Kinetic roughening in fiber deposition

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© 1998 American Physical Society (APS). http://www.aps.org
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Journal Title

Journal ISSN

Volume Title

School of Science | A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Date

1998

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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.

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Keywords

fibers, kinetic roughening

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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.