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The metallic regime of the hydrogen plasma is studied by ab initio MolecularDynamics simulations, for classical protons and fully degenerate electrons, inthe strong coupling regime of the protons. The breakdown of linear screeningobserved for decreasing density gives rise to a surprisingly richlow-temperature phase diagram, showing in particular a dramatic drop of themelting temperature of the proton crystal. Extensive dynamical simulationsreveal the remarkable persistence of a weakly damped high-frequency ionacoustic mode (plasmon-like), even under conditions of strong electronscreening. This collective mode should disappear in the molecular phase, thusproviding a probe for the metal-insulator transition in a region of parameterswhere experiment is difficult to achieve. Finite-size effects arising in thesimulation of liquid metals are discussed. The status of the dense Hydrogenmatter is extensively reviewed in the introduction.Comment: 14 pages (twocolumn), 18 Postscript figures. To appear in Phys. Rev.

Statistical properties of the dense hydrogen plasma: Anabinitiomolecular dynamics investigation