Interfaces with a single growth inhomogeneity and anchored boundaries

Details Interfaces with a single growth inhomogeneity and anchored boundaries Interfaces with a single growth inhomogeneity and anchored boundaries

2003-04-21

arxiv.org/abs/cond-mat/0304454v1

Phys. Rev. E 68, 041603 (2003)

Physics

Condensed Matter

Statistical Mechanics

REVTeX, 11 pages, 9 Postscript figures

Scientific paper

10.1103/PhysRevE.68.041603

The dynamics of a one dimensional growth model involving attachment and detachment of particles is studied in the presence of a localized growth inhomogeneity along with anchored boundary conditions. At large times, the latter enforce an equilibrium stationary regime which allows for an exact calculation of roughening exponents. The stochastic evolution is related to a spin Hamiltonian whose spectrum gap embodies the dynamic scaling exponent of late stages. For vanishing gaps the interface can exhibit a slow morphological transition followed by a change of scaling regimes which are studied numerically. Instead, a faceting dynamics arises for gapful situations.

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