Functional Renormalization for pinned elastic systems away from their steady states

Abstract

Using one loop functional RG we study two problems of pinned elastic systems away from their equilibrium or steady states. The critical regime of the depinning transition is investigated starting from a flat initial condition. It exhibits non trivial two-time dynamical regimes with exponents and scaling functions obtained in a dimensional expansion. The aging and equilibrium dynamics of the super-rough glass phase of the random Sine-Gordon model at low temperature is found to be characterized by a single dynamical exponent $z\approx c/T$, where $c$ compares well with recent numerical work. This agrees with the thermal boundary layer picture of pinned systems.

5 pages

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Cited by in corpus (24)

• Non-equilibrium relaxation of an elastic string in a random potential
• Growing correlations and aging of an elastic line in a random potential
• A Crash Course on Aging
• Thermal quench effects on ferroelectric domain walls
• Short time relaxation of a driven elastic string in a random medium
• Superuniversality in phase-ordering disordered ferromagnets
• Nonstationary dynamics of the Alessandro-Beatrice-Bertotti-Montorsi model
• Critical aging of a ferromagnetic system from a completely ordered state
• Out-of-equilibrium relaxation of the Edwards-Wilkinson elastic line
• Universal non stationary dynamics at the depinning transition
• Different universality classes at the yielding transition of amorphous systems
• Field theory of disordered systems -- Avalanches of an elastic interface in a random medium
• Non-equilibrium critical dynamics in disordered ferromagnets
• Disordered free fermions and the Cardy Ostlund fixed line at low temperature
• Glassy dynamics, aging and thermally activated avalanches in interface pinning at finite temperatures
• Super-rough phase of the random-phase sine-Gordon model: Two-loop results
• Non Markovian persistence in the diluted Ising model at criticality
• Dynamical response function of the disordered kinetic Ising model
• On mean field theory for ac-driven elastic interfaces exposed to disorder
• Perturbation theory for ac-driven interfaces in random media
• Theory and Experiments for Disordered Elastic Manifolds, Depinning, Avalanches, and Sandpiles
• Spatio-temporal scaling for out-of-equilibrium relaxation dynamics of an elastic manifold in random media: crossover between the Larkin regime and thermally activated regime
• Numerical Simulations of Random Phase Sine-Gordon Model and Renormalization Group Predictions
• Elasto-plastic models of the yielding transition with stress-dependent transition rates