Width distribution of contact lines on a disordered substrate.

We have studied the roughness of a contact line on a disordered substrate by measuring its width distribution, which characterizes the roughness completely. The measured distribution is in excellent agreement with the distribution calculated in previous works, extended here to the case of open boundary conditions. This type of analysis, which is performed here on experimental data, provides a strong confirmation that the Joanny-de Gennes model is not sufficient to describe the dynamics of the contact line at the depinning threshold.

[1]  From individual to collective pinning: Effect of long-range elastic interactions , 1998, cond-mat/9804105.

[2]  J. Joanny,et al.  Motion of a contact line on a heterogeneous surface , 1990 .

[3]  Alberto Rosso,et al.  Origin of the Roughness Exponent in Elastic Strings at the Depinning Threshold , 2001 .

[4]  Christensen,et al.  Universal fluctuations in correlated systems , 1999, Physical review letters.

[5]  Jean Schmittbuhl,et al.  Direct Observation of a Self-Affine Crack Propagation , 1997 .

[6]  P Chauve,et al.  Renormalization of pinned elastic systems: how does it work beyond one loop? , 2001, Physical review letters.

[7]  Narayan,et al.  Threshold critical dynamics of driven interfaces in random media. , 1993, Physical review. B, Condensed matter.

[8]  Zia,et al.  Width distribution of curvature-driven interfaces: A study of universality. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[9]  Mark O. Robbins,et al.  Contact angle hysteresis on random surfaces , 1987 .

[10]  C. Chappert,et al.  DOMAIN WALL CREEP IN AN ISING ULTRATHIN MAGNETIC FILM , 1998 .

[11]  J. Schmittbuhl,et al.  High resolution description of a crack front in a heterogeneous Plexiglas block. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[12]  P. G. de Gennes,et al.  A model for contact angle hysteresis , 1984 .

[13]  E. Rolley,et al.  Roughness and dynamics of a contact line of a viscous fluid on a disordered substrate , 2002, The European physical journal. E, Soft matter.

[14]  Technology,et al.  Domain wall creep in epitaxial ferroelectric Pb(Zr(0.2)Ti(0.08)O(3) thin films. , 2002, Physical review letters.

[15]  Y. Pomeau,et al.  Contact angle on heterogeneous surfaces: Weak heterogeneities , 1985 .

[16]  A. Prevost,et al.  Dynamics of a helium-4 meniscus on a strongly disordered cesium substrate , 2002 .

[17]  P. Le Doussal,et al.  Higher correlations, universal distributions, and finite size scaling in the field theory of depinning. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  Zia,et al.  Width distribution for random-walk interfaces. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[19]  Daniel S. Fisher,et al.  ONSET OF PROPAGATION OF PLANAR CRACKS IN HETEROGENEOUS MEDIA , 1997, cond-mat/9712181.

[20]  Pierre Le Doussal,et al.  Renormalization of Pinned Elastic Systems , 2001 .

[21]  Kardar,et al.  Critical dynamics of contact line depinning. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[22]  Wandering of a contact line at thermal equilibrium. , 1998, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[23]  Alberto Rosso,et al.  Roughness at the depinning threshold for a long-range elastic string. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  S. Garoff,et al.  Contact Line Structure and Dynamics on Surfaces with Contact Angle Hysteresis , 1997 .

[25]  Alberto Rosso,et al.  Universal interface width distributions at the depinning threshold. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[26]  M. Fermigier,et al.  Wetting of heterogeneous surfaces: Influence of defect interactions , 1997 .

[27]  J. R. Rice,et al.  Can crack front waves explain the roughness of cracks , 2002 .

[28]  T. Antal,et al.  Roughness distributions for 1/f alpha signals. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[29]  Plischke,et al.  Width distribution for (2+1)-dimensional growth and deposition processes. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[30]  John R. Rice,et al.  A first-order perturbation analysis of crack trapping by arrays of obstacles , 1989 .

[31]  J.-M. di Meglio Contact Angle Hysteresis and Interacting Surface Defects , 1992 .