On the existence of phase transition for the 1D p-Adic countable state potts models

On the existence of phase transition for the 1D p-Adic countable state potts models

In the present paper we establish the existence of a phase transition for one-dimensional the countable state p-adic Potts model. To establish such results, we investigate an infinite dimensional nonlinear p-adic operator associated with the model. It turns out that the finding condition does not...

Full description

Bibliographic Details
Main Author: Mukhamedov, Farrukh
Format: Article
Language:English
English
Published: Pleiades Publishing 2015
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/44199/
http://irep.iium.edu.my/44199/
http://irep.iium.edu.my/44199/
http://irep.iium.edu.my/44199/1/mf-MathNotes-2015.pdf
http://irep.iium.edu.my/44199/4/44199_On%20the%20existence%20of%20phase%20transition%20for%20the%201D%20p-Adic%20countable%20state%20potts%20models_SCOPUS.pdf
id iium-44199
recordtype eprints
spelling iium-441992017-11-15T01:11:43Z http://irep.iium.edu.my/44199/ On the existence of phase transition for the 1D p-Adic countable state potts models Mukhamedov, Farrukh QA Mathematics In the present paper we establish the existence of a phase transition for one-dimensional the countable state p-adic Potts model. To establish such results, we investigate an infinite dimensional nonlinear p-adic operator associated with the model. It turns out that the finding condition does not depend on values of the prime p, and therefore, an analogous fact is not true when the number of spins is finite. Pleiades Publishing 2015 Article PeerReviewed application/pdf en http://irep.iium.edu.my/44199/1/mf-MathNotes-2015.pdf application/pdf en http://irep.iium.edu.my/44199/4/44199_On%20the%20existence%20of%20phase%20transition%20for%20the%201D%20p-Adic%20countable%20state%20potts%20models_SCOPUS.pdf Mukhamedov, Farrukh (2015) On the existence of phase transition for the 1D p-Adic countable state potts models. Mathematical Notes, 98 (2). pp. 283-288. ISSN 0001-4346 http://link.springer.com/journal/11006 10.1134/S0001434615070305
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
On the existence of phase transition for the 1D p-Adic countable state potts models
description In the present paper we establish the existence of a phase transition for one-dimensional the countable state p-adic Potts model. To establish such results, we investigate an infinite dimensional nonlinear p-adic operator associated with the model. It turns out that the finding condition does not depend on values of the prime p, and therefore, an analogous fact is not true when the number of spins is finite.
format Article
author Mukhamedov, Farrukh
author_facet Mukhamedov, Farrukh
author_sort Mukhamedov, Farrukh
title On the existence of phase transition for the 1D p-Adic countable state potts models
title_short On the existence of phase transition for the 1D p-Adic countable state potts models
title_full On the existence of phase transition for the 1D p-Adic countable state potts models
title_fullStr On the existence of phase transition for the 1D p-Adic countable state potts models
title_full_unstemmed On the existence of phase transition for the 1D p-Adic countable state potts models
title_sort on the existence of phase transition for the 1d p-adic countable state potts models
publisher Pleiades Publishing
publishDate 2015
url http://irep.iium.edu.my/44199/
http://irep.iium.edu.my/44199/
http://irep.iium.edu.my/44199/
http://irep.iium.edu.my/44199/1/mf-MathNotes-2015.pdf
http://irep.iium.edu.my/44199/4/44199_On%20the%20existence%20of%20phase%20transition%20for%20the%201D%20p-Adic%20countable%20state%20potts%20models_SCOPUS.pdf
first_indexed 2023-09-18T21:02:52Z
last_indexed 2023-09-18T21:02:52Z
_version_ 1777410739863027712

Similar Items