Lattice models with interactions on Caylay tree
We consider an Ising competitive model defined over a triangular Husimi tree where loops, responsible for an explicit frustration, are even allowed. We first analyze the phase diagram of the model with fixed couplings in which a “gas of noninteracting dimmers (or spin liquid) — ferro or antiferro...
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| Format: | Proceeding Paper |
| Language: | English |
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2010
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| Online Access: | http://irep.iium.edu.my/15862/ http://irep.iium.edu.my/15862/1/p17.pdf |
| _version_ | 1848777848218714112 |
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| author | Mukhamedov, Farrukh |
| author_facet | Mukhamedov, Farrukh |
| author_sort | Mukhamedov, Farrukh |
| building | IIUM Repository |
| collection | Online Access |
| description | We consider an Ising competitive model defined over a triangular Husimi tree where loops,
responsible for an explicit frustration, are even allowed. We first analyze the phase diagram of the model
with fixed couplings in which a “gas of noninteracting dimmers (or spin liquid) — ferro or
antiferromagnetic ordered state” zero temperature transition is recognized in the frustrated regions. Then
we introduce the disorder for studying the spin glass version of the model: the triangular ±J model. We
find out that, for any finite value of the averaged couplings, the model exhibits always a finite temperature
phase transition even in the frustrated regions, where the transition turns out to be a glassy transition. On
the other hand, In this investigation we studied one-dimensional countable state p-adic Potts model. We
prove the existence of generalized p-adic Gibbs measures for the given model. It is also shown that under
the condition there may occur a phase transition. |
| first_indexed | 2025-11-14T14:52:30Z |
| format | Proceeding Paper |
| id | iium-15862 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T14:52:30Z |
| publishDate | 2010 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-158622012-04-05T06:41:05Z http://irep.iium.edu.my/15862/ Lattice models with interactions on Caylay tree Mukhamedov, Farrukh QA Mathematics We consider an Ising competitive model defined over a triangular Husimi tree where loops, responsible for an explicit frustration, are even allowed. We first analyze the phase diagram of the model with fixed couplings in which a “gas of noninteracting dimmers (or spin liquid) — ferro or antiferromagnetic ordered state” zero temperature transition is recognized in the frustrated regions. Then we introduce the disorder for studying the spin glass version of the model: the triangular ±J model. We find out that, for any finite value of the averaged couplings, the model exhibits always a finite temperature phase transition even in the frustrated regions, where the transition turns out to be a glassy transition. On the other hand, In this investigation we studied one-dimensional countable state p-adic Potts model. We prove the existence of generalized p-adic Gibbs measures for the given model. It is also shown that under the condition there may occur a phase transition. 2010 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/15862/1/p17.pdf Mukhamedov, Farrukh (2010) Lattice models with interactions on Caylay tree. In: IIUM Research, Innovation & Invention Exhibition (IRIIE 2010), 26 - 27 January 2010, Kuala Lumpur. http://www.iium.edu.my/irie/10/sub10/author/list_p.php |
| spellingShingle | QA Mathematics Mukhamedov, Farrukh Lattice models with interactions on Caylay tree |
| title | Lattice models with interactions on Caylay tree |
| title_full | Lattice models with interactions on Caylay tree |
| title_fullStr | Lattice models with interactions on Caylay tree |
| title_full_unstemmed | Lattice models with interactions on Caylay tree |
| title_short | Lattice models with interactions on Caylay tree |
| title_sort | lattice models with interactions on caylay tree |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/15862/ http://irep.iium.edu.my/15862/ http://irep.iium.edu.my/15862/1/p17.pdf |