Coarsening in surface growth models without slope selection
Paolo Politi; Alessandro Torcini
Журнал:
Journal of Physics A: Mathematical and General
Дата:
2000-03-03
Аннотация:
We study conserved models of crystal growth in one dimension ( <sub>t</sub> z (x ,t ) = - <sub>x</sub> j (x ,t )) which are linearly unstable and develop a mound structure whose typical size L increases in time (L ~t<sup>n</sup> ). If the local slope (m = <sub>x</sub> z ) increases indefinitely, n depends on the exponent characterizing the large-m behaviour of the surface current j (j ~1/|m |<sup> </sup> ): n = (1/4) for 1 3 and n = (1+ )/(1+5 ) for >3.
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