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On the existence of phase transition for one dimensional P-adic countable state Potts model

In the present paper we shall consider countable state p -adic Potts model on Z . A main aim is to establish the existence of the phase transition for the model. In our study, we essentially use one dimensionality of the model. To establish the phase transition we investigation of an infinite-dimen...

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Main Author: Mukhamedov, Farrukh
Format: Conference or Workshop Item
Language:English
Published: 2011
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/12451/1/isasm2011_1.pdf
http://irep.iium.edu.my/12451/
http://uhsb.uthm.edu.my/isasm2011/ISASM2011%20FULL%20PAPER.pdf
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spelling my.iium.irep.124512015-08-23T13:33:59Z http://irep.iium.edu.my/12451/ On the existence of phase transition for one dimensional P-adic countable state Potts model Mukhamedov, Farrukh QA Mathematics In the present paper we shall consider countable state p -adic Potts model on Z . A main aim is to establish the existence of the phase transition for the model. In our study, we essentially use one dimensionality of the model. To establish the phase transition we investigation of an infinite-dimensional nonlinear equation. We find a condition on weights to show that the derived equation has two solutions, which yields the existence of the phase transition. Note that 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. 2011-11 Conference or Workshop Item REM application/pdf en http://irep.iium.edu.my/12451/1/isasm2011_1.pdf Mukhamedov, Farrukh (2011) On the existence of phase transition for one dimensional P-adic countable state Potts model. In: International Seminar on the Application of Science & Mathematics 2011, 1-3 November 2011, Kuala Lumpur. http://uhsb.uthm.edu.my/isasm2011/ISASM2011%20FULL%20PAPER.pdf
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
On the existence of phase transition for one dimensional P-adic countable state Potts model
description In the present paper we shall consider countable state p -adic Potts model on Z . A main aim is to establish the existence of the phase transition for the model. In our study, we essentially use one dimensionality of the model. To establish the phase transition we investigation of an infinite-dimensional nonlinear equation. We find a condition on weights to show that the derived equation has two solutions, which yields the existence of the phase transition. Note that 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 Conference or Workshop Item
author Mukhamedov, Farrukh
author_facet Mukhamedov, Farrukh
author_sort Mukhamedov, Farrukh
title On the existence of phase transition for one dimensional P-adic countable state Potts model
title_short On the existence of phase transition for one dimensional P-adic countable state Potts model
title_full On the existence of phase transition for one dimensional P-adic countable state Potts model
title_fullStr On the existence of phase transition for one dimensional P-adic countable state Potts model
title_full_unstemmed On the existence of phase transition for one dimensional P-adic countable state Potts model
title_sort on the existence of phase transition for one dimensional p-adic countable state potts model
publishDate 2011
url http://irep.iium.edu.my/12451/1/isasm2011_1.pdf
http://irep.iium.edu.my/12451/
http://uhsb.uthm.edu.my/isasm2011/ISASM2011%20FULL%20PAPER.pdf
_version_ 1643606622635819008
score 13.214268

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