Microscopic Model of Upward Creep of an Ultrathin Wetting Film

Spreading Dynamics of Polydimethylsiloxane Drops: Crossover from Laplace to Van der Waals Spreading

“…[4] and [6], h can be expressed as a function of and R, h 2 = /2R, [20] transforming Eq. [19] into · · ·, leads to a more compact expression,…”

“…In this case, the main geometric variation comes from the radius of curvature and h e / h is of order unity. Equation [19] simply means that droplet spreading is driven by the deviation of the radius of curvature R from the equilibrium surface. Using Eqs.…”

“…A similar expression was obtained by Lopez et al (3) for droplet spreading driven by VW interactions only. A microscopic theory (19) based on the diffusive transport of vacancies from the advancing edge of the film to the drop reservoir has also predicted Eq. [3].…”

Spreading in narrow channels

“…Experimental studies have shown that in some cases such precursor films have molecular thickness [13,14,15,16,17,18,19,20]. The spreading of such monolayers has been studied using a two-dimensional lattice gas Ising model [10,21,22] in which a half-space is occupied by a particle reservoir. Recent KMC simulations and a continuum analysis [23] of that model provided results in good qualitative agreement with available experimental data, and a further extension to the case of chemically patterned substrate has been proposed [24].…”

“…Here we present a lattice model for ultrathin films in which multiple occupancy of a site is allowed (generalizing the single-occupancy model of Refs. [10,21,22]) and in which the substrate-particle attractive interaction is decaying as a power law, whereas the particle-particle interaction is assumed to be hard-core repulsive only. This mimics the case in which the fluid-substrate interaction strongly dominates over the actual attractive long-range part of the fluid-fluid interaction.…”