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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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Main Author: Mukhamedov, Farrukh
Format: Conference or Workshop Item
Language:English
Published: 2010
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/15862/1/p17.pdf
http://irep.iium.edu.my/15862/
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spelling my.iium.irep.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 Conference or Workshop Item REM 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
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Mukhamedov, Farrukh
Lattice models with interactions on Caylay tree
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.
format Conference or Workshop Item
author Mukhamedov, Farrukh
author_facet Mukhamedov, Farrukh
author_sort Mukhamedov, Farrukh
title Lattice models with interactions on Caylay tree
title_short 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_sort lattice models with interactions on caylay tree
publishDate 2010
url http://irep.iium.edu.my/15862/1/p17.pdf
http://irep.iium.edu.my/15862/
http://www.iium.edu.my/irie/10/sub10/author/list_p.php
_version_ 1643607060938489856
score 13.211869

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