Abstract
The interfacial free energy appropriate to a finite system in the Ising universality class is calculated to one-loop order. Consideration is given to the behavior in both three and four dimensions via an epsilon expansion. The results corresponding to three dimensions are compared with the simulation data of Mon and Jasnow.
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References
M. E. Fisher, inCritical Phenomena, M. S. Green, ed. (Academic, New York, 1971), p. 1.
J. Rudnick, H. Guo, and D. Jasnow,J. Stat. Phys. 41:353 (1985).
E. Brézin and J. Zinn-Justin,Nucl. Phys. B 257[FS14]:867 (1985).
K. K. Mon,Phys. Rev. Lett. 60:2749 (1988).
K. K. Mon and D. Jasnow,J. Stat. Phys. 41:273 (1985).
J. D. van der Waals,Z. Chem. 13:657 (1894).
S. Fisk and B. Widom,J. Chem. Phys. 50:3219 (1969).
J. Rudnick and D. Jasnow,Phys. Rev. B 17:1351 (1978).
T. Ohta and K. Kawasaki,Prog. Theor. Phys. 58:467 (1977).
E. Brézin and S. Feng,Phys. Rev. B 29:472 (1984).
B. B. Pant, Ph.D. Thesis, University of Pittsburgh (1983).
H. Chaar, M. Moldover, and J. Schmidt,J. Chem. Phys. 85(1):418 (1986).
M. R. Moldover,Phys. Rev. A 31:1022 (1985).
H. L. Gielen, O. B. Verbeke, and J. Thoen,J. Chem. Phys. 81:6154 (1984).
A. Aharony and P. C. Hohenberg,Phys. Rev. B 13:3081 (1976).
V. Privman, P. C. Hohenberg, and A. Aharony, inPhase Transitions and Critical Phenomena, Vol. 14, C. Domb and J. L. Lebowitz, eds. (Academic, New York, 1991), p. 1.
G. Münster,Nucl. Phys. B 340:559 (1990).
P. Lai and K. K. Mon,Phys. Rev. B 41:9257 (1990).
V. Privman and M. E. Fisher,Phys. Rev. B 30:322 (1984).
D. Jasnow, inPhase Transitions and Critical Phenomena, Vol. 10, C. Domb and J. L. Lebowitz, eds. (Academic, New York, 1986), p. 270.
D. Jasnow,Rep. Prog. Phys. 47:1059 (1984).
V. Privman,Finite Size Scaling and Numerical Simulation of Statistical Systems (World Scientific, Singapore, 1990).
M. N. Barber, inPhase Transitions and Critical Phenomena, Vol. 8, C. Domb and J. L. Lebowitz, eds. (Academic, New York, 1983), p. 145.
J. L. Cardy, ed.,Finite-size Scaling (North-Holland, Amsterdam, 1988).
J. L. Gervais and B. Sakita,Phys. Rev. D 11:2943 (1975).
J. Rudnick and D. Nelson,Phys. Rev. B 13:2208 (1976).
H. Meyer-Ortmanns and T. Trappenberg,J. Stat. Phys. 58:185 (1990).
M. P. Gelfand and M. E. Fisher,Int. J. Thermophys. 9:713 (1988).
J. J. Morris, Ph.D. Thesis, University of California, Los Angeles, California (1992).
K. K. Mon and D. Jasnow,Phys. Rev. A 31:4008 (1985).
H. B. Tarko and M. E. Fisher,Phys. Rev. B 11:1217 (1975).
G. Münster,Nucl. Phys. B 324:630 (1989).
K. Jansen, I. Montvay, G. Münster, T. Trappenberg, and U. Wolff,Nucl. Phys. B 322:698 (1989).
K. Jansen, J. Jersák, I. Montvay, G. Münster, T. Trappenburg, and U. Wolff,Phys. Lett. B 213:203 (1988).
E. T. Whittaker and G. N. Watson,A Course of Modern Analysis (Cambridge University Press, Cambridge, 1952).
C. Hermite,Oeuvres Mathematiques (Paris, 1905–1917).
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Morris, J.J. Finite-Size scaling of the interfacial tension. J Stat Phys 69, 539–571 (1992). https://doi.org/10.1007/BF01050425
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DOI: https://doi.org/10.1007/BF01050425