According to the basic idea of relaxation theory in chemical dynamics and the moving character of the sample molecules in a chromatographic column, a new transfer model was established. It was supposed that solute molecules were in equilibrium between the stationary phase and mobile phase, and transferred in the mobile phase by a way of jumping. The generating function was used to investigate the non-continuous dynamic transfer differential equations, and the basic profile of solute's distribution in the column is gained [formula: see text] Based on this equation, the effect of transfer coefficient on the profile had been explained. The results show that relaxation time is an important factor which is related to the capacity factor and diffusion coefficient, and the number of jumping is a similar parameter to the plate number. The digital calculation method was used to study the influence of different physical parameters on the profile. The continuous form of the profile was also compared with the one from other methods.