J. Vinnurva et al., KINETIC ROUGHENING IN FIBER DEPOSITION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(1), 1998, pp. 1125-1131
We consider the kinetic roughening of growing interfaces in a simple m
odel of fiber deposition [K. J. Niskanen and M. J. Alava, Phys. Rev. L
ett. 73, 3475 (1994)]. Fibers of length Li are deposited randomly on a
lattice and upon deposition allowed to bend down locally by a distanc
e determined by the flexibility parameter T-f. For Tf < infinity overh
angs are allowed and pores develop in the bulk of the deposit, which l
eads to kinetic roughening of the growing surface. We have numerically
determined the asymptotic scaling exponents for a one-dimensional ver
sion of the model and :find that they are compatible with the Kardar-P
arisi-Zhang equation. We study in detail the dependence of the tilt-de
pendent growth velocity on T-f and develop analytic arguments to expla
in the simulation results in the limit of small and large tilts.