Kinetic roughening in fiber deposition

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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en

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Physical Review E, Volume 58, issue 1, pp. 1125-1131

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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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Vinnurva, J, Alava, M, Ala-Nissilä, T & Krug, J 1998, 'Kinetic roughening in fiber deposition', Physical Review E, vol. 58, no. 1, pp. 1125-1131. https://doi.org/10.1103/PhysRevE.58.1125