Abstract

The richness of the dynamics of the thin film formed between two coalescing Brownian droplets is presented. Simulations based on a previously developed model [Phys. Rev. E 81, 051404 (2010)] which solves two coupled Langevin equations in the lubrication limit were performed. The time evolution of the thickness and radius of the cylindrical film is evaluated for the first time in terms of phase space, entropy of permutation, mean-square displacements, and creeping compliance. This new perspective of analysis reveals the specific and distinctive features of the nanofilm formation and breaking: (1) a well-defined attractor-type phase space which slightly become less disperse as they approach instead of single deterministic trajectories observed in hydrodynamic dominated systems, (2) complexity values larger than the ones expected for Fractional Brownian Motion, (3) a super-diffusive behavior of the film thinning but a sub-diffusive behavior of the film growing, and (4) the effective shear forces in the film that strongly depends on its configuration. Remarkably, the major role of thermal fluctuations in to modulate the strong non linear effects of hydrodynamic interactions, forcing the film to explore configurations well delimited by the potential energy.