Growing length scales during aging in 2d disordered systems

Abstract

The non-equilibrium dynamics of three paradigmatic models for two-dimensional systems with quenched disorder is studied with a focus on the existence and analysis of a growing length scale during aging at low temperatures: 1) The random bond Ising ferromagnet, 2) the Edwards-Anderson model for a spin glas, 3) the solid-on-solid model on a disordered substrate (equivalent to the sine-Gordon model with random phase shifts). Interestingly, we find in all three models a length scale that grows algebraically with time (up to the system size in cases 1 and 3, up to the finite equilibrium length in case 2) with a temperature dependent growth exponent. Whereas in cases 1 and 2 this length scale characterizes a coarsening process, it represents in case 3 the growing size of fluctuations during aging.

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Cited by in corpus (14)

• Non-equilibrium relaxation of an elastic string in a random potential
• Ageing in disordered magnets and local scale-invariance
• Superuniversality in phase-ordering disordered ferromagnets
• Topics in coarsening phenomena
• Eigenvalue method to compute the largest relaxation time of disordered systems
• Dynamical scaling in Ising and vector spin glasses
• Glassy dynamics as a melting process (On melting dynamics and the glass transition, Part II)
• Geometric properties of two-dimensional coarsening with weak disorder
• Exact Algorithm for Sampling the 2D Ising Spin Glass
• Non equilibrium dynamics of disordered systems : understanding the broad continuum of relevant time scales via a strong-disorder RG in configuration space
• Non-equilibrium dynamics of finite-dimensional disordered systems : RG flow towards an "infinite disorder" fixed point at large times
• Growth Kinetics and Aging Phenomena in a Frustrated System
• Equilibrium structure and off-equilibrium kinetics of a magnet with tunable frustration
• 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