https://doi.org/10.1007/s100510070109
Sub-aging in a domain growth model
Laboratoire de Physique - ENS-Lyon and CNRS,
69364 Lyon Cedex 07, France
Received:
15
May
2000
Revised:
5
July
2000
Published online: 15 October 2000
We study analytically the aging dynamics of the
O(n) model in the limit of ,
with conserved and with non-conserved order parameter.
While in the non-conserved dynamics, the autocorrelation
function scales in the usual way
, in
the case of a conserved order parameter, `multiscaling'
manifests itself in the form
, with
a relaxation
time growing more slowly than the age of the system (sub-aging),
and h(t) a function growing faster
than any length scale of the problem.
In both cases, the effective temperature
associated to the violation of the fluctuation theorem
tends to infinity
in the asymptotic limit of large waiting times.
PACS: 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 75.40.Gb – Dynamic properties (dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc.) / 82.20.Mj – Nonequilibrium kinetics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000