Two-dimensional disordered Ising model within nonextensive statistics

In this work, the two-dimensional disordered Ising model with nonextensive Tsallis statistics has been studied for the first time. The critical temperatures and critical indices have been determined for both disordered and uniform models. A new type of critical behavior has been revealed for the dis...

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Bibliographic Details
Published inPhysics of metals and metallography Vol. 118; no. 6; pp. 524 - 527
Main Author Borodikhin, V. N.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.06.2017
Springer
Springer Nature B.V
Subjects
Chemistry and Materials Science
Ising model
Materials Science
Metallic Materials
Statistics
Theory of Metals
Two dimensional models
two-dimensional disordered Ising model
nonextensive Tsallis statistics
Harris criterion
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Summary:In this work, the two-dimensional disordered Ising model with nonextensive Tsallis statistics has been studied for the first time. The critical temperatures and critical indices have been determined for both disordered and uniform models. A new type of critical behavior has been revealed for the disordered model with nonextensive statistics. It has been shown that, within the nonextensive statistics of the two-dimensional Ising model, the Harris criterion is also valid.
ISSN:0031-918X
1555-6190
DOI:10.1134/S0031918X17060011