Abstract
The finite-size scaling prediction about logarithmic corrections in the free energy arising from corners in the geometry of the system is tested on the three-dimensional mean spherical model. The general case of boundary conditions which are periodic ind′ ⩾ 0 dimensions and free or fixed in the remaining 3 −d′ dimensions is considered. Logarithmic and double-logarithmic size corrections stemming from corners, edges, and surfaces are obtained.
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References
V. Privman, ed.,Finite Size Scaling and Numerical Simulation of Statistical Systems (World Scientific, Singapore, 1990).
V. Privman,Phys. Rev. B 38:9261 (1988).
J. L. Cardy and I. Peschel,Nucl. Phys. B 300[FS22]:377 (1988).
V. Privman,Physica A 177:241 (1991).
M. P. Gelfand and M. E. Fisher,Physica A 166:713 (1990).
M. P. Gelfand and M. E. Fisher,Int. J. Thermophys. 9:713 (1988).
B. Duplantier and F. David,J. Stat. Phys. 51:327 (1988).
J. G. Brankov and V. B. Priezzhev,J. Phys. A 25:4297 (1992).
J. G. Brankov and D. M. Danchev,J. Phys. A, submitted.
E. Brezin,J. Phys. (Paris)43:15 (1982).
M. Luck,Phys. Rev. B 31:3069 (1985).
J. Shapiro and J. Rudnick,J. Stat. Phys. 43:51 (1986).
G. S. Joyce, inPhase Transitions and Critical Phenomena, Vol. 2, C. Domb and M. S. Green, eds. (Academic Press, New York, 1972), pp. 375–492.
S. Singh and R. K. Pathria,Phys. Rev. B 31:4483 (1985).
M. N. Barber and M. E. Fisher,Ann. Phys. 77:1 (1973).
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Brankov, J.G., Danchev, D.M. Logarithmic finite-size corrections in the three-dimensional mean spherical model. J Stat Phys 71, 775–798 (1993). https://doi.org/10.1007/BF01058447
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DOI: https://doi.org/10.1007/BF01058447