Generalization of HGMS theory: The capture of ultra-fine particles

A generalized HGMS theory describing particle capture of ultra-fine particles is formulated and the conditions for the appearance of the dynamic and static buildup are analyzed. A particle size criterion for the generalized and conventional theories to become coincidental is established. Typical examples of capture of paramagnetic, diamagnetic and ferromagnetic particles are used to illustrate the consequences of the new theory.