Multisite-occupancy adsorption and surface diffusion of linear adsorbates in low dimensions: Rigurous results for a lattice gas model

Abstract

The rigorous statistical thermodynamics of interacting linear adsorbates (k-mers) on a discrete onedimensional space is presented in the lattice gas approximation. The coverage and temperature dependence of the Helmholtz free energy, chemical potential, entropy, and specific heat are given. The chemical diffusion coefficient of the adlayer is calculated through collective relaxation of density fluctuations. Transport properties are discussed and related to features of the configurational entropy. The correspondence of the present model to adsorption in one-dimensional nanopores is addressed.k-mers) on a discrete onedimensional space is presented in the lattice gas approximation. The coverage and temperature dependence of the Helmholtz free energy, chemical potential, entropy, and specific heat are given. The chemical diffusion coefficient of the adlayer is calculated through collective relaxation of density fluctuations. Transport properties are discussed and related to features of the configurational entropy. The correspondence of the present model to adsorption in one-dimensional nanopores is addressed.