Critical dynamics of contact line depinning

The depinning of a contact line is studied as a dynamical critical phenomenon by a functional renormalization group technique. In D=2-ε interface dimensions, the roughness exponent is ζ=ε/3 to all orders in perturbation theory. Thus, ζ=1/3 for the contact line, equal to the Imry-Ma estimate of Huse for the equilibrium roughness. The dynamical exponent is z=1-2ε/9+O(${\mathrm{\epsilon }}^2$)