Journal
PHYSICAL REVIEW E
Volume 82, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.82.020601
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Funding
- German Science Foundation (DFG) [436 RUS113/977/0-1, STR 1021/1-2]
- Russian Foundation for Basic Research [08-01-91959]
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We study the dynamics of a thin film over a substrate heated from below in a framework of a strongly nonlinear one-dimensional Cahn-Hilliard equation. The evolution leads to a fractalization into smaller and smaller scales. We demonstrate that a primitive element in the appearing hierarchical structure is a dissipative compacton. Both direct simulations and the analysis of a self-similar solution show that the compactons appear at superexponentially decreasing scales, which means vanishing dimension of the fractal.
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