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2004, Journal of Statistical Physics
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Density profiles in a quantum Coulomb fluid near a hard wall are explored, revealing significant insights into particle interactions and spatial distribution. The study employs sophisticated theoretical frameworks to understand the impact of confinement on the fluid's properties, particularly focusing on correlation effects and phase behaviors. Results show deviations from bulk properties, suggesting that geometrical constraints notably influence the system's thermodynamic behavior.
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We study the Wigner crystal melting in a two dimensional quantum system of particles interacting via the 1/r Coulomb potential. We use quantum Monte Carlo methods to calculate its phase diagram, locate the Wigner crystal region, and analyze its instabilities towards the liquid phase. We discuss the role of quantum effects in the critical behavior of the system, and compare our numerical results with the classical theory of melting, and the microemulsion theory of frustrated Coulomb systems. We find a Pomeranchuk effect much larger then in solid helium. In addition, we find that the exponent for the algebraic decay of the hexatic phase differs significantly from the Kosterilitz-Thouless theory of melting. We search for the existence of mesoscopic phases and find evidence of metastable bubbles but no mesoscopic phase that is stable in equilibrium. 41.75.Lx The Wigner crystal (WC) melting has been a subject of intense study over the years.[1, 2, 3] A better understanding of this process is particularly important in the two dimensional (2D) one component plasma (OCP) with 1/r Coulomb interactions, since it could explain many features in systems such as electrons at interfaces, dusty plasmas, MOSFETs, and charged colloids.
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