Stochastic Models for Chromatography

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Abstract
Column chromatography is treated as a diffusional process, interrupted at random for exponential delay times. General formulas for the elution time and for the longitudinal distributions are obtained and their moments calculated. A general form of the van Deemter equation is found to hold exactly, but the HETP is only asymptotically equal to the rate of increase of the longitudinal variance with respect to the mean. Under certain conditions the HETP also measures the displacement of the longitudinal mean from a point at the moment when the concentration at the point reaches its mean value. The times spent in the mobile and stationary phase are shown to be not independent, and their correlation coefficient is calculated.