Abstract
When building a transport description for a fermionic system, particular attention should be payed in verifying that the form of the employed nuclear interaction for the mean-field, as well as the correlations introduced in the dynamics, reflect correctly in the amplitude and in the variance of isoscalar and isovector fluctuations in density domains which are comparable in size with the formation of nuclear fragments. These fundamental constraints assure that the transport description is able to correctly relate fragment isoscalar properties to the amplitude of fluctuations in mechanically unstable systems, and the variance of isovector fluctuations to the symmetry energy of the domains where nucleon-nucleon correlations set in. When these requirements are met in a nuclear-matter context, the transport description can be adapted to finite systems and provide quantitative results for dissipative heavy-ion collisions.