Monte-Carlo methods are used to study the nonequilibrium crystalline behavior of disordered magnets described by a three-dimensional Heisenberg model with extended structural defects. The critical temperature and critical indices are calculated: z = 3.529(125), ν = 0.821(14), β = 0.777(53), and ω = 0.882(49). It is shown that Heisenberg magnets with strong disorder and long-range defect correlations form a distinct universality class. A high concentration of structural defects with long-range correlation is found to cause significant slowing down of the critical relaxation dynamics. A study is made of the effects of aging on the nonequilibrium behavior of highly disordered magnets.
REFERENCES
1.
X. P.
Qin
, B.
Zheng
, and N. J.
Zhou
, J. Phys. A
45
, 115001
(2012
).2.
A.
Perumal
, V.
Srinivas
, V. V.
Rao
, and R. A.
Dunlap
, Phys. Rev. Lett.
91
, 137202
(2003
).3.
V. V.
Prudnikov
, P. V.
Prudnikov
, A. S.
Krinitsyn
, A. N.
Vakilov
, E. A.
Pospelov
, and M. V.
Rychkov
, Phys. Rev. E
81
, 011130
(2010
).4.
P. V.
Prudnikov
, V. V.
Prudnikov
, V. Yu.
Kolesnikov
, M. A.
Medvedeva
, and P. A.
Zheltyshev
, “Computational physics
,” in Proceedings of the Seminar on Computational Technologies in the Natural Sciences
, edited by R. R.
Nazirov
(Izd-vo KDU
, Moscow
, 2009
), Vol. 1, p. 264
.5.
A. K.
Murtazaev
, Usp. Fiz. Nauk
178
, 1001
(2008
).6.
A. K.
Murtazaev
and M. K.
Ramazanov
, Phys. Rev. B
76
, 174421
(2007
).7.
V.
Blavats'ka
, C.
von Ferber
, and Yu.
Holovatch
, Phys. Rev. E
64
, 041102
(2001
).8.
C.
Vásquez
, R.
Paredes
, A.
Hasmy
, and R.
Jullien
, Phys. Rev. Lett.
90
, 170602
(2003
).9.
K.
Binder
and J. D.
Reger
, Adv. Phys.
41
, 547
(1992
).10.
A. L.
Korzhenevskii
, A. A.
Luzhkov
, and W.
Schirmacher
, Phys. Rev. B
50
, 3661
(1998
).11.
M.
Altarelli
, M. D.
Nunez-Regueiro
, and M.
Papoular
, Phys. Rev. Lett.
74
, 3840
(1995
).12.
K.
Chen
, A. M.
Ferrenberg
, and D. P.
Landau
, Phys. Rev. B
48
, 3249
(1993
).13.
R. J.
Birgeneau
, J.
Skalyo
, Jr., and G.
Shirane
, J. Appl. Phys.
41
, 1303
(1970
).14.
15.
D. G.
Wiesler
and H.
Zabel
, Phys. Rev. B
36
, 7303
(1987
).16.
L. M.
Castro
, J. A.
Plascak
, and A. S. T.
Pires
, J. Magn. Magn. Mater.
248
, 62
(2002
).17.
18.
P.
Calabrese
and A.
Gambassi
, J. Phys. A
38
, R133
(2005
).19.
J. Q.
Yin
, B.
Zheng
, V. V.
Prudnikov
, and S.
Trimper
, Eur. Phys. J. B
49
, 195
(2006
).20.
H. K.
Janssen
, B.
Schaub
, and B.
Schmittmann
, Z. Phys. B
73
, 539
(1989
).21.
A.
Weinrib
and B. I.
Halperin
, Phys. Rev. B
27
, 413
(1983
).22.
K.
Binder
, Monte-Carlo Methods in Statistical Physics
(Mir
, Moscow
, 1981
) [Russian translation].23.
F.
Cooper
, B.
Freedman
, and D.
Preston
, Nucl. Phys. B
210
, 210
(1989
).24.
P. V.
Prudnikov
and M. A.
Medvedeva
, Prog. Theor. Phys.
127
, 369
(2012
).25.
H. G.
Ballesteros
, L. A.
Fernández
, V.
Martín-Mayor
, and A. M.
Sudupe
, Phys. Lett. B
378
, 207
(1996
);H. G.
Ballesteros
, L. A.
Fernández
, V.
Martín-Mayor
, and A. M.
Sudupe
, Phys. Lett. B
387
, 125
(1996
);H. G.
Ballesteros
, L. A.
Fernández
, V.
Martín-Mayor
, and A. M.
Sudupe
, Nucl. Phys. B
483
, 707
(1997
).26.
U.
Wolf
, Phys. Rev. Lett.
62
, 361
(1989
).27.
R. H.
Swendsen
and J. S.
Wang
, Phys. Rev. Lett.
58
, 86
(1987
).28.
J.
Hoshen
and R.
Kopelman
, Phys. Rev. B
14
, 3438
(1976
).29.
P. V.
Prudnikov
, M. A.
Medvedeva
, and P. A.
Zheltyshev
, Certificate 2011614137, Russian Federation, Certificate of state registration of computer program, Declarer and Holder of rights, GOU VPO OmGU im. F. M. Dostoevskogo (RU) No. 2011614137; Published May 26, 2011
, Registry of computer programs.30.
E. V.
Albano
, M. A.
Bab
, G.
Baglietto
, R. A.
Borzi
, T. S.
Grigera
, E. S.
Loscar
, D. E.
Rodriguez
, M. L. R.
Puzzo
, and G. P.
Saracco
, Rep. Prog. Phys.
74
, 026501
(2011
).31.
Y.
Ozeki
and N.
Ito
, J. Phys. A
40
, R149
(2007
).32.
P.
Calabrese
, A.
Gambassi
, and F.
Krzakala
, J. Stat. Mech.
6
, 06016
(2006
).33.
V. V.
Prudnikov
, P. V.
Prudnikov
, B.
Zheng
, S. V.
Dorofeev
, and V. Y.
Kolesnikov
, Prog. Theor. Phys.
117
, 973
(2007
).34.
V. V.
Prudnikov
, P. V.
Prudnikov
, and A. A.
Fedorenko
, Phys. Rev. B
62
, 8777
(2000
).35.
V. V.
Prudnikov
, P. V.
Prudnikov
, I. A.
Kalashnikov
, and S. S.
Tsirkin
, JETP
106
, 1095
(2008
).36.
V. V.
Prudnikov
, P. V.
Prudnikov
, and A. N.
Vakilov
, Theoretical Methods of Describing Nonequilibrium Critical Behavior of Structurally Disordered Systems
(Fizmatlit
, Moscow
, 2013
) [in Russian].37.
A. K.
Murtazaev
, A. B.
Babaev
, and G. Ya.
Aznaurova
, [Low Temp. Phys.
37
, 134
(2011
)].© 2014 AIP Publishing LLC.
2014
AIP Publishing LLC
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