermal rounding close to the elastic depinning threshold
• 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
• Field theory of disordered systems -- Avalanches of an elastic interface in a random medium
• Thermally rounded depinning of an elastic interface on a washboard potential
• On the critical region of long-range depinning transitions
• Domain-wall roughness in GdFeCo thin films: crossover length scales and roughness exponents
• Benchmarking the nonperturbative functional renormalization group approach on the random elastic manifold model in and out of equilibrium
• Depinning of stiff directed lines in random media
• Creep dynamics of viscoelastic interfaces
• 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