THE DEPTH OF A STEEP EVAPORATING GRAIN-BOUNDARY GROOVE - APPLICATION OF COMPARISON-THEOREMS

Authors
ARRIGO DJ BROADBRIDGE P TRITSCHER P KARCIGA Y
Citation
Dj. Arrigo et al., THE DEPTH OF A STEEP EVAPORATING GRAIN-BOUNDARY GROOVE - APPLICATION OF COMPARISON-THEOREMS, Mathematical and computer modelling, 25(10), 1997, pp. 1-8
Citations number
11
Categorie Soggetti
Mathematics,Mathematics,"Computer Science Interdisciplinary Applications","Computer Science Software Graphycs Programming
Journal title
Mathematical and computer modelling → ACNP
ISSN journal
08957177
Volume
25
Issue
10
Year of publication
1997
Pages
1 - 8
Database
ISI
SICI code
0895-7177(1997)25:10<1:TDOASE>2.0.ZU;2-O
Abstract
The nonlinear Mullins diffusion equation for the development of a surf ace groove by evaporation-condensation is reconsidered. Comparison the orems for differential equations are employed to obtain upper and lowe r bounds on the profile of the groove itself and on the growth rate of the groove at the grain boundary It is shown that as the dihedral ang le at the grain boundary approaches zero, the groove growth rate diver ges logarithmically. This phenomenon is in disparity with the finite g rowth rate found in the development of grooves by surface diffusion.