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/ http://irep.iium.edu.my/15862/ http://irep.iium.edu.my/15862/1/p17.pdf

id	iium-15862
recordtype	eprints
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 Conference or Workshop Item 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
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
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/ http://irep.iium.edu.my/15862/ http://irep.iium.edu.my/15862/1/p17.pdf
first_indexed	2023-09-18T20:24:46Z
last_indexed	2023-09-18T20:24:46Z
_version_	1777408342576070656

Lattice models with interactions on Caylay tree

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