Vlasov dynamics for fermions on phase space lattice

Within the framework of stochastic one-body approach a simulation procedure to study the Vlasov dynamics for fermi system on phase space lattice is presented. To deal with fermions on lattice, the phase cell occupancy factors are taken to be either 1 or 0 in accordance with the Pauli exclusion principle. This has significant implications. First, the dynamical evolution does not alter initial temperature of the system and secondly, at finite temperature, the proper statistical behaviour related to the fluctuations over the samples is ensured. This method is applied for two distinct cases viz. the monopole vibration of cold dilute nucleus and the evolution of ring shaped matter distribution at finite temperature in the presence of radial flow. In the latter case, fragment multiplicities are found to be depend on the flow velocity. To check the reliability of the present calculations simulations have been performed with different choices of the grid size.