Growing length scales during aging in 2d disordered systems

Details Growing length scales during aging in 2d disordered systems Growing length scales during aging in 2d disordered systems

2004-11-09

arxiv.org/abs/cond-mat/0411234v1

Prog. Theor. Phys. Suppl. 157, 111 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, needs ptp style files

Scientific paper

10.1143/PTPS.157.111

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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