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 |
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| Language: | English |
| Published: |
University of Tehran
1993-03-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Online Access: | https://jsciences.ut.ac.ir/article_31157_111edbe947bd4393bce714a9f51c69f4.pdf |
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| Summary: | 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 |
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| ISSN: | 1016-1104 2345-6914 |