  We investigate the transport properties of open quantum chaotic systems in
the semiclassical limit. We show how the transmission spectrum, the conductance
fluctuations, and their correlations are influenced by the underlying chaotic
classical dynamics, and result from the separation of the quantum phase space
into a stochastic and a deterministic phase. Consequently, sample-to-sample
conductance fluctuations lose their universality, while the persistence of a
finite stochastic phase protects the universality of conductance fluctuations
under variation of a quantum parameter.
