λ-model with competing Potts interactions on Cayley tree of order 2

In this paper, we consider the λ-model on Cayley tree for order two with Potts competing nearest-neighbor and prolonged next-nearest neighbor-interactions. We described the construction of the Gibbs measure for the considered model. We proved the existence of the translation-invariant limiting Gib...

Full description

Bibliographic Details
Main Authors:	Mukhamedov, Farrukh, Pah, Chin Hee, Jamil, Hakim
Format:	Conference or Workshop Item
Language:	English English
Published:	American Institute of Physics Inc. 2018
Subjects:	QA Mathematics
Online Access:	http://irep.iium.edu.my/66694/ http://irep.iium.edu.my/66694/ http://irep.iium.edu.my/66694/ http://irep.iium.edu.my/66694/1/66694_%CE%BB-model%20with%20competing%20Potts.pdf http://irep.iium.edu.my/66694/2/66694_%CE%BB-model%20with%20competing%20Potts_SCOPUS.pdf

id	iium-66694
recordtype	eprints
spelling	iium-666942018-10-17T08:53:12Z http://irep.iium.edu.my/66694/ λ-model with competing Potts interactions on Cayley tree of order 2 Mukhamedov, Farrukh Pah, Chin Hee Jamil, Hakim QA Mathematics In this paper, we consider the λ-model on Cayley tree for order two with Potts competing nearest-neighbor and prolonged next-nearest neighbor-interactions. We described the construction of the Gibbs measure for the considered model. We proved the existence of the translation-invariant limiting Gibbs measures for the model. American Institute of Physics Inc. 2018-09 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/66694/1/66694_%CE%BB-model%20with%20competing%20Potts.pdf application/pdf en http://irep.iium.edu.my/66694/2/66694_%CE%BB-model%20with%20competing%20Potts_SCOPUS.pdf Mukhamedov, Farrukh and Pah, Chin Hee and Jamil, Hakim (2018) λ-model with competing Potts interactions on Cayley tree of order 2. In: International Conference on Mathematics, Engineering and Industrial Applications (ICoMEIA 2018, 24th-26th July 2018, Kuala Lumpur. https://aip.scitation.org/doi/10.1063/1.5054231 10.1063/1.5054231
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	QA Mathematics
spellingShingle	QA Mathematics Mukhamedov, Farrukh Pah, Chin Hee Jamil, Hakim λ-model with competing Potts interactions on Cayley tree of order 2
description	In this paper, we consider the λ-model on Cayley tree for order two with Potts competing nearest-neighbor and prolonged next-nearest neighbor-interactions. We described the construction of the Gibbs measure for the considered model. We proved the existence of the translation-invariant limiting Gibbs measures for the model.
format	Conference or Workshop Item
author	Mukhamedov, Farrukh Pah, Chin Hee Jamil, Hakim
author_facet	Mukhamedov, Farrukh Pah, Chin Hee Jamil, Hakim
author_sort	Mukhamedov, Farrukh
title	λ-model with competing Potts interactions on Cayley tree of order 2
title_short	λ-model with competing Potts interactions on Cayley tree of order 2
title_full	λ-model with competing Potts interactions on Cayley tree of order 2
title_fullStr	λ-model with competing Potts interactions on Cayley tree of order 2
title_full_unstemmed	λ-model with competing Potts interactions on Cayley tree of order 2
title_sort	λ-model with competing potts interactions on cayley tree of order 2
publisher	American Institute of Physics Inc.
publishDate	2018
url	http://irep.iium.edu.my/66694/ http://irep.iium.edu.my/66694/ http://irep.iium.edu.my/66694/ http://irep.iium.edu.my/66694/1/66694_%CE%BB-model%20with%20competing%20Potts.pdf http://irep.iium.edu.my/66694/2/66694_%CE%BB-model%20with%20competing%20Potts_SCOPUS.pdf
first_indexed	2023-09-18T21:34:43Z
last_indexed	2023-09-18T21:34:43Z
_version_	1777412743582711808

λ-model with competing Potts interactions on Cayley tree of order 2

Similar Items