Kinetic roughening in fiber deposition

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Journal Title
Journal ISSN
Volume Title
School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
1998
Major/Subject
Mcode
Degree programme
Language
en
Pages
1125-1131
Series
Physical Review E, Volume 58, Issue 1
Abstract
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 Lf are deposited randomly on a lattice and upon deposition allowed to bend down locally by a distance determined by the flexibility parameter Tf. For Tf<∞ 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 Tf and develop analytic arguments to explain the simulation results in the limit of small and large tilts.
Description
Keywords
fibers, kinetic roughening
Other note
Citation
Vinnurva, J. & Alava, M. & Ala-Nissilä, Tapio & Krug, J. 1998. Kinetic roughening in fiber deposition. Physical Review E. Volume 58, Issue 1. P. 1125-1131. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.58.1125.