Pressure and compressibility in a quantum one-component plasma
With the help of scaling methods, a general relation is established between the thermodynamic pressure and the mechanical pressure tensor of an equilibrium one-component plasma in a magnetic field. The mechanical pressure tenser is shown to be anisotropic. A general proof of the compressibility sum rule for a magnetized quantum plasma is presented. Finally, fourth-order wavenumber inequalities for the static charge correlation function are derived.
Equilibrium fluctuation formulae for the quantum one-component plasma in a magnetic field
We derive a complete set of equilibrium fluctuation formulae for the charge density, the current density and the energy density of the quantum one-component plasma in a magnetic field. The derivation is based on the use of imaginary-time-dependent Green functions and their Kubo transforms. It is shown how the fluctuation formulae involving Kubo-transformed quantities can be established directly, even in the absence of a detailed knowledge of the full imaginary-time dependence of the Green functions. The resulting fluctuation formulae for the Kubo transforms are found to have a considerably simpler structure than those for the equal-imaginary-time observables.
Statistical mechanics of dense ionized matter. V. Hydrodynamic limit and transport coefficients of the classical one-component plasma
The static and dynamical correlations of density fluctuations in a classical one-component plasma (OCP) were studied in the framework of thermodynamic fluctuation theory and linearized hydrodynamics. First it is shown that the fluctuations of the local electric field stabilize the OCP against density fluctuations, even when the compressibility becomes negative for GAMMA approximately-greater-than 3, where GAMMA is the usual plasma coupling parameter. Then, following closely the work of Mountain, the dynamical structure factor in the hydrodynamic limit is calculated and the thermal Rayleigh peak is shown to vanish in the long-wavelength limit, in agreement with recent molecular dynamics results. The shear and bulk viscosity coefficients eta and zeta are calculated for large GAMMA in the framework of the ''generalized hydrodynamics'' formalism, using the known short-time expansion of the correlation functions. The coefficient eta is found to exhibit a minimum as a function of GAMMA and zeta is found to be negligible compared to eta in the OCP.