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.
Quantum-mechanical relation for a magnetized electron gas
Quantum mechanical relation for magnetized electron gas in constant magnetic field and thermal equilibrium
Long-wavelength fluctuation spectra of charged versus neutral one component systems
Microscopic expressions for the long-wavelength excitations of a classical electron gas have been established valid to all orders in the density, charge and plasma expansion parameter. The strengths with which these excitations appear in various space-time autocorrelation functions have also been calculated. Throughout, contact with the corresponding results for neutral particles has been established and their differences discussed. Most notably hereby is the difference between the heat mode of neutral- and charged-particle systems as well as the weak strength with which this mode appears in the correlation functions of the latter systems.