Kinetic roughening in fiber deposition

We consider the kinetic roughening of growing interfaces in a simple model of fiber deposition [K. J. Niskanen and M. J. Alava, Phys. Rev. Lett. 73, 3475 (1994)]. Fibers of length Li are deposited randomly on a lattice and upon deposition allowed to bend down locally by a distance determined by the flexibility parameter T-f. For Tf < infinity overhangs are allowed and pores develop in the bulk of the deposit, which leads to kinetic roughening of the growing surface. We have numerically determined the asymptotic scaling exponents for a one-dimensional version of the model and :find that they are compatible with the Kardar-Parisi-Zhang equation. We study in detail the dependence of the tilt-dependent growth velocity on T-f and develop analytic arguments to explain the simulation results in the limit of small and large tilts.