Coarsening in the presence of kinetic disorders: analogy to granular compaction.
We study the zero temperature dynamics in an Ising chain in the presence of a dynamically induced field that favors locally the " -" phase compared to the " +" phase. At late times, while the " +" domains coarsen as t(1/2), the " -" domains coarsen as t(1/2)log(t). Hence, at late times, the magnetization decays slowly as m(t) = -1+const/log(t). We establish this behavior both analytically within an independent interval approximation and numerically. Our model can be viewed as a simple model for granular compaction, where the system decays into a fully compact state (with all spins " -") in a slow logarithmic manner as seen in recent experiments on granular systems.
Majumdar
S N
SN
Laboratoire de Physique Quantique, UMR C5626 du CNRS, Université Paul Sabatier, Toulouse, France.
Dean
D S
DS
Grassberger
P
P