  We study the dynamics of the chiral phase transition at finite chemical
potential in the Gross-Neveu model in the leading order in large-N
approximation. We consider evolutions starting in local thermal equilibrium in
the massless unbroken phase for conditions pertaining to traversing a first or
second order phase transition. We assume boost invariant kinematics and
determine the evolution of the the order parameter $\sigma$, the energy density
and pressure as well as the effective temperature, chemical potential and
interpolating number densities as a function of $\tau$.
