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Coarsening in surface growth models without slope selection

Academic Article
Publication Date:
2000
abstract:
We study conserved models of crystal growth in one dimension (delta(t)z(x, t) = -delta(x)j(x,t)) which are linearly unstable and develop a mound structure whose typical size L increases in time (L similar to t(n)) If the local slope (m = delta(x)z) increases indefinitely, n depends on the exponent gamma characterizing the large-m behaviour of the surface current j (j similar to 1/\m\(gamma)): n = 1/4 for 1 less than or equal to gamma less than or equal to 3 and n = (1 + gamma)/(1 + 5 gamma) for gamma > 3.
Iris type:
01.01 Articolo in rivista
List of contributors:
Politi, Paolo; Torcini, Alessandro
Authors of the University:
POLITI PAOLO
TORCINI ALESSANDRO
Handle:
https://iris.cnr.it/handle/20.500.14243/274287
Published in:
JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL (PRINT)
Journal
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