2 research outputs found
Dynamic fluctuations of elastic lines in random environments
We study the fluctuations of the two-time dependent global roughness of
finite size elastic lines in a quenched random environment. We propose a
scaling form for the roughness distribution function that accounts for the
two-time, temperature, and size dependence. At high temperature and in the
final stationary regime before saturation the fluctuations are as the ones of
the Edwards-Wilkinson interface evolving from typical initial conditions. We
analyze the variation of the scaling function within the aging regime and with
the distance from saturation. We speculate on the relevance of our results to
describe the fluctuations of other non-equilibrium systems such as models at
criticality.Comment: 7 pages, 3 figure
Growing dynamical length, scaling and heterogeneities in the 3d Edwards-Anderson model
We study numerically spatio-temporal fluctuations during the
out-of-equilibrium relaxation of the three-dimensional Edwards-Anderson model.
We focus on two issues. (1) The evolution of a growing dynamical length scale
in the glassy phase of the model, and the consequent collapse of the
distribution of local coarse-grained correlations measured at different pairs
of times on a single function using {\it two} scaling parameters, the value of
the global correlation at the measuring times and the ratio of the coarse
graining length to the dynamical length scale (in the thermodynamic limit). (2)
The `triangular' relation between coarse-grained local correlations at three
pairs of times taken from the ordered instants .
Property (1) is consistent with the conjecture that the development of
time-reparametrization invariance asymptotically is responsible for the main
dynamic fluctuations in aging glassy systems as well as with other mechanisms
proposed in the literature. Property (2), we stress, is a much stronger test of
the relevance of the time-reparametrization invariance scenario.Comment: 24 pages, 12 fig