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: | , , |
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| Format: | Proceeding Paper |
| Language: | English English |
| Published: |
Institute of Physics Publishing
2020
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| Online Access: | http://irep.iium.edu.my/82718/ http://irep.iium.edu.my/82718/1/82718_Potts%20Model%20with%20Competing%20Binary-Ternary-Quaternary%20Interactions%20on%20Cayley%20Tree_ft.pdf http://irep.iium.edu.my/82718/2/82718_Potts%20Model%20with%20Competing%20Binary-Ternary-Quaternary%20Interactions%20on%20Cayley%20Tree_scopus.pdf |
| _version_ | 1848789355830706176 |
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| author | Ganikhodjaev, Nasir Mohd Rodzhan, Mohd Hirzie Omar Baki, Nurul Farahana Ififi |
| author_facet | Ganikhodjaev, Nasir Mohd Rodzhan, Mohd Hirzie Omar Baki, Nurul Farahana Ififi |
| author_sort | Ganikhodjaev, Nasir |
| 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 | 2025-11-14T17:55:25Z |
| format | Proceeding Paper |
| id | iium-82718 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T17:55:25Z |
| publishDate | 2020 |
| publisher | Institute of Physics Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-827182020-09-07T08:29:52Z http://irep.iium.edu.my/82718/ Potts model with competing binary-ternary-quaternary interactions on cayley tree Ganikhodjaev, Nasir Mohd Rodzhan, Mohd Hirzie Omar Baki, Nurul Farahana Ififi Q Science (General) QA75 Electronic computers. Computer science 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. Institute of Physics Publishing 2020-04-07 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/82718/1/82718_Potts%20Model%20with%20Competing%20Binary-Ternary-Quaternary%20Interactions%20on%20Cayley%20Tree_ft.pdf application/pdf en http://irep.iium.edu.my/82718/2/82718_Potts%20Model%20with%20Competing%20Binary-Ternary-Quaternary%20Interactions%20on%20Cayley%20Tree_scopus.pdf Ganikhodjaev, Nasir and Mohd Rodzhan, Mohd Hirzie and Omar Baki, Nurul Farahana Ififi (2020) Potts model with competing binary-ternary-quaternary interactions on cayley tree. In: 5th International Conference on Mathematical Applications in Engineering 2019, 30th - 31st Oct. 2019, Putrajaya International Convention Centre Putrajaya, Malaysia. https://iopscience.iop.org/article/10.1088/1742-6596/1489/1/012023 10.1088/1742-6596/1489/1/012023 |
| spellingShingle | Q Science (General) QA75 Electronic computers. Computer science Ganikhodjaev, Nasir Mohd Rodzhan, Mohd Hirzie Omar Baki, Nurul Farahana Ififi Potts model with competing binary-ternary-quaternary interactions on cayley tree |
| title | Potts model with competing binary-ternary-quaternary interactions on cayley tree |
| title_full | Potts model with competing binary-ternary-quaternary interactions on cayley tree |
| title_fullStr | Potts model with competing binary-ternary-quaternary interactions on cayley tree |
| title_full_unstemmed | Potts model with competing binary-ternary-quaternary interactions on cayley tree |
| title_short | Potts model with competing binary-ternary-quaternary interactions on cayley tree |
| title_sort | potts model with competing binary-ternary-quaternary interactions on cayley tree |
| topic | Q Science (General) QA75 Electronic computers. Computer science |
| url | http://irep.iium.edu.my/82718/ http://irep.iium.edu.my/82718/ http://irep.iium.edu.my/82718/ http://irep.iium.edu.my/82718/1/82718_Potts%20Model%20with%20Competing%20Binary-Ternary-Quaternary%20Interactions%20on%20Cayley%20Tree_ft.pdf http://irep.iium.edu.my/82718/2/82718_Potts%20Model%20with%20Competing%20Binary-Ternary-Quaternary%20Interactions%20on%20Cayley%20Tree_scopus.pdf |