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Two-Dimensional Two-Component Plasma with Adsorbing Impurities

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Abstract

We study the behavior of the two-dimensional two-component plasma in the presence of some adsorbing impurities. Using a solvable model, we find analytic expressions for the thermodynamic properties of the plasma such as the n-body densities, the grand potential, and the pressure. We specialize in the case where there are one or two adsorbing point impurities in the plasma, and in the case where there are one or two parallel adsorbing lines. In the former case we study the effective interaction between the impurities, due to the charge redistribution around them. The latter case is a model for electrodes with adsorbing sticky sites on their surface.

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References

  1. Cornu, F., Jancovici, B.: The electrical double layer: A solvable model. J. Chem. Phys. 90, 2444 (1989)

    Article  ADS  Google Scholar 

  2. Šamaj, L., Travěnec, I.: Thermodynamic properties of the two-dimensional two-component plasma. J. Stat. Phys. 101, 713 (2000)

    Article  Google Scholar 

  3. Šamaj, L., Jancovici, B.: Surface tension of a metal-electrolyte boundary: Exactly solvable model. J. Stat. Phys. 103, 717 (2001)

    Article  Google Scholar 

  4. Šamaj, L.: Surface tension of an ideal dielectric-electrolyte boundary: Exactly solvable model. J. Stat. Phys. 103, 737 (2001)

    Article  Google Scholar 

  5. Jancovici, B., Manificat, G.: Classical Coulomb fluids in a confined geometry. J. Stat. Phys. 68, 1089 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  6. Jancovici, B., Téllez, G.: Coulomb systems seen as critical systems: Ideal conductor boundaries. J. Stat. Phys. 82, 609 (1996)

    Article  MATH  Google Scholar 

  7. Téllez, G.: Two-component plasma in a gravitational field. J. Chem. Phys. 106, 8572 (1997)

    Article  ADS  Google Scholar 

  8. Rosinberg, M.L., Lebowitz, J.L., Blum, L.: Solvable model for localized adsorption in a Coulomb system. J. Stat. Phys. 44, 153 (1986)

    Article  MathSciNet  Google Scholar 

  9. Cornu, F.: Two-dimensional models for an electrode with adsorption sites. J. Stat. Phys. 54, 681 (1989)

    Article  MathSciNet  Google Scholar 

  10. Téllez, G., Merchán, L.: Solvable model for electrolytic soap films: The two-dimensional two-component plasma. J. Stat. Phys. 108, 495 (2002)

    Article  MATH  Google Scholar 

  11. Merchán, L., Téllez, G.: Confined Coulomb systems with adsorbing boundaries: The two-dimensional two-component plasma. J. Stat. Phys. 114, 735 (2004)

    Article  MATH  Google Scholar 

  12. Abramowitz, M., Stegun, I.A.: Handbook of Mathematical Functions. National Bureau of Standards (1964)

  13. Ferrero, A.: Analytic solution to the two-component plasma with impurities. Master Thesis, Universidad de los Andes (2006)

  14. Gradshteyn, I.S., Ryzhik, I.M.: Table of Integrals, Series, and Products, 5th edn. Academic Press, San Diego (1994)

    MATH  Google Scholar 

  15. Jancovici, B.: Classical Coulomb systems near a plane wall I. J. Stat. Phys. 28, 43 (1982)

    Article  MathSciNet  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  17. Martin, P.A.: Sum rules in charged fluid. Rev. Mod. Phys. 60, 1075 (1988)

    Article  ADS  Google Scholar 

  18. Téllez, G.: Short-distance expansion of correlation functions for the charge-symmetric two-dimensional two-component plasma: Exact results. J. Stat. Mech. P10001 (2005)

  19. Whittaker, E.T., Watson, G.N.: A course on modern analysis. Cambridge University Press, Cambridge (1927)

    Google Scholar 

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Authors and Affiliations

  1. Departamento de Física, Universidad de los Andes, AA 4976, Bogotá, Colombia

    Alejandro Ferrero & Gabriel Téllez

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  1. Alejandro Ferrero
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  2. Gabriel Téllez
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Correspondence to Gabriel Téllez.

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Ferrero, A., Téllez, G. Two-Dimensional Two-Component Plasma with Adsorbing Impurities. J Stat Phys 129, 759–786 (2007). https://doi.org/10.1007/s10955-007-9401-2

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  • DOI: https://doi.org/10.1007/s10955-007-9401-2

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