Self-similar morphology and dynamics of periodic surface profiles below the roughening transition

Johannes Hager; Herbert Spohn

doi:10.1016/0039-6028(94)00771-3

Self-similar morphology and dynamics of periodic surface profiles below the roughening transition

Johannes Hager, Herbert Spohn

University of Munich

Research output: Contribution to journal › Article › peer-review

38 Scopus citations

Abstract

We study the relaxation of surface profiles by solving numerically the continuum equations as a free boundary problem. For surface diffusion we obtain a nearly linear decay of the profile height in the scaling regime. For evaporation dynamics there are two distinct self-similar solutions depending on the functional form of the surface mobility.

Original language	English
Pages (from-to)	365-372
Number of pages	8
Journal	Surface Science
Volume	324
Issue number	2-3
DOIs	https://doi.org/10.1016/0039-6028(94)00771-3
State	Published - 10 Feb 1995
Externally published	Yes

Keywords

Models of non-equilibrium phenomena
Models of surface kinetics
Solid-gas interfaces

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10.1016/0039-6028(94)00771-3

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title = "Self-similar morphology and dynamics of periodic surface profiles below the roughening transition",

abstract = "We study the relaxation of surface profiles by solving numerically the continuum equations as a free boundary problem. For surface diffusion we obtain a nearly linear decay of the profile height in the scaling regime. For evaporation dynamics there are two distinct self-similar solutions depending on the functional form of the surface mobility.",

keywords = "Models of non-equilibrium phenomena, Models of surface kinetics, Solid-gas interfaces",

author = "Johannes Hager and Herbert Spohn",

year = "1995",

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doi = "10.1016/0039-6028(94)00771-3",

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T1 - Self-similar morphology and dynamics of periodic surface profiles below the roughening transition

AU - Hager, Johannes

AU - Spohn, Herbert

PY - 1995/2/10

Y1 - 1995/2/10

N2 - We study the relaxation of surface profiles by solving numerically the continuum equations as a free boundary problem. For surface diffusion we obtain a nearly linear decay of the profile height in the scaling regime. For evaporation dynamics there are two distinct self-similar solutions depending on the functional form of the surface mobility.

AB - We study the relaxation of surface profiles by solving numerically the continuum equations as a free boundary problem. For surface diffusion we obtain a nearly linear decay of the profile height in the scaling regime. For evaporation dynamics there are two distinct self-similar solutions depending on the functional form of the surface mobility.

KW - Models of non-equilibrium phenomena

KW - Models of surface kinetics

KW - Solid-gas interfaces

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U2 - 10.1016/0039-6028(94)00771-3

DO - 10.1016/0039-6028(94)00771-3

M3 - Article

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VL - 324

SP - 365

EP - 372

JO - Surface Science

JF - Surface Science

IS - 2-3

ER -

Self-similar morphology and dynamics of periodic surface profiles below the roughening transition

Abstract

Keywords

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