I want to simulate hysteresis loops using an expression similar to this one of the figure, I can already simulate using coherent rotation of the magnetization, however I have never worked with this type of Hamiltonian model ... can anyone help me write or give a hint how to implement it in Maple, Matlab, or other simulation program.
The reference of the figure: https://doi.org/10.1088/0953-8984/19/23/236225
Thanks a lot.
Oreci.
Hello. The simulation is quite complicated since this is non-equilibrium process. One can use Monte-Carlo method, see, e.g., our paper Article Monte Carlo study of magnetic nanoparticles adsorbed on hall...
Hello A. A. Katanin !
Thanks for the contribution, I'll read the article.
Hi Oreci,
Assuming that the scan rate is small enough to allow the system to equilibrate, you can vary the external magnetic field, minimize your Hamiltonian for a given lattice for a particular value of the magnetic field (using a variety of Monte Carlo methods)and then calculate the corresponding magnetization of the system for this chosen value of external field. I hope this helps.
Hello Adib Samin !
Thanks for the answer. Would you be able to tell me a pre-ready code or a blueprint for how to implement what you have told me to take as a starting point.
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