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Updated: Aug 22, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Equivalence of the microscopic and macroscopic models of chromatography: stochastic-dispersive versus lumped kinetic
Attila Felinger1, Alberto Cavazzini, Francesco Dondi
1Department of Analytical Chemistry, University of Veszprém, Egyetem utca 10, H-8200 Veszprém, Hungary. felinger@almos.vein.hu
Abstract:
The microscopic model of chromatography is a stochastic model that consists of two fundamental processes: (i) the random migration of the molecules in the mobile phase, and (ii) the random adsorption-desorption of molecules on the stationary phase contained in a chromatographic column. The diffusion and drift of the molecules in the mobile phase is described with a simple one-dimensional random walk. The adsorption-desorption process is modeled by a Poisson process that assumes exponential sojourn times of the molecules in both the mobile and the stationary phases. The microscopic, or molecular model of chromatography studied here turns out to be identical to the macroscopic lumped kinetic model of chromatography, whose solution is well known in chromatography. A complete equivalence of the two models is established via the identical expressions they provide for the band profiles.
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