On a Schrödinger-Landau-Lifshitz system: Variational structure and numerical methods
Publication
, Journal Article
Chen, J; Liu, JG; Zhou, Z
Published in: Multiscale Modeling and Simulation
January 1, 2016
From a variational perspective, we derive a series of magnetization and quantum spin current systems coupled via an "s-d" potential term, including the Schrödinger-Landau-Lifshitz- Maxwell system, the Pauli-Landau-Lifshitz system, and the Schrödinger-Landau-Lifshitz system with successive simplifications. For the latter two systems, we propose using the time splitting spectral method for the quantum spin current and the Gauss-Seidel projection method for the magnetization. Accuracy of the time splitting spectral method applied to the Pauli equation is analyzed and verified by numerous examples. Moreover, behaviors of the Schrödinger-Landau- Lifshitz system in different "s-d" coupling regimes are explored numerically.
Duke Scholars
Published In
Multiscale Modeling and Simulation
DOI
EISSN
1540-3467
ISSN
1540-3459
Publication Date
January 1, 2016
Volume
14
Issue
4
Start / End Page
1463 / 1487
Related Subject Headings
- Applied Mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Chen, J., Liu, J. G., & Zhou, Z. (2016). On a Schrödinger-Landau-Lifshitz system: Variational structure and numerical methods. Multiscale Modeling and Simulation, 14(4), 1463–1487. https://doi.org/10.1137/16M106947X
Chen, J., J. G. Liu, and Z. Zhou. “On a Schrödinger-Landau-Lifshitz system: Variational structure and numerical methods.” Multiscale Modeling and Simulation 14, no. 4 (January 1, 2016): 1463–87. https://doi.org/10.1137/16M106947X.
Chen J, Liu JG, Zhou Z. On a Schrödinger-Landau-Lifshitz system: Variational structure and numerical methods. Multiscale Modeling and Simulation. 2016 Jan 1;14(4):1463–87.
Chen, J., et al. “On a Schrödinger-Landau-Lifshitz system: Variational structure and numerical methods.” Multiscale Modeling and Simulation, vol. 14, no. 4, Jan. 2016, pp. 1463–87. Scopus, doi:10.1137/16M106947X.
Chen J, Liu JG, Zhou Z. On a Schrödinger-Landau-Lifshitz system: Variational structure and numerical methods. Multiscale Modeling and Simulation. 2016 Jan 1;14(4):1463–1487.
Published In
Multiscale Modeling and Simulation
DOI
EISSN
1540-3467
ISSN
1540-3459
Publication Date
January 1, 2016
Volume
14
Issue
4
Start / End Page
1463 / 1487
Related Subject Headings
- Applied Mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics