A Kinetic Model of Adsorption on Crystal Surfaces

Kazuo Aoki (1) , Vincent Giovangigli (2)

1 Department of Mechanical Engineering and Science, Graduate School of Engineering
2 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

A kinetic theory model describing physisorption and chemisorption of gas particles on a crystal surface is introduced. A single kinetic equation is used to model gas and physisorbed particles interacting with a crystal potential and colliding with phonons. The phonons are assumed to be at equilibrium and the physisorbate/gas equation is coupled to similar kinetic equations describing chemisorbed particles and crystal atoms on the surface. A kinetic entropy is introduced for the coupled system and the H theorem is established. Using the Chapman-Enskog method with a fluid scaling, the asymptotic structure of the adsorbate is investigated and fluid boundary conditions are derived from the kinetic model.

Domaines: Physique mathématique [math-ph]

Kazuo Aoki, Vincent Giovangigli. A Kinetic Model of Adsorption on Crystal Surfaces. 2019. ⟨hal-01982841⟩