Research Projects for High School Students: Difference between revisions
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== Introduction to Landau-Lifshitz-Gilbert equation for magentization dynamics == | == Introduction to Landau-Lifshitz-Gilbert equation for magentization dynamics == | ||
*[[Media: | *[[Media:Introduction_to_LLG_equations.txt|Introduction to LLG equations and the Heun algorithm]] | ||
*[[Media:Llg.zip|One-dimensional LLG code]] | *[[Media:Llg.zip|One-dimensional LLG code]] | ||
*[https://ubermag.github.io/index.html Ubermag] package for operate over existing micromagnetic simulation programs, such as [https://math.nist.gov/oommf/ OOMMF] and [https://mumax.github.io/ mumax3]. | *[https://ubermag.github.io/index.html Ubermag] package for operate over existing micromagnetic simulation programs, such as [https://math.nist.gov/oommf/ OOMMF] and [https://mumax.github.io/ mumax3]. |
Revision as of 09:09, 28 August 2023
Introduction to computational physics
- For an introduction to basic python libraries, review the first three notebooks from PHYS824 (JUPYTER notebooks for hands-on practice: [1] )
- Introduction to differential equations for physicits
- Coupled differential equations: N coupled nonlinear oscillators
References
- N. Giordano and H. Nakanishi: Computational Physics (2nd edition, Prentice Hall, New Jersey, 2005).
- H. Georgi: The physics of waves (Prentice Hall, Englewood Cliffs, 1993) Chapter 3.
Introduction to Landau-Lifshitz-Gilbert equation for magentization dynamics
- Introduction to LLG equations and the Heun algorithm
- One-dimensional LLG code
- Ubermag package for operate over existing micromagnetic simulation programs, such as OOMMF and mumax3.
References
- R. F. L. Evans, W. J. Fan, P. Chureemart, T. A. Ostler, M. O. A. Ellis and R. W. Chantrell, Atomistic spin model simulations of magnetic nanomaterials, J. Phys.: Condens. Matter 26, 103202 (2014). [PDF]
Classical micromagnetics research projects: Annihilation of topological solitons
References
- F. Zheng, N. S. Kiselev, L. Yang, V. M. Kuchkin, F. N. Rybakov, S. Blügel, and R. E. Dunin-Borkowski, Skyrmion–antiskyrmion pair creation and annihilation in a cubic chiral magnet, Nat. Phys. 18, 863 (2022). [PDF]
- A. A. Kovalev and S. Sandhoefner, Skyrmions and antiskyrmions in quasi-two-dimensional magnets, Frontiers in Physics 6, 98 (2018). [PDF]
- M. Á. Halász and R. D. Amado, Skyrmion–anti-skyrmion annihilation with ω mesons, Phys. Rev. D 63, 054020 (2001). [PDF]