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Charge Correlations and Sum Rules in Coulomb Systems I

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Strongly Coupled Plasma Physics

Part of the book series: NATO ASI Series ((ASIB,volume 154))

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Abstract

We discuss Coulomb fluids (systems of-particles interacting through Coulomb’s law, plus perhaps some short-range interaction) in the framework of classical equilibrium statistical mechanics. Coulomb fluids exhibit the fundamental property of screening, Screening means that a charge q introduced into the fluid induces a polarization cloud of charge -q, and therefore the excess charge distribution (defined as the sum of the external charge distribution and the induced one) has zero total charge. More generally, all the electrical moments of the excess charge distribution vanish1,2 provided the charge correlations in the fluid have good decay properties at long distances. We do not attempt here to derive screening from first principles, but we take it for granted.

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References

  1. Ch. Gruber, J.L. Lebowitz, and Ph. A. Martin, Sum rules for in-homogeneous Coulomb systems, J. Chem. Phys. 75 : 944 (1981).

    Article  MathSciNet  ADS  Google Scholar 

  2. L. Blum, C. Gruber, J.L. Lebowitz, and P. Martin, Perfect screening for charged systems, Phys. Rev. Lett. 48 : 1769 (1982),

    Article  MathSciNet  ADS  Google Scholar 

  3. F.H. Stillinger and R. Lovett, General restriction on the distribution of ions in electrolytes, J. Chem. Phys. 49 : 1991 (1968).

    Article  ADS  Google Scholar 

  4. S.L. Carnie and D.Y.C. Chan, The Stillinger-Lovett condition for non-uniform electrolytes, Chem. Phys. Lett. 77 : 437 (1981).

    Article  ADS  Google Scholar 

  5. S.L. Carnie, On sum rules and Stillinger-Lovett conditions for inhomogeneous Coulomb systems, J. Chem. Phys. 78 : 2742 (1983).

    Article  ADS  Google Scholar 

  6. B. Jancovici, Sum rules for inhomogenous Coulomb fluids, and ideal conductor boundary conditions, J. Physique 47 : 389 (1986).

    Article  Google Scholar 

  7. C.W. Outhwaite, Comment on the second moment condition of Stillinger and Lovett, Chem. Phys. Lett. 24 : 73 (1974).

    Article  ADS  Google Scholar 

  8. B. Jancovici, J.L. Lebowitz, and Ph. A. Martin, Time-dependent correlations in an inhomogeneous one-component plasma, J. Stat. Phys. 41 : 941 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  9. B. Jancovici, Classical Coulomb systems near a plane wall. II, J. Stat. Phys. 29 : 263 (1982).

    Article  MathSciNet  ADS  Google Scholar 

  10. L. Blum, D. Henderson, J.L. Lebowitz, Ch. Gruber, and Ph. A. Martin,A sum rule for an inhomogeneous electrolyte, J. Chem. Phys. 75 : 5974 (1981).

    Article  MathSciNet  ADS  Google Scholar 

  11. B. Jancovici and X. Artru, Weakly coupled classical Coulomb systems near a cylindrical wall, Molec. Phys. 49 : 487 (1983).

    Article  ADS  Google Scholar 

  12. Ph. Choquard, B. Piller, and R. Rentsch, On the dielectric susceptibility of classical Coulomb systems, J. Stat. Phys. 43 : 197 (1986), and to be published.

    Article  MathSciNet  ADS  Google Scholar 

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© 1987 Plenum Press, New York

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Jancovici, B. (1987). Charge Correlations and Sum Rules in Coulomb Systems I. In: Rogers, F.J., Dewitt, H.E. (eds) Strongly Coupled Plasma Physics. NATO ASI Series, vol 154. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1891-0_32

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  • DOI: https://doi.org/10.1007/978-1-4613-1891-0_32

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-9053-7

  • Online ISBN: 978-1-4613-1891-0

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