  This second part of a two-part essay discusses recent developments in the
Brussels-Austin Group after the mid 1980s. The fundamental concerns are the
same as in their similarity transformation approach (see Part I), but the
contemporary approach utilizes rigged Hilbert space (whereas the older approach
used Hilbert space). While the emphasis on nonequilibrium statistical mechanics
remains the same, the use of similarity transformations shifts to the
background. In its place arose an interest in the physical features of large
Poincar\U{e9} systems, nonlinear dynamics and the mathematical tools necessary
to analyze them.
