Spreading in narrow channels

Abstract

We study a lattice model for the spreading of fluid films, which are a few molecular layers thick, in narrow channels with inert lateral walls. We focus on systems connected to two particle reservoirs at different chemical potentials, considering an attractive substrate potential at the bottom, confining side walls, and hard-core repulsive fluid-fluid interactions. Using kinetic Monte Carlo simulations we find a diffusive behavior. The corresponding diffusion coefficient depends on the density and is bounded from below by the free one-dimensional diffusion coefficient, valid for an inert bottom wall. These numerical results are rationalized within the corresponding continuum limit.

16 pages, 10 figures

References in corpus (10)

• Macroscopic fluctuation theory for stationary non equilibrium states
• Structure and dynamics of colloidal depletion gels: coincidence of transitions and heterogeneity
• Kinetics and thermodynamics across single-file pores: solute permeability and rectified osmosis
• A microscopic model for thin film spreading
• Pearling instability of nanoscale fluid flow confined to a chemical channel
• Dewetting, partial wetting and spreading of a two-dimensional monolayer on solid surface
• Model for Spreading of Liquid Monolayers
• Hydrodynamic mean field solutions of 1D exclusion processes with spatially varying hopping rates
• Water alignment, dipolar interactions, and multiple proton occupancy during water-wire proton transport
• Diffusive spreading and mixing of fluid monolayers