Journal
PHYSICAL REVIEW LETTERS
Volume 104, Issue 8, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.104.084501
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Funding
- EPSRC [EP/E046029]
- Engineering and Physical Sciences Research Council [EP/E046029/1] Funding Source: researchfish
- EPSRC [EP/E046029/1] Funding Source: UKRI
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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.
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