EFFECT OF THE NEXT-NEAREST NEIGHBOR INTERACTION ON THE ORDER-DISORDER PHASE TRANSITION

In this work, one and two-dimensional lattices are studied theoretically by a statistical mechanical approach. The nearest and next-nearest neighbor interactions are both taken into account, and the approximate thermodynamic properties of the lattices are calculated. The results of our calculations...

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Format: Article
Language:English
Published: University of Tehran 1993-03-01
Series:Journal of Sciences, Islamic Republic of Iran
Online Access:https://jsciences.ut.ac.ir/article_31157_111edbe947bd4393bce714a9f51c69f4.pdf
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collection DOAJ
description In this work, one and two-dimensional lattices are studied theoretically by a statistical mechanical approach. The nearest and next-nearest neighbor interactions are both taken into account, and the approximate thermodynamic properties of the lattices are calculated. The results of our calculations show that: (1) even though the next-nearest neighbor interaction may have an insignificant effect on the entropy of either the almost purely ordered or disordered phase, it does have a significant effect on the entropy of the lattice when the order-disorder transition is taking place. (2) The next-nearest neighbor interaction broadens the range of temperature on which the transition occurs. (3) The transition takes place more slowly with respect to temperature, when the next-nearest neighbor interaction is considered.(4) The average temperature, at which the transition occurs, shifts to a higher one when there is an increase in the next-nearest neighbor interaction
format Article
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institution DOAJ
issn 1016-1104
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language English
publishDate 1993-03-01
publisher University of Tehran
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series Journal of Sciences, Islamic Republic of Iran
spelling doaj-art-43ea6979e2d24694abe48974ad51ce3e2025-08-20T03:13:36ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69141993-03-014131157EFFECT OF THE NEXT-NEAREST NEIGHBOR INTERACTION ON THE ORDER-DISORDER PHASE TRANSITIONIn this work, one and two-dimensional lattices are studied theoretically by a statistical mechanical approach. The nearest and next-nearest neighbor interactions are both taken into account, and the approximate thermodynamic properties of the lattices are calculated. The results of our calculations show that: (1) even though the next-nearest neighbor interaction may have an insignificant effect on the entropy of either the almost purely ordered or disordered phase, it does have a significant effect on the entropy of the lattice when the order-disorder transition is taking place. (2) The next-nearest neighbor interaction broadens the range of temperature on which the transition occurs. (3) The transition takes place more slowly with respect to temperature, when the next-nearest neighbor interaction is considered.(4) The average temperature, at which the transition occurs, shifts to a higher one when there is an increase in the next-nearest neighbor interactionhttps://jsciences.ut.ac.ir/article_31157_111edbe947bd4393bce714a9f51c69f4.pdf
spellingShingle EFFECT OF THE NEXT-NEAREST NEIGHBOR INTERACTION ON THE ORDER-DISORDER PHASE TRANSITION
Journal of Sciences, Islamic Republic of Iran
title EFFECT OF THE NEXT-NEAREST NEIGHBOR INTERACTION ON THE ORDER-DISORDER PHASE TRANSITION
title_full EFFECT OF THE NEXT-NEAREST NEIGHBOR INTERACTION ON THE ORDER-DISORDER PHASE TRANSITION
title_fullStr EFFECT OF THE NEXT-NEAREST NEIGHBOR INTERACTION ON THE ORDER-DISORDER PHASE TRANSITION
title_full_unstemmed EFFECT OF THE NEXT-NEAREST NEIGHBOR INTERACTION ON THE ORDER-DISORDER PHASE TRANSITION
title_short EFFECT OF THE NEXT-NEAREST NEIGHBOR INTERACTION ON THE ORDER-DISORDER PHASE TRANSITION
title_sort effect of the next nearest neighbor interaction on the order disorder phase transition
url https://jsciences.ut.ac.ir/article_31157_111edbe947bd4393bce714a9f51c69f4.pdf