Isospin Dynamics in Heavy Ion Collisions

Some isospin dynamics results in heavy ion collisions from low to relativistic energies obtained through transport approaches, largely inspired by David M.Brink, are reviewed. At very low energies, just above the Coulomb barrier, the stimulating implications of the prompt dipole radiation in dissipative collisions of ions with large isospin asymmetries are discussed. We pass then to the very rich phenomenology of isospin effects on heavy ion reactions at intermediate energies (few AGeV range). We show that it can allow a ``direct'' study of the covariant structure of the isovector interaction in the hadron medium. We work within a relativistic transport frame, beyond a cascade picture, consistently derived from effective Lagrangians, where isospin effects are accounted for in the mean field and collision terms. Rather sensitive observables are proposed from collective flows (``differential'' flows) and from pion/kaon production ($\pi^-/\pi^+$, $K^0/K^+$ yields). For the latter point relevant non-equilibrium effects are stressed. The possibility of the transition to a mixed hadron-quark phase, at high baryon and isospin density, is finally suggested. Some signatures could come from an expected ``neutron trapping'' effect. The importance of {\it violent} collision experiments with radioactive beams, from few AMeV to few AGeV, is stressed