Two Potts Models on Cayley Tree of Arbitrary Order
On a Cayley tree of arbitrary order k we consider two different Potts models with competing nearest-neighbour interactions J1 and next-nearest-neighbour interactions Jp and Jo, where coupling Jp corresponds to interaction of spins belonging to the same branch of the tree (prolonged) and coupling Jo...
| Main Authors: | , , |
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| Format: | Proceeding Paper |
| Language: | English English |
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Institute of Physics Publishing
2012
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/26805/1/IIUM_iCAST_2012_Abstracts.pdf http://irep.iium.edu.my/26805/4/iCAST2012_Ashraf_Hirzie.pdf |
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| author | Ganikhodjaev, Nasir Nawi, Ashraf Mohamed Rodzhan, Mohd Hirzie |
| author_facet | Ganikhodjaev, Nasir Nawi, Ashraf Mohamed Rodzhan, Mohd Hirzie |
| author_sort | Ganikhodjaev, Nasir |
| collection | IIUM |
| description | On a Cayley tree of arbitrary order k we consider two different Potts models with competing nearest-neighbour interactions J1 and next-nearest-neighbour interactions Jp and Jo, where coupling Jp corresponds to interaction of spins belonging to the same branch of the tree (prolonged) and coupling Jo corresponds to interaction of spins belonging to the same shell of the tree (one-level) and find for each model in addition to the expected paramagnetic, ferromagnetic and antiferromagnetic phases, an intermediate range of coupling values where the local magnetization has chaotic oscillatory glass-like behaviour. We also show that the ranges corresponding two models are different |
| first_indexed | 2024-03-05T23:09:46Z |
| format | Proceeding Paper |
| id | oai:generic.eprints.org:26805 |
| institution | International Islamic University Malaysia |
| language | English English |
| last_indexed | 2024-03-13T19:01:29Z |
| publishDate | 2012 |
| publisher | Institute of Physics Publishing |
| record_format | dspace |
| spelling | oai:generic.eprints.org:268052013-08-14T09:06:41Z http://irep.iium.edu.my/26805/ Two Potts Models on Cayley Tree of Arbitrary Order Ganikhodjaev, Nasir Nawi, Ashraf Mohamed Rodzhan, Mohd Hirzie QA Mathematics On a Cayley tree of arbitrary order k we consider two different Potts models with competing nearest-neighbour interactions J1 and next-nearest-neighbour interactions Jp and Jo, where coupling Jp corresponds to interaction of spins belonging to the same branch of the tree (prolonged) and coupling Jo corresponds to interaction of spins belonging to the same shell of the tree (one-level) and find for each model in addition to the expected paramagnetic, ferromagnetic and antiferromagnetic phases, an intermediate range of coupling values where the local magnetization has chaotic oscillatory glass-like behaviour. We also show that the ranges corresponding two models are different Institute of Physics Publishing 2012-11-07 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/26805/1/IIUM_iCAST_2012_Abstracts.pdf application/pdf en http://irep.iium.edu.my/26805/4/iCAST2012_Ashraf_Hirzie.pdf Ganikhodjaev, Nasir and Nawi, Ashraf Mohamed and Rodzhan, Mohd Hirzie (2012) Two Potts Models on Cayley Tree of Arbitrary Order. In: International Conference of Application Science & Technology (iCAST2012), 7-10 November 2012, Kuantan, Pahang. |
| spellingShingle | QA Mathematics Ganikhodjaev, Nasir Nawi, Ashraf Mohamed Rodzhan, Mohd Hirzie Two Potts Models on Cayley Tree of Arbitrary Order |
| title | Two Potts Models on Cayley Tree of Arbitrary Order |
| title_full | Two Potts Models on Cayley Tree of Arbitrary Order |
| title_fullStr | Two Potts Models on Cayley Tree of Arbitrary Order |
| title_full_unstemmed | Two Potts Models on Cayley Tree of Arbitrary Order |
| title_short | Two Potts Models on Cayley Tree of Arbitrary Order |
| title_sort | two potts models on cayley tree of arbitrary order |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/26805/1/IIUM_iCAST_2012_Abstracts.pdf http://irep.iium.edu.my/26805/4/iCAST2012_Ashraf_Hirzie.pdf |
| work_keys_str_mv | AT ganikhodjaevnasir twopottsmodelsoncayleytreeofarbitraryorder AT nawiashrafmohamed twopottsmodelsoncayleytreeofarbitraryorder AT rodzhanmohdhirzie twopottsmodelsoncayleytreeofarbitraryorder |