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Journal of Siberian Federal University. Mathematics & Physics, 2018, Volume 11, Issue 5, Pages 622–626
DOI: https://doi.org/10.17516/1997-1397-2018-11-5-622-626
(Mi jsfu707)
 

Studies of non-equilibrium relaxation Heisenberg model with long-range correlations defects

Maria A. Medvedevaab, Pavel V. Prudnikova

a Omsk State University, Mira, 55A, Omsk, 644077, Russia
b Institute of Engineering Physics and Radio Electronics, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
References:
Abstract: Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional Heisenberg model with long-range correlated disorder at criticality, in the case corresponding to linear defects. Former was carried out both from high-temperature and low-temperature initial states. The static and dynamic critical exponents are determined for systems starting from different initial state. The obtained values of the exponents demonstrated a strong influence of long-range correlated quenched defects on the critical behavior of the systems described by the many-component order parameter.
Keywords: Monte Carlo methods, disordered systems, short-time dynamic, Heisenberg model, disorder with long-range correlation.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation MD-6024.2016.2
MD-6868.2018.2
Russian Foundation for Basic Research 16-32-00581_мол_а
17-02-00279_а
18-42-550003
The work was performed within the grants no. MD-6024.2016.2 and MD-6868.2018.2 of Council on grants of the President of the Russian Federation and within the projects of Russian Foundation of Basic Research no. 16-32-00581, 17-02-00279, 18-42-550003.
Received: 05.12.2016
Received in revised form: 14.12.2017
Accepted: 20.06.2018
Bibliographic databases:
Document Type: Article
UDC: 538.9
Language: English
Citation: Maria A. Medvedeva, Pavel V. Prudnikov, “Studies of non-equilibrium relaxation Heisenberg model with long-range correlations defects”, J. Sib. Fed. Univ. Math. Phys., 11:5 (2018), 622–626
Citation in format AMSBIB
\Bibitem{MedPru18}
\by Maria~A.~Medvedeva, Pavel~V.~Prudnikov
\paper Studies of non-equilibrium relaxation Heisenberg model with long-range correlations defects
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2018
\vol 11
\issue 5
\pages 622--626
\mathnet{http://mi.mathnet.ru/jsfu707}
\crossref{https://doi.org/10.17516/1997-1397-2018-11-5-622-626}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000447374900010}
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    Журнал Сибирского федерального университета. Серия "Математика и физика"
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