Theoretical foundations of quantum hydrodynamics for plasmas

Beginning from the semiclassical Hamiltonian, the Fermi pressure and Bohm potential for the quantum hydrodynamics application (QHD) at finite temperature are consistently derived in the framework of the local density approximation with the first order density gradient correction. Previously known results are revised and improved with a clear description of the underlying approximations. A fully non-local Bohm potential, which goes beyond of all previous results and is linked to the electron polarization function in the random phase approximation, for the QHD model is presented. The dynamic QHD exchange correlation potential is introduced in the framework of local field corrections, and considered for the case of the relaxation time approximation. Finally, the range of applicability of the QHD is discussed

Dynamical screening of charge potential in classical, quantum and ultrarelativistic plasmas

Dense plasmas have recently gained growing interest due to their relevance for the interior of giant planets as well as for laser interaction with matter and inertial confinement fusion scenarios. Examples of recent experimental studies include the ultrafast thermalization of laser plasmas or free electron laser excited plasmas, inertial confinement fusion experiments at the National Ignition Facility, and magnetized Z-pinch experiments at Sandia. Questions of fundamental theoretical importance are the conductivity and heat conduction, the free energy loss of energetic particles (stopping power) in such a plasma, or the temperature equilibration of the electronic and ionic components..