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Two-Dimensional Droplet Spreading over Random Topographical Substrates

Savva, Nikos, Kalliadasis, Serafim and Pavliotis, Grigorios A. 2010. Two-Dimensional Droplet Spreading over Random Topographical Substrates. Physical Review Letters 104 (8) , 084501. 10.1103/PhysRevLett.104.084501

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Abstract

We examine theoretically the effects of random topographical substrates on the motion of two-dimensional droplets via statistical approaches, by representing substrate families as stationary random functions. The droplet shift variance at both early times and in the long-time limit is deduced and the droplet footprint is found to be a normal random variable at all times. It is shown that substrate roughness inhibits wetting, illustrating also the tendency of the droplet to slide without spreading as equilibrium is approached. Our theoretical predictions are verified by numerical experiments.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: American Physical Society
ISSN: 0031-9007
Last Modified: 04 Jun 2017 03:50
URI: http://orca.cf.ac.uk/id/eprint/27705

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