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Journal of Siberian Federal University. Mathematics & Physics, 2017, Volume 10, Issue 1, Pages 128–131
DOI: https://doi.org/10.17516/1997-1397-2017-10-1-128-131
(Mi jsfu532)
 

Zeros in partition function and critical behavior of disordered three dimensional Ising model

Andrey N. Vakilov

Omsk State University, Mira, 55a, Omsk, 644077, Russia
References:
Abstract: We used a Monte Carlo simulation of the structurally disordered three dimensional Ising model. For the systems with spin concentrations $p = 0.95 , 0.8 , 0.6$ and $0.5$ we calculated the correlation-length critical exponent $\nu$ by finite-size scaling. Extrapolations to the thermodynamic limit yield $\nu(0.95) = 0.705(5),\, \nu(0.8) = 0.711(6),\, \nu(0.6) = 0.736(6)$ and $\nu(0.5) = 0.744(6)$. The analysis of the results demonstrates the nonuniversality of the critical behavior in the disordered Ising model.
Keywords: Monte Carlo simulation, complex temperature, critical exponents, disordered systems,zeroes of the partition function.
Funding agency Grant number
Russian Science Foundation 14-12-00562
This work was supported by the Russian Science Foundation, project no. 14-12-00562.
Received: 10.08.2016
Received in revised form: 10.10.2016
Accepted: 14.11.2016
Bibliographic databases:
Document Type: Article
UDC: 539.2
Language: English
Citation: Andrey N. Vakilov, “Zeros in partition function and critical behavior of disordered three dimensional Ising model”, J. Sib. Fed. Univ. Math. Phys., 10:1 (2017), 128–131
Citation in format AMSBIB
\Bibitem{Vak17}
\by Andrey~N.~Vakilov
\paper Zeros in partition function and critical behavior of disordered three dimensional Ising model
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2017
\vol 10
\issue 1
\pages 128--131
\mathnet{http://mi.mathnet.ru/jsfu532}
\crossref{https://doi.org/10.17516/1997-1397-2017-10-1-128-131}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000412012600017}
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    Журнал Сибирского федерального университета. Серия "Математика и физика"
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