Comparison of the Steady State Operator of Prigogine with the T-Matrix

摘要

Using their general perturbation methods for solving the Liouville equation, the Prigogine group has derived a transport operator, i psi (+io). By means of this operator a generalized transport equation governing the dynamic aspects of transport phenomena may be formed. It is the purpose here to compare the results of this with those obtained by means of a generalized gain-loss equation formed with the T-matrix. The latter is governed by the Lippman-Schwinger equation of scattering theory. This gain-loss equation has been used heuristically in practical calculations of transport coefficients. It is of particular interest to compare the two methods in the lambda 4th order of perturbation theory where Prigogine's irreducibility condition enters seriously for the first time. (Author)