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Crossover and finite-size effects in the (1 + 1)-dimensional Kardar-Parisi-Zhang equation

Journal Article · · Journal of Statistical Physics; (United States)
DOI:https://doi.org/10.1007/BF01053591· OSTI ID:6877810
;  [1]
  1. Univ. de les Illes Balears, Palma de Mallorca (Spain)

Crossover scaling of the surface width in the Kardar-Parisi-Zhang equation for surface growth is studied numerically. By means of a perturbative solution of the discretized equation and by comparison with the exact solution of the corresponding linear equation, the finite-size effects due to the spatial discretization are carefully analyzed. The dependence on the nonlinearity of both the finite-size and asymptotic scaling forms is then investigated.

OSTI ID:
6877810
Journal Information:
Journal of Statistical Physics; (United States), Journal Name: Journal of Statistical Physics; (United States) Vol. 70:3-4; ISSN JSTPBS; ISSN 0022-4715
Country of Publication:
United States
Language:
English

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