Application of Functional Variable Method for Heisenberg Ferromagnetic Spin Chain Equation
The Heisenberg spin chain concept is a fundamental and generic model that describes the exotic magnetic behavior of certain materials, such as ferromagnetism, antiferromagnetism, and ferrimagnetism under critical temperatures. The concept of spin chain is based on Coulomb interactions due to Pauli e...
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Bursa Technical University
2024-12-01
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| Series: | Journal of Innovative Science and Engineering |
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| Online Access: | http://jise.btu.edu.tr/en/download/article-file/2299479 |
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| author | ALI TOZAR Orkun Taşbozan ALI KURT |
| author_facet | ALI TOZAR Orkun Taşbozan ALI KURT |
| author_sort | ALI TOZAR |
| collection | DOAJ |
| description | The Heisenberg spin chain concept is a fundamental and generic model that describes the exotic magnetic behavior of certain materials, such as ferromagnetism, antiferromagnetism, and ferrimagnetism under critical temperatures. The concept of spin chain is based on Coulomb interactions due to Pauli exclusion principle rather than dipole-dipole interactions in explaining the high energy observed in the Weiss molecular field. With certain improvements to the Hamiltonian proposed by Heisenberg, the model has became more sophisticated and used successfully in explaining many of the physical phenomena observed experimentally. This model has been extensively studied by physicists since the emergence of quantum physics at the beginning of the 20th century. Due to nonlinear interactions inherent in the model, soliton solutions that can be obtained have attracted the attention of mathematicians, in recent decades. In this study, triangular soliton, bell shaped solitary wave and kink shaped solitary wave solutions were obtained by applying the functional variable method to the nonlinear Heisenberg spin chain equation for a cubic lattice crystal. |
| format | Article |
| id | doaj-art-8ccdb2514980432dba0e41a664ea5b0b |
| institution | Kabale University |
| issn | 2602-4217 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Bursa Technical University |
| record_format | Article |
| series | Journal of Innovative Science and Engineering |
| spelling | doaj-art-8ccdb2514980432dba0e41a664ea5b0b2025-01-24T19:24:13ZengBursa Technical UniversityJournal of Innovative Science and Engineering2602-42172024-12-018224325010.38088/jise.1085180Application of Functional Variable Method for Heisenberg Ferromagnetic Spin Chain EquationALI TOZAR0https://orcid.org/0000-0003-3039-1834Orkun Taşbozan1https://orcid.org/0000-0001-5003-6341ALI KURT2https://orcid.org/0000-0002-0617-6037Hatay Mustafa Kemal UniversityHatay Mustafa Kemal UniversityPAMUKKALE UNIVERSITYThe Heisenberg spin chain concept is a fundamental and generic model that describes the exotic magnetic behavior of certain materials, such as ferromagnetism, antiferromagnetism, and ferrimagnetism under critical temperatures. The concept of spin chain is based on Coulomb interactions due to Pauli exclusion principle rather than dipole-dipole interactions in explaining the high energy observed in the Weiss molecular field. With certain improvements to the Hamiltonian proposed by Heisenberg, the model has became more sophisticated and used successfully in explaining many of the physical phenomena observed experimentally. This model has been extensively studied by physicists since the emergence of quantum physics at the beginning of the 20th century. Due to nonlinear interactions inherent in the model, soliton solutions that can be obtained have attracted the attention of mathematicians, in recent decades. In this study, triangular soliton, bell shaped solitary wave and kink shaped solitary wave solutions were obtained by applying the functional variable method to the nonlinear Heisenberg spin chain equation for a cubic lattice crystal.http://jise.btu.edu.tr/en/download/article-file/2299479heisenberg ferromagnetic spin chain equationanalytical solution.functional variable method |
| spellingShingle | ALI TOZAR Orkun Taşbozan ALI KURT Application of Functional Variable Method for Heisenberg Ferromagnetic Spin Chain Equation Journal of Innovative Science and Engineering heisenberg ferromagnetic spin chain equation analytical solution. functional variable method |
| title | Application of Functional Variable Method for Heisenberg Ferromagnetic Spin Chain Equation |
| title_full | Application of Functional Variable Method for Heisenberg Ferromagnetic Spin Chain Equation |
| title_fullStr | Application of Functional Variable Method for Heisenberg Ferromagnetic Spin Chain Equation |
| title_full_unstemmed | Application of Functional Variable Method for Heisenberg Ferromagnetic Spin Chain Equation |
| title_short | Application of Functional Variable Method for Heisenberg Ferromagnetic Spin Chain Equation |
| title_sort | application of functional variable method for heisenberg ferromagnetic spin chain equation |
| topic | heisenberg ferromagnetic spin chain equation analytical solution. functional variable method |
| url | http://jise.btu.edu.tr/en/download/article-file/2299479 |
| work_keys_str_mv | AT alitozar applicationoffunctionalvariablemethodforheisenbergferromagneticspinchainequation AT orkuntasbozan applicationoffunctionalvariablemethodforheisenbergferromagneticspinchainequation AT alikurt applicationoffunctionalvariablemethodforheisenbergferromagneticspinchainequation |