Abstract
The finite-size scaling technique is extended to a microcanonical ensemble. As an application, equilibrium magnetic properties of anL×L square lattice Ising model are computed using the microcanonical ensemble simulation technique of Creutz, and the results are analyzed using the microcanonical ensemble finite-size scaling. The computations were done on the multitransputer system of the Condensed Matter Theory Group at the University of Mainz.
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References
K. Binder, ed.,Applications of the Monte Carlo Method in Statistical Physics, 2nd ed. (Springer, 1987).
M. Creutz,Phys. Rev. Lett. 50:1411 (1983); see also D. Callaway and A. Rahman,Phys. Rev. Lett. 49:613 (1982).
R. Harris,Phys. Lett. 111A:299 (1985).
G. Bhanot, M. Creutz, and H. Neuberger,Nucl. Phys. B 235[FS 11]:417 (1984).
D. W. Heermann,Computer Simulation Methods in Theoretical Physics (Springer, 1986); K. Binder and D. W. Heermann,The Monte Carlo Method in Statistical Physics: An Introduction (Springer, 1988).
H. J. Herrmann,J. Stat. Phys. 45:145 (1986), and references therein.
R. C. Desai and D. Stauffer,J. Phys. A. Math. Gen. 21:Lxxx (1988) and references therein.
M. N. Barber, inPhase Transitions and Critical Phenomena, Vol. 8, C. Domb and J. L. Lebowitz, eds. (Academic Press, New York, 1983), Chapter 2, p. 146.
M. E. Fisher, inCritical Phenomena, M. S. Green, ed. (Academic Press, New York, 1971), p. 1.
K. Binder,Z. Phys. B 43:119 (1981).
K. Binder,Ferroelectrics 73:43 (1987).
A. E. Ferdinand and M. E. Fisher,Phys. Rev. 185:832 (1969).
C. Domb,Adv. Phys. 9:149 (1960).
B. M. McCoy and T. T. Wu,The Two-Dimensional Ising Model (Harvard University Press, 1973).
D. P. Landau,Phys. Rev. B 13:2997 (1976).
H. E. Stanley,Phase Transitions and Critical Phenomena (Oxford, 1971).
F. J. Wegner,Phys. Rev. B 5:4529 (1972); F. J. Wegner and E. K. Riedel,Phys. Rev. B 7:248 (1973).
D. W. Heermann and R. C. Desai,Comput. Phys. Commun. 50:297 (1988).
A. Milchev, D. W. Heermann, and K. Binder,J. Stat. Phys. 44:749 (1986).
D. P. Landau,Phys. Rev. B 13:2996 (1976).
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Desai, R.C., Heermann, D.W. & Binder, K. Finite-size scaling in a microcanonical ensemble. J Stat Phys 53, 795–823 (1988). https://doi.org/10.1007/BF01014226
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DOI: https://doi.org/10.1007/BF01014226