Anomalous roughening in three-dimensional polynucleation growth

C. Lehner; N. Rajewsky; D. E. Wolf; J. Kertész

doi:10.1016/0378-4371(91)90102-I

Anomalous roughening in three-dimensional polynucleation growth

C. Lehner^*, N. Rajewsky, D. E. Wolf, J. Kertész

^*Corresponding author for this work

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Abstract (may include machine translation)

The surface properties of the three-dimensional polynucleation growth model were studied at the kinetic roughening transition. The dependence of the surface width w on time t and linear size L of the substrate is determined by anomalous roughening: w^x∼log[Lt̃f(t/L^z')] where t̃f is a scaling function. For the exponents x = 2.8±0.2 and z' = 1.79±0.05 were found, the latter being related to directed percolation.

Original language	English
Pages (from-to)	81-90
Number of pages	10
Journal	Physica A: Statistical Mechanics and its Applications
Volume	164
Issue number	1
DOIs	https://doi.org/10.1016/0378-4371(91)90102-I
State	Published - 15 Mar 1990
Externally published	Yes

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title = "Anomalous roughening in three-dimensional polynucleation growth",

abstract = "The surface properties of the three-dimensional polynucleation growth model were studied at the kinetic roughening transition. The dependence of the surface width w on time t and linear size L of the substrate is determined by anomalous roughening: wx∼log[L{\~t}f(t/Lz')] where {\~t}f is a scaling function. For the exponents x = 2.8±0.2 and z' = 1.79±0.05 were found, the latter being related to directed percolation.",

author = "C. Lehner and N. Rajewsky and Wolf, {D. E.} and J. Kert{\'e}sz",

year = "1990",

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AU - Lehner, C.

AU - Rajewsky, N.

AU - Wolf, D. E.

AU - Kertész, J.

PY - 1990/3/15

Y1 - 1990/3/15

N2 - The surface properties of the three-dimensional polynucleation growth model were studied at the kinetic roughening transition. The dependence of the surface width w on time t and linear size L of the substrate is determined by anomalous roughening: wx∼log[Lt̃f(t/Lz')] where t̃f is a scaling function. For the exponents x = 2.8±0.2 and z' = 1.79±0.05 were found, the latter being related to directed percolation.

AB - The surface properties of the three-dimensional polynucleation growth model were studied at the kinetic roughening transition. The dependence of the surface width w on time t and linear size L of the substrate is determined by anomalous roughening: wx∼log[Lt̃f(t/Lz')] where t̃f is a scaling function. For the exponents x = 2.8±0.2 and z' = 1.79±0.05 were found, the latter being related to directed percolation.

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U2 - 10.1016/0378-4371(91)90102-I

DO - 10.1016/0378-4371(91)90102-I

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JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1

ER -

Anomalous roughening in three-dimensional polynucleation growth

Abstract (may include machine translation)

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