Skip to main content
Log in

Finite-size effects in surface tension. I. Fluctuating interfaces

  • Articles
  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

We consider a two-dimensional Ising cylinder of circumferenceM and heightN, with a floating interface introduced by the appropriate boundary conditions. An exact analysis of the finite-size effects in surface tension is given and the scaling function for all temperatures is calculated. The results are compared with the Monte Carlo data of Mon and Jasnow.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. E. Fisher,J. Phys. Soc. Japan (Suppl.) 26:87 (1969).

    Google Scholar 

  2. D. B. Abraham,Phys. Rev. B 19:3833 (1979).

    Google Scholar 

  3. K. K. Mon and D. Jasnow,Phys. Rev. A 30:670 (1984);31:4008 (1985).

    Google Scholar 

  4. B. Widom,J. Chem. Phys. 43:3892 (1962).

    Google Scholar 

  5. D. B. Abraham, inPhase Transitions and Critical Phenomena, Vol. 10, C. Domb and J. Lebowitz, eds. (Academic Press, New York, 1986), p. 1.

    Google Scholar 

  6. R. L. Dobrushin,Theor. Prob. Appl. 17:582 (1972).

    Google Scholar 

  7. D. B. Abraham and N. M. Švrakic,Phys. Rev. Lett. 56:1172 (1986).

    Google Scholar 

  8. L. Onsager,Phys. Rev. 65:117 (1944).

    Google Scholar 

  9. M. E. Fisher and D. S. Fisher,Phys. Rev. B 25:3192 (1982).

    Google Scholar 

  10. M. E. Fisher, M. N. Barber, and D. Jasnow,Phys. Rev. A 8:1111 (1973).

    Google Scholar 

  11. V. Privman and M. E. Fisher,J. Stat. Phys. 33:385 (1983); V. Privman and N. M. Švrakić,Phys. Rev. Lett. 62:633 (1989).

    Google Scholar 

  12. E. Brezin and J. Zinn-Justin,Nucl. Phys. B 257[FS14]:867 (1985).

    Google Scholar 

  13. T. T. Wu,Phys. Rev. 149:380 (1952).

    Google Scholar 

  14. E. T. Whittaker and G. N. Watson,A Course in Modern Analysis (Cambridge University Press, Cambridge, 1952).

    Google Scholar 

  15. C. N. Yang,Phys. Rev. 85:808 (1952).

    Google Scholar 

  16. M. Abramowitz and I. Stegun,Handbook of Mathematical Functions (Dover, New York, 1965).

    Google Scholar 

  17. D. B. Abraham and P. Reed,Commun. Math. Phys. 49:35 (1976).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

On leave from: Department of Theoretical Chemistry, Oxford University, Oxford, OX1 3UB, England.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abraham, D.B., Švrakić, N.M. Finite-size effects in surface tension. I. Fluctuating interfaces. J Stat Phys 63, 1077–1096 (1991). https://doi.org/10.1007/BF01030000

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01030000

Key words

Navigation