Zeros in partition function and critical behavior of disordered three dimensional Ising model
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 1, pp. 128-131
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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:
complex temperature, critical exponents, disordered systems,zeroes of the partition function.
Mots-clés : Monte Carlo simulation
Mots-clés : Monte Carlo simulation
@article{JSFU_2017_10_1_a16,
author = {Andrey N. Vakilov},
title = {Zeros in partition function and critical behavior of disordered three dimensional {Ising} model},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {128--131},
publisher = {mathdoc},
volume = {10},
number = {1},
year = {2017},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JSFU_2017_10_1_a16/}
}
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%0 Journal Article %A Andrey N. Vakilov %T Zeros in partition function and critical behavior of disordered three dimensional Ising model %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2017 %P 128-131 %V 10 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/JSFU_2017_10_1_a16/ %G en %F JSFU_2017_10_1_a16
Andrey N. Vakilov. Zeros in partition function and critical behavior of disordered three dimensional Ising model. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 1, pp. 128-131. http://geodesic.mathdoc.fr/item/JSFU_2017_10_1_a16/