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.
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M. E. Fisher,J. Phys. Soc. Japan (Suppl.) 26:87 (1969).
D. B. Abraham,Phys. Rev. B 19:3833 (1979).
K. K. Mon and D. Jasnow,Phys. Rev. A 30:670 (1984);31:4008 (1985).
B. Widom,J. Chem. Phys. 43:3892 (1962).
D. B. Abraham, inPhase Transitions and Critical Phenomena, Vol. 10, C. Domb and J. Lebowitz, eds. (Academic Press, New York, 1986), p. 1.
R. L. Dobrushin,Theor. Prob. Appl. 17:582 (1972).
D. B. Abraham and N. M. Švrakic,Phys. Rev. Lett. 56:1172 (1986).
L. Onsager,Phys. Rev. 65:117 (1944).
M. E. Fisher and D. S. Fisher,Phys. Rev. B 25:3192 (1982).
M. E. Fisher, M. N. Barber, and D. Jasnow,Phys. Rev. A 8:1111 (1973).
V. Privman and M. E. Fisher,J. Stat. Phys. 33:385 (1983); V. Privman and N. M. Švrakić,Phys. Rev. Lett. 62:633 (1989).
E. Brezin and J. Zinn-Justin,Nucl. Phys. B 257[FS14]:867 (1985).
T. T. Wu,Phys. Rev. 149:380 (1952).
E. T. Whittaker and G. N. Watson,A Course in Modern Analysis (Cambridge University Press, Cambridge, 1952).
C. N. Yang,Phys. Rev. 85:808 (1952).
M. Abramowitz and I. Stegun,Handbook of Mathematical Functions (Dover, New York, 1965).
D. B. Abraham and P. Reed,Commun. Math. Phys. 49:35 (1976).
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On leave from: Department of Theoretical Chemistry, Oxford University, Oxford, OX1 3UB, England.
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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
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DOI: https://doi.org/10.1007/BF01030000