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Physique statistique des fluides coulombiens classiques et quantiques au voisinage d'une paroi

Abstract : We study the equilibrium statistical properties (such as density profiles and correlations) of classical and quantum Coulomb fluids near a wall : the latter is impenetrable, compelling effective interactions, and may have electrostatic properties such as dielectric response (with image charges) and/or influence (with a given potential drop between two conducting plates). For classical systems, statistics is dealt with by Mayer expansions, which are made convergent in the thermodynamic limit thanks to partial resummations introducing the screening effect in a systematic way. Thus we have to handle a Debye-Huckel inhomogeneous equation. In the weak-coupling limit, considering properly the possible short distance divergence of the interaction between a particle and the wall, we exhibit the response of charged systems to an external electrostatic field. The results may explain the effective attraction observed for like-charge particles near a wall. For quantum systems, quantum statistics and dynamics are taken into account in a formalism based on path integral and Mayer expansions. The density profiles and correlations are derived for a weakly-degenerated and weakly-coupled plasma near a wall without electrostatic properties. The quantum properties linked to the vanishing of wave functions on the wall appear to be appreciable far away from the wall, over a few classical screening lengths.
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Contributor : Jean-Noël Aqua <>
Submitted on : Monday, April 10, 2006 - 4:18:49 PM
Last modification on : Thursday, January 23, 2020 - 6:22:06 PM
Long-term archiving on: : Monday, September 17, 2012 - 1:30:14 PM


  • HAL Id : tel-00012105, version 1



Jean-Noël Aqua. Physique statistique des fluides coulombiens classiques et quantiques au voisinage d'une paroi. Physique mathématique [math-ph]. Université Paris Sud - Paris XI, 2000. Français. ⟨tel-00012105⟩



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