Discrete sine-Gordon equation on metric graphs: A simple model for Josephson junction networks
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Published:2023-10-16
Issue:11
Volume:98
Page:115238
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ISSN:0031-8949
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Container-title:Physica Scripta
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language:
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Short-container-title:Phys. Scr.
Author:
Akramov M EORCID,
Yusupov J RORCID,
Askerzade I NORCID,
Matrasulov D UORCID
Abstract
Abstract
We consider discrete sine-Gordon equation on branched domains. The latter is modeled in terms of the metric graphs with discrete bonds having the form of the branched 1D chains. Exact analytical solutions of the problem are obtained for special case of the constraints given in terms of a simple sum rule. Numerical solution is obtained when the constraint is not fulfilled. A simple model of a Josephson junction network is proposed using the obtained results.
Funder
Innovative development Agency under the Ministry of higher education, science and innovations of the Republic of Uzbekistan
Ulusal Metroloji Enstitüsü, Türkiye Bilimsel ve Teknolojik Araştirma Kurumu
Subject
Condensed Matter Physics,Mathematical Physics,Atomic and Molecular Physics, and Optics