Bifurcation diagrams and dissipative structures formation in noncrystalline materials

Alexei Shatalov; Michael Maryan; Alexander A. Kikineshy

doi:10.1117/12.237080

26 April 1996 Bifurcation diagrams and dissipative structures formation in noncrystalline materials

Alexei Shatalov, Michael Maryan, Alexander A. Kikineshy

Proceedings Volume 2779, 3rd International Conference on Intelligent Materials and 3rd European Conference on Smart Structures and Materials; (1996) https://doi.org/10.1117/12.237080
Event: 3rd International Conference on Intelligent Materials, 1996, Lyon, France

Abstract

A model is proposed to describe crystal-liquid (liquid-crystal) equilibrium phase transition, emergence of bifurcations in non-equilibrium systems and dissipative structures formation in noncrystalline materials. We have investigated temperature dependencies of the share of atoms in liquid-like states and mean-square atomic displacements, in which regions corresponding to stable (crystal, liquid), metastable (superheated crystal, supercooled liquid) and virtual states are present. It is shown that system transits into non-equilibrium state when the melt freezing rate increases. Bifurcation diagrams, which define parameters deviations from their equilibrium values, when freezing rate is different are plotted. Process of dissipative structures formation in noncrystalline materials is described and their characteristics: life time and spatial sizes are defined.

Citation Download Citation

Alexei Shatalov, Michael Maryan, and Alexander A. Kikineshy "Bifurcation diagrams and dissipative structures formation in noncrystalline materials", Proc. SPIE 2779, 3rd International Conference on Intelligent Materials and 3rd European Conference on Smart Structures and Materials, (26 April 1996); https://doi.org/10.1117/12.237080

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