https://doi.org/10.1140/epjb/e2004-00070-8
Slow dynamics due to entropic barriers in the one-dimensional 'descent model'
Laboratoire de Physique Théorique, IRSAMC – UMR CNRS/UPS 5152,
Université Paul Sabatier,
118 route de Narbonne, 31062 Toulouse Cedex 04, France
Corresponding author: a desoutter@irsamc.ups-tlse.fr
Received:
19
February
2003
Revised:
22
July
2003
Published online:
2
April
2004
We propose a novel one-dimensional simple model without disorder
exhibiting slow dynamics and aging at the zero temperature limit. This
slow dynamics is due to entropic barriers. We exactly solve the
statics of the model. We derive an evolution equation for the slow
modes of the dynamics which are responsible for the aging. This
equation is equivalent to a random walker on the energetic landscape. This
latter elementary model can be solved analytically up to some basic approximations
and is shown to present aging by itself, as well as a slow logarithmic relaxation
of the energy: at large t.
PACS: 02.50.Ey – Stochastic processes / 05.70.Ln – Nonequilibrium thermodynamics, irreversible processes
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004