Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-10-12
Physics
Condensed Matter
Statistical Mechanics
22 pages, including figures Submited to J. Phys.: Condens. Matter
Scientific paper
10.1088/0953-8984/19/2/026201
The propagation of damage on the square Ising lattice with a corner geometry is studied by means of Monte Carlo simulations. It is found that, just at $T=T_f (h)$ (critical temperature of the filling transition) the damage initially propagates along the interface of the competing domains, according to a power law given by $D(t) \propto t^{\eta}$. The value obtained for the dynamic exponent ($\eta^{*} = 0.89(1)$) is in agreement with that corresponding to the wetting transition in the slit geometry (Abraham Model) given by $\eta^{WT} = 0.91(1)$. However, for later times the propagation crosses to a new regime such as $\eta^{**} = 0.40 \pm 0.02$, which is due to the propagation of the damage into the bulk of the magnetic domains. This result can be understood due to the constraints imposed to the propagation of damage by the corner geometry of the system that cause healing at the corners where the interface is attached.
Albano Ezequiel V.
Rubio Puzzo Leticia M.
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