Modeling of gas sample behavior in gas chromatography column

TL;DR

This paper derives a novel equilibrium-dispersive model for linear gas chromatography, linking it to the Fokker-Planck equation, and analyzes the sample distribution's behavior along the column.

Contribution

It introduces a new derivation method for the GC model, showing its relation to the Fokker-Planck equation and analyzing sample distribution characteristics.

Findings

The model is a specific case of the Fokker-Planck equation.

The sample distribution is normally distributed with a movable mean.

Standard deviation at the column end is independent of retention factor.

Abstract

The equilibrium-dispersive model of the linear GC (gas chromatography) was derived using both assumptions and the method of its derivation different from the known in literature. It was concluded that this model is a specific case of the Fokker-Planck equation for diffusion with drift. The resolution of this derived equation for assumed initial conditions is the normal distribution with movable mean value. At the end of the GC column the standard deviation of this distribution was investigated as a factor of the sample shape. This standard deviation is independent of the retention factor.