Surface Width Exponents for Three- and Four-Dimensional Eden Growth
In: EPL (Europhysics Letters), Vol. 450 (1987), No. 6, pp. 651 - 656
Title:
Surface Width Exponents for Three- and Four-Dimensional Eden Growth
Author:
Wolf, DietrichUDE
- GND
- 1273280393
- LSF ID
- 1114
- Other
- connected with university
Year of publication:
1987
Appears in
Title in English (abbreviated):
Europhys. Lett.
Place of publication:
Les-Ulis
Publisher:
Institute of Physics Publishing
in:
Vol. 450 (1987), No. 6, pp. 651 - 656
ISSN
ISSN
ZDB ID
ZDB ID
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Abstract:
By means of noise reduction we investigate the scaling behaviour of the surface width w of d-dimensional Eden clusters growing on flat substrates of linear extent L. We find that w scales for small average deposit height h as hβ, and in the steady state as Lα. Our results for d = 3 (α = 0.33 ± 0.01, β = 0.22 ± 0.02) and for d = 4 (α = 0.24 ± 0.02, β = 0.146 ± 0.015) support the scaling relation α(1 + 1/β) = 2. They suggest that α instead of being superuniversal might be equal to 1/d.