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Curvature corrections to the capillary wave Hamiltonian

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Zeitschrift für Physik B Condensed Matter

Abstract

The fluctuations of interfaces between fluid phases are governed by an effective nonlocal interface Hamiltonian whose gradient expansion leads to the Helfrich Hamiltonian. Based on density functional theory we discuss the validity of this expansion and study the expansion coefficients multiplying the corresponding curvature terms.

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References

  1. Rowlinson, J.S., Widom, B.: Molecular theory of capillarity. Oxford: Clarendon Press 1982

    Google Scholar 

  2. David, F.: in: Statistical mechanics of membranes and surfaces. Nelson D., Piran T., Weinberg S.: (eds.). Singapore: World Scientific 1989

    Google Scholar 

  3. Helfrich, W.: Naturforsch, Z., Teil C:28, 693 (1973)

    Google Scholar 

  4. Diehl, H.W., Kroll, D.M., Wagner, H.: Z. Phys. B36, 329 (1980)

    Google Scholar 

  5. Liu, S.C., Lowe, M.J.: J. Phys. A16, 347 (1983)

    Google Scholar 

  6. Fisher, M.P.A., Wortis, M.: Phys. Rev. B29, 6252 (1984)

    Google Scholar 

  7. Zia, R.K.R.: Nucl. Phys B251 [FS13], 676 (1985)

    Google Scholar 

  8. Gompper, G., Zschocke, S.: Europhys. Lett.18, 731 (1991); Phys. Rev. A46, 4836 (1992)

    Google Scholar 

  9. Blokhuis, E.M., Bedeaux, D.: J. Chem. Phys.95, 6986 (1991); Physica A184, 42 (1992)

    Google Scholar 

  10. Romero-Rochiń, V., Varea, C., Robledo, A.: Physica A184, 367 (1992)

    Google Scholar 

  11. Romero-Rochiń, V., Varea, C., Robledo, A.: Phys. Rev. A44, 8417 (1991)

    Google Scholar 

  12. Romero-Rochiń, V., Varea, C., Robledo, A.: in: Lectures on thermodynamics and statistical mechanics, 10 de Haro M.L., Varea, C. (eds.). Singapore: World Scientific (1991)

    Google Scholar 

  13. Keller, J.B., Merchant, G.J.: J. Stat. Phys.63, 1039 (1991)

    Google Scholar 

  14. Pérez-López, J.H., Puig, J.E.: Physica A172, 309 (1991)

    Google Scholar 

  15. Robledo, A., Varea, C., Romero-Rochiń, V.: Physica A177, 474 (1991)

    Google Scholar 

  16. Dietrich, S., Napiórkowski, M.: Physica A177, 437 (1991)

    Google Scholar 

  17. Napiórkowski, M., Dietrich, S.: Z. Phys. B89, 263 (1992); Phys. Rev. E47, 1836 (1993)

    Google Scholar 

  18. Blokhuis, E.M., Bedeaux, D.: Mol. Phys.80, 705 (1993)

    Google Scholar 

  19. Blokhuis, E.M., Bedeaux, D.: in: Heterogeneous chemistry reviews, advanced-education review vol. 55, New York: John Wiley & Sons 1994

    Google Scholar 

  20. Napiórkowski, Ber. Bunsenges. Phys. Chem.98, 352 (1994)

    Google Scholar 

  21. Evans, R.: Adv. Phys.28, 143 (1979)

    Google Scholar 

  22. O'Neil, B.: Elementary differential geometry. New York: Academic Press 1966

    Google Scholar 

Download references

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Authors and Affiliations

  1. Instytut Fizyki Teoretycznej, Uniwersytet Warszawski, Hoża 69, PL-00681, Warszawa, Poland

    M. Napiórkowski

  2. Fachbereich Physik, Bergische Universität Wuppertal, D-42097, Wuppertal, Germany

    S. Dietrich

Authors
  1. M. Napiórkowski
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  2. S. Dietrich
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Napiórkowski, M., Dietrich, S. Curvature corrections to the capillary wave Hamiltonian. Z. Physik B - Condensed Matter 97, 511–513 (1995). https://doi.org/10.1007/BF01322432

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  • DOI: https://doi.org/10.1007/BF01322432

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