Impurity-impurity pair correlation function and paramagnetic-ferromagnetic phase transition in the random Ising model

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dc.creatorIvaneyko, D.
dc.creatorBerche, B.
dc.creatorHolovatch, Yu.
dc.creatorIlnytskyi, Ja.
dc.date2006-11-30
dc.date.accessioned2026-07-07T12:59:40Z
dc.date.available2026-07-07T12:59:40Z
dc.descriptionIn this Monte Carlo study we concentrated on the influence of non-magnetic impurities arranged as the lines with random orientation on paramagnetic-to-ferromagnetic phase transition in the 3D Ising model. Special emphasize is given to the long-distance decay of the impurity-impurity pair correlation function. It is shown that for the lattice sizes considered (L=10-96) and for the two different impurity distributions (purely random and mutually avoiding lines) the function is governed by the power law of 1/r^a with an universal exponent a \simeq 2. This result supports our findings about the numerical values of the critical exponents governing magnetic phase transition in the 3D Ising model with long-range-correlated disorder.
dc.description4 pages, submitted to the proceedings of the 2nd International Conference on Quantum Electrodynamics and Statistical Physics (Kharkiv, Ukraine, 19-23 September, 2006)
dc.identifierhttps://arxiv.org/abs/cond-mat/0611778
dc.identifierhttp://arxiv.org/abs/cond-mat/0611778
dc.identifierProblems in Atomic Science and Technology, Ser. Nuclear Physics, No 3(2) (2007) 372-375
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225645
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleImpurity-impurity pair correlation function and paramagnetic-ferromagnetic phase transition in the random Ising model
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