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Transient instability in case II diffusion

✍ Scribed by Patrick Guidotti; John A. Pelesko

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
144 KB
Volume
36
Category
Article
ISSN
0887-6266

No coin nor oath required. For personal study only.

✦ Synopsis

A well-known model of one-dimensional Case II diffusion is reformulated in two dimensions. This 2-D model is used to study the stability of 1-D planar Case II diffusion to small spatial perturbations. An asymptotic solution based on the assumption of small perturbations and a small driving force is developed. This analysis reveals that while 1-D planar diffusion is indeed asymptotically stable to small spatial perturbations, it may exhibit a transient instability. That is, although any small perturbation is damped out over sufficiently long times, the amplitude of any perturbation initially grows with time.

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