Research Article

Application of Functional Variable Method for Heisenberg Ferromagnetic Spin Chain Equation

Volume: 8 Number: 2 December 31, 2024
Journal of Innovative Science and Engineering Cover
Journal of Innovative Science and Engineering
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Application of Functional Variable Method for Heisenberg Ferromagnetic Spin Chain Equation

Abstract

The Heisenberg spin chain concept is a fundamental and generic model that describes the exotic magnetic behavior of certain materials, such as ferromagnetism, antiferromagnetism, andferrimagnetism 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.

Keywords

References

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Details

Primary Language

English

Subjects

Numerical Solution of Differential and Integral Equations

Journal Section

Research Article

Authors

Early Pub Date

December 16, 2024

Publication Date

December 31, 2024

Submission Date

March 10, 2022

Acceptance Date

December 4, 2024

Published in Issue

Year 2024 Volume: 8 Number: 2

DOI

https://doi.org/10.38088/jise.1085180

IZ

https://izlik.org/JA85LC46RD

Cite

RIS / Bibtex
APA
Tozar, A., Taşbozan, O., & Kurt, A. (2024). Application of Functional Variable Method for Heisenberg Ferromagnetic Spin Chain Equation. Journal of Innovative Science and Engineering, 8(2), 243-250. https://doi.org/10.38088/jise.1085180
AMA
1.Tozar A, Taşbozan O, Kurt A. Application of Functional Variable Method for Heisenberg Ferromagnetic Spin Chain Equation. JISE. 2024;8(2):243-250. doi:10.38088/jise.1085180
Chicago
Tozar, Ali, Orkun Taşbozan, and Ali Kurt. 2024. “Application of Functional Variable Method for Heisenberg Ferromagnetic Spin Chain Equation”. Journal of Innovative Science and Engineering 8 (2): 243-50. https://doi.org/10.38088/jise.1085180.
EndNote
Tozar A, Taşbozan O, Kurt A (December 1, 2024) Application of Functional Variable Method for Heisenberg Ferromagnetic Spin Chain Equation. Journal of Innovative Science and Engineering 8 2 243–250.
IEEE
[1]A. Tozar, O. Taşbozan, and A. Kurt, “Application of Functional Variable Method for Heisenberg Ferromagnetic Spin Chain Equation”, JISE, vol. 8, no. 2, pp. 243–250, Dec. 2024, doi: 10.38088/jise.1085180.
ISNAD
Tozar, Ali - Taşbozan, Orkun - Kurt, Ali. “Application of Functional Variable Method for Heisenberg Ferromagnetic Spin Chain Equation”. Journal of Innovative Science and Engineering 8/2 (December 1, 2024): 243-250. https://doi.org/10.38088/jise.1085180.
JAMA
1.Tozar A, Taşbozan O, Kurt A. Application of Functional Variable Method for Heisenberg Ferromagnetic Spin Chain Equation. JISE. 2024;8:243–250.
MLA
Tozar, Ali, et al. “Application of Functional Variable Method for Heisenberg Ferromagnetic Spin Chain Equation”. Journal of Innovative Science and Engineering, vol. 8, no. 2, Dec. 2024, pp. 243-50, doi:10.38088/jise.1085180.
Vancouver
1.Ali Tozar, Orkun Taşbozan, Ali Kurt. Application of Functional Variable Method for Heisenberg Ferromagnetic Spin Chain Equation. JISE. 2024 Dec. 1;8(2):243-50. doi:10.38088/jise.1085180


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