Elsevier

Physics Letters A

Volume 192, Issues 5–6, 12 September 1994, Pages 323-326
Physics Letters A

Nonlinear dynamics of dewetting: kinetically stable structures☆

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Abstract

A nonlinear equation is used to describe the nucleation and growth of dry zones in the process of dewetting of a solid surface covered by a liquid film. The equation has the same form as the Cahn equation of spinodal decomposition, and it has a set of space periodical unstable steady states. Numerical analysis of the 1-D model discovers kinetically stable patterns, i.e. the solution dwells on the unstable steady states for a very large time. Such a nonlinear dynamics was observed previously for some other models with conservation restraints.

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☆

This work was partially supported by the US Department of Energy Grant no DE-FG05-80ET-53088 and by the Enhanced Oil and Gas Recovery Research Program. The authors are grateful to Professor Robert S. Schechter for useful discussions.

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