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Front propagation in a phase field model with phase-dependent heat absorption

Citation

Blyuss, KB and Ashwin, P and Wright, CD and Bassom, AP, Front propagation in a phase field model with phase-dependent heat absorption, Physica D - Nonlinear Phenomena, 215, (2) pp. 127-136. ISSN 0167-2789 (2006) [Refereed Article]

Copyright Statement

Copyright 2006 Elsevier Ltd.

DOI: doi:10.1016/j.physd.2006.01.024

Abstract

We present a model for the spatio-temporal behaviour of films exposed to radiative heating, where the film can change reversibly between amorphous (glassy) and crystalline states. Such phase-change materials are used extensively in read-write optical disk technology. In cases where the heat absorption of the crystal phase is less than that in the amorphous state, we find that there is a bi-stability of the phases. We investigate the spatial behaviours that are a consequence of this property and use a phase field model for the spatio-temporal dynamics in which the phase variable is coupled to a suitable temperature field. It is shown that travelling wave solutions of the system exist and, depending on the precise system parameters, these waves can take a range of forms and velocities. Some examples of possible dynamical behaviours are discussed and, in particular, we demonstrate that the waves may collide and annihilate. The longitudinal and transverse stability of the travelling waves are examined using an Evans function method which suggests that the fronts are stable structures

Item Details

Item Type:Refereed Article
Keywords:Phase field; Phase-change materials; Stability; Travelling fronts
Research Division:Mathematical Sciences
Research Group:Applied Mathematics
Research Field:Theoretical and Applied Mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Bassom, AP (Professor Andrew Bassom)
ID Code:107351
Year Published:2006
Web of Science® Times Cited:3
Deposited By:Mathematics and Physics
Deposited On:2016-03-11
Last Modified:2016-07-08
Downloads:0

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