Phase diagrams of Potts model with competing binary-ternary-quaternary interactions on Cayley tree
We study the phase diagrams for the Potts model with competing binary, ternary and quaternary interactions on Cayley tree of order 2. At vanishing temperature T, the phase diagram is fully determined for all values of competing binary, ternary and quaternary interactions. We extend the results (for...
| Main Authors: | , |
|---|---|
| Format: | Proceeding Paper |
| Language: | English English |
| Published: |
IOP Publishing Ltd
2019
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/74655/ http://irep.iium.edu.my/74655/7/74655%20Phase%20Diagrams%20of%20Potts%20Model.pdf http://irep.iium.edu.my/74655/8/74655%20Phase%20Diagrams%20of%20Potts%20Model%20SCOPUS.pdf |
| _version_ | 1848787993064636416 |
|---|---|
| author | Baki, Nurul Farahana Ififi Omar Mohd Rodzhan, Mohd. Hirzie |
| author_facet | Baki, Nurul Farahana Ififi Omar Mohd Rodzhan, Mohd. Hirzie |
| author_sort | Baki, Nurul Farahana Ififi Omar |
| building | IIUM Repository |
| collection | Online Access |
| description | We study the phase diagrams for the Potts model with competing binary, ternary and quaternary interactions on Cayley tree of order 2. At vanishing temperature T, the phase diagram is fully determined for all values of competing binary, ternary and quaternary interactions. We extend the results (for the case Jq = 0) obtained by Ganikhodjaev et. al. [9]. The results show that the appearance of addition phases: antiferromagnetic and Period 6, in the case of nonzero quaternary interactions for several ranges. Then, we investigate the modulated phase, with the phase being indicated by many different types of commensurate and incommensurate phases by plotting the wavevectors versus temperature. Lastly, the Lyapunov exponent is used to verify the stability of the periods. |
| first_indexed | 2025-11-14T17:33:45Z |
| format | Proceeding Paper |
| id | iium-74655 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T17:33:45Z |
| publishDate | 2019 |
| publisher | IOP Publishing Ltd |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-746552020-05-20T07:54:05Z http://irep.iium.edu.my/74655/ Phase diagrams of Potts model with competing binary-ternary-quaternary interactions on Cayley tree Baki, Nurul Farahana Ififi Omar Mohd Rodzhan, Mohd. Hirzie QA Mathematics We study the phase diagrams for the Potts model with competing binary, ternary and quaternary interactions on Cayley tree of order 2. At vanishing temperature T, the phase diagram is fully determined for all values of competing binary, ternary and quaternary interactions. We extend the results (for the case Jq = 0) obtained by Ganikhodjaev et. al. [9]. The results show that the appearance of addition phases: antiferromagnetic and Period 6, in the case of nonzero quaternary interactions for several ranges. Then, we investigate the modulated phase, with the phase being indicated by many different types of commensurate and incommensurate phases by plotting the wavevectors versus temperature. Lastly, the Lyapunov exponent is used to verify the stability of the periods. IOP Publishing Ltd 2019 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/74655/7/74655%20Phase%20Diagrams%20of%20Potts%20Model.pdf application/pdf en http://irep.iium.edu.my/74655/8/74655%20Phase%20Diagrams%20of%20Potts%20Model%20SCOPUS.pdf Baki, Nurul Farahana Ififi Omar and Mohd Rodzhan, Mohd. Hirzie (2019) Phase diagrams of Potts model with competing binary-ternary-quaternary interactions on Cayley tree. In: The 4th Innovation and Analytics Conference & Exhibition (IACE 2019), 25th–28th March 2019, Sintok, Kedah. https://iopscience.iop.org/article/10.1088/1742-6596/1489/1/012023/pdf doi:10.1063/1.5121047 |
| spellingShingle | QA Mathematics Baki, Nurul Farahana Ififi Omar Mohd Rodzhan, Mohd. Hirzie Phase diagrams of Potts model with competing binary-ternary-quaternary interactions on Cayley tree |
| title | Phase diagrams of Potts model with competing binary-ternary-quaternary interactions on Cayley tree |
| title_full | Phase diagrams of Potts model with competing binary-ternary-quaternary interactions on Cayley tree |
| title_fullStr | Phase diagrams of Potts model with competing binary-ternary-quaternary interactions on Cayley tree |
| title_full_unstemmed | Phase diagrams of Potts model with competing binary-ternary-quaternary interactions on Cayley tree |
| title_short | Phase diagrams of Potts model with competing binary-ternary-quaternary interactions on Cayley tree |
| title_sort | phase diagrams of potts model with competing binary-ternary-quaternary interactions on cayley tree |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/74655/ http://irep.iium.edu.my/74655/ http://irep.iium.edu.my/74655/ http://irep.iium.edu.my/74655/7/74655%20Phase%20Diagrams%20of%20Potts%20Model.pdf http://irep.iium.edu.my/74655/8/74655%20Phase%20Diagrams%20of%20Potts%20Model%20SCOPUS.pdf |