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Journal Article

Nonlocal dynamics of spontaneous imbibition fronts


Herminghaus,  Stephan
Group Granular matter and irreversibility, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Geromichalos, D., Mugele, F., & Herminghaus, S. (2002). Nonlocal dynamics of spontaneous imbibition fronts. Physical Review Letters, 89(10): 104503. doi:10.1103/PhysRevLett.89.104503.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-A9C7-D
We have studied spontaneous imbibition fronts generated by capillary rise between two roughened glass plates, the separation d of which varied between 10 and 50   μm. Perfect agreement with Washburn’s law was obtained. We have determined the roughness exponent χ of the fronts, and found χ=0.81±0.01 for small length scales. Above a certain crossover length ξ, it reached χ=0.58±0.04, as predicted by the quenched noise Kardar-Parisi-Zhang equation. The crossover length is found to scale with the plate separation as d√, as predicted by recent models which properly include nonlocal dynamics effects on the front. We believe this to be the first clear identification of crossover from nonlocal to local dynamics.