Different ways of modeling small magnetic particles of yttrium orthoferrite are proposed. Monte Carlo methods are used to study the static critical properties of these models. The conventional formalism of power-law functions is used to calculate the main static critical exponents for the proposed models, and their universality classes are determined. It is shown that models of small magnetic particles of are described mainly by the Ising universality class of critical behavior. The results can explain the contradiction between the experimentally observed and theoretically predicted pictures of critical behavior of small magnetic particles of yttrium orthoferrite.
REFERENCES
1.
A. Z.
Patashinskiĭ
and V. L.
Pokrovskiĭ
, Fluctuation Theory of Phase Transitions, Pergamon Press, Oxford (1979
), Nauka, Moscow (1982
).2.
S.
Ma
, Modern Theory of Critical Phenomena, Benjamin, Reading, Mass. (1976
), Mir, Moscow (1980
).3.
H. E.
Stanley
, Introduction to Phase Transitions and Critical Phenomena (Clarendon Press, Oxford (1971
), Mir, Moscow (1982
).4.
Monte Carlo Methods in Statistical Physics, edited by K. Binder, Springer-Verlag, Berlin (
1979
), Mir, Moscow (1982
).5.
K.
Binder
and D. W.
Heerman
, Monte-Carlo Simulations in Statistical Physics, Vol. 80 of Springer Series in Solid State Sciences, Berlin (1988
) Nauka, Moscow (1995
).6.
P.
Peczak
and D. P.
Landau
, Phys. Rev. B
43
, 1048
(1991
).7.
P.
Peczak
and D. P.
Landau
, Phys. Rev. B
43
, 6087
(1991
).8.
P.
Peczak
and D. P.
Landau
, Phys. Rev. B
47
, 14260
(1993
).9.
Yu. I.
Petrov
, Physics of Small Particles [in Russian], Nauka, Moscow (1982
).10.
S. A.
Nepiĭko
, Physical Properties of Small Metallic Particles [in Russian], Naukova Dumka, Kiev (1985
).11.
K.
Binder
and P. C.
Hohenberg
, Phys. Rev. B
9
, 2194
(1974
).12.
M.
Eibschutz
, S.
Shtrikman
, and D.
Treves
, Phys. Rev.
156
, 562
(1967
).13.
14.
I. K.
Kamilov
and Kh. K.
Aliev
, Statistical Critical Phenomena in Magnetically Ordered Crystals [in Russian], Izd-vo DNTs RAN, Makhachkala (1993
).15.
K. P.
Belov
, A. K.
Zvezdin
, A. M.
Kadomtseva
, and R. Z.
Levitin
, Orientational Transitions in Rare-Earth Magnets [in Russian], Nauka, Moscow (1979
).16.
G.
Bednarz
, D. J.
W. Geldart
, and M. A.
White
, Phys. Rev. B
47
, 14247
(1993
).17.
18.
© 2006 American Institute of Physics.
2006
American Institute of Physics
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