  A nonequilibrium statistical operator method is developed for ensembles of
particles obeying non-Hamiltonian equations of motion in classical phase space.
The main consequences of non-zero compressibility of phase space are examined
in terms of time-dependent dynamic quantities. The generalized transport
equations involve the phase-space compressibility in a non-trivial way. Our
results are useful in molecular dynamics simulation studies as well as
nonequilibrium or quasiclassical approximations of quantum-classical dynamics.
