Friction coefficient, mean velocity, and conductivity tensor of large, heavy ions in a gas in any regime in external fields

Kinetic equation and transport properties of large, heavy ions in a gas in any regime in external fields

“…[6] and [7] the proposed formulas match both the results of the Brownian motion theory in the continuum regime and the results of the usual kinetic theory of particles in dilute gases in the molecular regime, and are expected to yield accurate predictions in the transition regime. Moreover, such formulas were obtained in a very simple way by conveniently approximate procedures of kinetic theory.…”

“…As in our previous paper [7], the starting point of our theory is the equation of motion of a l.h. ion (of mass m) in a gas in external fields, i.e.…”

“…For these reasons, for large, heavy (l.h.) particles in gases in any regime, we have proposed, in recent years, a simple theory of the particle mobility [6] and, more in general, of the l.h.-ion conductivity in external electric and magnetic fields [7].…”

“…[6] and [7] only the case of l.h. particles (ions) homogeneously dispersed in the gas is considered.…”

“…As we shall see, the careful consideration of the procedure followed -and of the results obtained -in our previous papers [6,7] offers the way to easily arrive at the desired results.…”