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Article Dans Une Revue Physical Review Letters Année : 2005

Can non-linear elasticity explain contact-line roughness at depinning?

Résumé

We examine whether cubic non-linearities, allowed by symmetry in the elastic energy of a contact line, may result in a different universality class at depinning. Standard linear elasticity predicts a roughness exponent zeta=1/3 (one loop), zeta=0.39 (numerics) while experiments give zeta of about 0.5. Within functional RG we find that a non-local KPZ-type term is generated at depinning and grows under coarse graining. A fixed point with zeta=0.45 (one loop) is identified, showing that large enough cubic terms increase the roughness. This fixed point is unstable, revealing a rough strong-coupling phase. Experimental study of contact angles theta near pi/2, where cubic terms vanish in the energy, is suggested.

Dates et versions

hal-00172151 , version 1 (14-09-2007)

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Pierre Le Doussal, Kay Joerg Wiese, Elie Raphael, Ramin Golestanian. Can non-linear elasticity explain contact-line roughness at depinning?. Physical Review Letters, 2005, 96, pp.015702. ⟨hal-00172151⟩
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