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.

UDC: 539.2

Received: 10.08.2016
Received in revised form: 10.10.2016
Accepted: 14.11.2016

Language: English

DOI: 10.17516/1997-1397-2017-10-1-128-131

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