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Zeros in partition function and critical behavior of disordered three dimensional Ising model
Andrey N. Vakilov Omsk State University, Mira, 55a, Omsk, 644077, Russia
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.
Received: 10.08.2016 Received in revised form: 10.10.2016 Accepted: 14.11.2016
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
Linking options:
https://www.mathnet.ru/eng/jsfu532 https://www.mathnet.ru/eng/jsfu/v10/i1/p128
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Abstract page: | 151 | Full-text PDF : | 64 | References: | 28 |
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