Morphological instabilities model

Periodic oscillations have been observed as a morphological instability in several systems grown under various conditions [148]. The correspondence of the observed structures with results of theoretical modelling [139,149] is striking. 

To address the incorporation of non-cryslalline phases in polycrystalline diamond films and the morphological instabilities at high growth rates, Ravil conducted an experimental investigation of the combustion synthesis of diamond and proposed a model for the development of morphological instabilities in diamond films, as schematically depicted... 

While analyzing the above-presented models, one realizes that the problem of mode choice cannot be unambiguously solved within the solution of mass transfer equation. This makes it necessary to consider thermodynamic or kinetic approaches to the analysis of transformation front stability and to choose a certain contact zone morphology. From the point of view of kinetics, the interphase boundary instability may be caused either by instabihty with respect to fluctuations of the boundary shape [15-17] or by the failure of balance equations for fluxes at the moving boundaries [16]. From a thermodynamic viewpoint, the problem of choice of one kinetically allowed mode can be solved using the variation principles of nonequilibrium thermodynamics [18-29],... 

Pawlak A, Galeski A (2005) Plastic deformation of crystalline polymers the role of cavitation and crystal plasticity. Macromolecules 38 9688-9697 Peterlin A (1971) Molecular model of drawing polyethylene and polypropylene. J Mater Sci 6 490 Popli R, Mandelkem L (1987) Influence of structural and morphological factors on the mechanical properties of the polyethylenes. J Polym Sci B Polym Phys 25 441 Read D, Duckett R, Sweeny J, Mcleish T (1999) The chevron folding instability in thermoplastic elastomers and other layered material. J Phys D Appl Phys 32 2087-2099 Resconi L, Cavallo L, Fait A, Piemontesi F (2000) Selectivity in propene polymerization with metallocene catalysts. Chem Rev 100 1253... 

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