https://doi.org/10.1007/s100510051192
Response function of coarsening systems
1
Laboratoire de Physique, ENS-Lyon and CNRS, 69364, Lyon Cedex 07, France
2
Département de Physique des Matériaux, Université Claude
Bernard and CNRS, 69622 Villeurbanne Cedex, France
Corresponding author: a ludovic.berthier@ens-lyon.fr
Received:
8
March
1999
Published online: 15 October 1999
The response function of domain growth processes, and in particular the
violation of the fluctuation-dissipation theorem,
are studied both analytically and numerically.
In the asymptotic limit of large times,
the fluctuation-dissipation ratio X, which quantifies this violation,
tends to one if and to zero if
, corresponding to the fast ("bulk" ) and slow ("domain-wall" ) responses, respectively. In this paper,
we focus on the
pre-asymptotic behavior of the domain-wall response. This response is shown to
scale with the typical domain length L(t)
as 1/L(t) for dimension d> 2, and as
for d=2. Numerical results confirming this
analysis are presented.
PACS: 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 75.40.Gb – Gb Dynamic properties (dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc.) / 75.40.Mg – Numerical simulation studies
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999