Critical and reentrant phenomena in the Blume–Emery–Griffiths model with attractive biquadratic interaction.
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| Title: | Critical and reentrant phenomena in the Blume–Emery–Griffiths model with attractive biquadratic interaction. |
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| Authors: | Jalal, E. M.1,2 (AUTHOR) elmostafa.jalal@usms.ma, Saadi, H.2 (AUTHOR), Hasnaoui, A.1 (AUTHOR), Lafhal, A.2,3 (AUTHOR), Hachem, N.2 (AUTHOR), El Bouziani, M.2 (AUTHOR) |
| Source: | European Physical Journal B: Condensed Matter. Aug2024, Vol. 97 Issue 8, p1-8. 8p. |
| Abstract: | Using the mean field approximation based on the Bogoliubov inequality for free energy, we investigate the effects of the biquadratic exchange interaction on the critical behavior and phase diagram of the mixed spin (1,2) Blume–Emery–Griffiths model. We first focus on a specific case of the model: when the interaction parameter K = 0 , corresponding to the Blume–Capel model. For the attractive Blume–Emery–Griffiths model, we present the phase diagram in the temperature-crystal field plane. The phase diagram is significantly influenced by the value of the biquadratic exchange interaction K. For small values of K, similar to the Blume–Capel model, the phase diagram exhibits first and second order phase transition lines separating ordered and disordered phases, with a tricritical point marking the boundary between these regions. As K increases, the phase diagram changes significantly, with the appearance of reentrant and double reentrant phenomena. The presence of a biquadratic interaction on mixed spin-1 and spin-2 Blume-Capel model gives rise to some important phenomena; The system present different phase transitions, namely, first- and second-order and reentrant phenomena; The effect of single-ion anisotropy and biquadratic interaction on magnetizations is established; A discussion with other approximation results is carried out. [ABSTRACT FROM AUTHOR] |
| Copyright of European Physical Journal B: Condensed Matter is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 179626431 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Critical and reentrant phenomena in the Blume–Emery–Griffiths model with attractive biquadratic interaction. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Jalal%2C+E%2E+M%2E%22">Jalal, E. M.</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> elmostafa.jalal@usms.ma</i><br /><searchLink fieldCode="AR" term="%22Saadi%2C+H%2E%22">Saadi, H.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Hasnaoui%2C+A%2E%22">Hasnaoui, A.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Lafhal%2C+A%2E%22">Lafhal, A.</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Hachem%2C+N%2E%22">Hachem, N.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22El+Bouziani%2C+M%2E%22">El Bouziani, M.</searchLink><relatesTo>2</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+B%3A+Condensed+Matter%22">European Physical Journal B: Condensed Matter</searchLink>. Aug2024, Vol. 97 Issue 8, p1-8. 8p. – Name: Abstract Label: Abstract Group: Ab Data: Using the mean field approximation based on the Bogoliubov inequality for free energy, we investigate the effects of the biquadratic exchange interaction on the critical behavior and phase diagram of the mixed spin (1,2) Blume–Emery–Griffiths model. We first focus on a specific case of the model: when the interaction parameter K = 0 , corresponding to the Blume–Capel model. For the attractive Blume–Emery–Griffiths model, we present the phase diagram in the temperature-crystal field plane. The phase diagram is significantly influenced by the value of the biquadratic exchange interaction K. For small values of K, similar to the Blume–Capel model, the phase diagram exhibits first and second order phase transition lines separating ordered and disordered phases, with a tricritical point marking the boundary between these regions. As K increases, the phase diagram changes significantly, with the appearance of reentrant and double reentrant phenomena. The presence of a biquadratic interaction on mixed spin-1 and spin-2 Blume-Capel model gives rise to some important phenomena; The system present different phase transitions, namely, first- and second-order and reentrant phenomena; The effect of single-ion anisotropy and biquadratic interaction on magnetizations is established; A discussion with other approximation results is carried out. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of European Physical Journal B: Condensed Matter is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1140/epjb/s10051-024-00767-4 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 8 StartPage: 1 Titles: – TitleFull: Critical and reentrant phenomena in the Blume–Emery–Griffiths model with attractive biquadratic interaction. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Jalal, E. M. – PersonEntity: Name: NameFull: Saadi, H. – PersonEntity: Name: NameFull: Hasnaoui, A. – PersonEntity: Name: NameFull: Lafhal, A. – PersonEntity: Name: NameFull: Hachem, N. – PersonEntity: Name: NameFull: El Bouziani, M. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 08 Text: Aug2024 Type: published Y: 2024 Identifiers: – Type: issn-print Value: 14346028 Numbering: – Type: volume Value: 97 – Type: issue Value: 8 Titles: – TitleFull: European Physical Journal B: Condensed Matter Type: main |
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