On P-Adic lambda-model on the cayley tree II: Phase transitions
In the present paper, we consider the p-adic λ-model on the Cayley tree of order two. It is considered generalized p-adic quasi Gibbs measure depending on a parameter ρ ∈ p, for the λ-model. In the p-adic setting there are several kinds of phase transitions such as storing phase transition, phase tr...
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Elsevier
2015
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| Online Access: | http://irep.iium.edu.my/42131/ http://irep.iium.edu.my/42131/ http://irep.iium.edu.my/42131/1/mfmd-RMP%282015%29.pdf |
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iium-421312016-11-10T02:45:14Z http://irep.iium.edu.my/42131/ On P-Adic lambda-model on the cayley tree II: Phase transitions Mukhamedov, Farrukh Dogan, Mutlay QA Mathematics QC Physics In the present paper, we consider the p-adic λ-model on the Cayley tree of order two. It is considered generalized p-adic quasi Gibbs measure depending on a parameter ρ ∈ p, for the λ-model. In the p-adic setting there are several kinds of phase transitions such as storing phase transition, phase transition in terms of the generalized p-adic quasi Gibbs measures. In the paper, we consider two regimes with respect to the parameter ρ. The existence of generalized p-adic Gibbs measures in both regimes is proved. We prove the existence of the phase transition for the p-adic λ model on the Cayley tree of order two in the first regime. It turns out that in the second regime, we are able to establish the strong phase transition for a class of λ-models on the same tree. To prove the main results, we employ the methods of p-adic analysis, and therefore, our results are not valid in the real setting. Elsevier 2015 Article PeerReviewed application/pdf en http://irep.iium.edu.my/42131/1/mfmd-RMP%282015%29.pdf Mukhamedov, Farrukh and Dogan, Mutlay (2015) On P-Adic lambda-model on the cayley tree II: Phase transitions. Reports on Mathematical Physics, 75 (1). pp. 25-46. ISSN 00344877 http://www.journals.elsevier.com/reports-on-mathematical-physics/ |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| language |
English |
| topic |
QA Mathematics QC Physics |
| spellingShingle |
QA Mathematics QC Physics Mukhamedov, Farrukh Dogan, Mutlay On P-Adic lambda-model on the cayley tree II: Phase transitions |
| description |
In the present paper, we consider the p-adic λ-model on the Cayley tree of order two. It is considered generalized p-adic quasi Gibbs measure depending on a parameter ρ ∈ p, for the λ-model. In the p-adic setting there are several kinds of phase transitions such as storing phase transition, phase transition in terms of the generalized p-adic quasi Gibbs measures. In the paper, we consider two regimes with respect to the parameter ρ. The existence of generalized p-adic Gibbs measures in both regimes is proved. We prove the existence of the phase transition for the p-adic λ model on the Cayley tree of order two in the first regime. It turns out that in the second regime, we are able to establish the strong phase transition for a class of λ-models on the same tree. To prove the main results, we employ the methods of p-adic analysis, and therefore, our results are not valid in the real setting.
|
| format |
Article |
| author |
Mukhamedov, Farrukh Dogan, Mutlay |
| author_facet |
Mukhamedov, Farrukh Dogan, Mutlay |
| author_sort |
Mukhamedov, Farrukh |
| title |
On P-Adic lambda-model on the cayley tree II: Phase transitions |
| title_short |
On P-Adic lambda-model on the cayley tree II: Phase transitions |
| title_full |
On P-Adic lambda-model on the cayley tree II: Phase transitions |
| title_fullStr |
On P-Adic lambda-model on the cayley tree II: Phase transitions |
| title_full_unstemmed |
On P-Adic lambda-model on the cayley tree II: Phase transitions |
| title_sort |
on p-adic lambda-model on the cayley tree ii: phase transitions |
| publisher |
Elsevier |
| publishDate |
2015 |
| url |
http://irep.iium.edu.my/42131/ http://irep.iium.edu.my/42131/ http://irep.iium.edu.my/42131/1/mfmd-RMP%282015%29.pdf |
| first_indexed |
2023-09-18T21:00:07Z |
| last_indexed |
2023-09-18T21:00:07Z |
| _version_ |
1777410567126908928 |