Simulations of Dense Atomic Hydrogen in the Wigner Crystal Phase

Abstract

Path integral Monte Carlo simulations are applied to study dense atomic hydrogen in the regime where the protons form a Wigner crystal. The interaction of the protons with the degenerate electron gas is modeled by Thomas-Fermi screening, which leads to a Yukawa potential for the proton-proton interaction. A numerical technique for the derivation of the corresponding action of the paths is described. For a fixed density of rs=200, the melting is analyzed using the Lindemann ratio, the structure factor and free energy calculations. Anharmonic effects in the crystal vibrations are analyzed.

arXiv commentProceedings article of the Study of Matter at Extreme Conditions (SMEC) conference in Miami, Florida; submitted to Journal of Physics and Chemistry of Solids (2005)

References in corpus (3)

• A quantum fluid of metallic hydrogen suggested by first-principles calculations
• Path Integral Monte Carlo Calculation of the Deuterium Hugoniot
• Coupled Electron Ion Monte Carlo Calculations of Dense Metallic Hydrogen

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