Question about temperature implementation

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sergiom...@gmail.com

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Nov 17, 2021, 6:53:41 AM11/17/21
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Dear all,

I would like to ask about the implementation of temperature in mumax: as far as I know temperature is implemented as a fluctuation effective field term.

Could you tell me if this approximation can account for the temperature dependence of the magnetization? also, can it account for the temperature dependence of the switching magnetic field in a magnetizatio reversal experiment?

Finally: do you know if there is any approximation to solve the Landau-Lifshitz-Bloch equation?

Thank you so much, your answers are really appreciated.

Regards

Joshua Lauzier

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Dec 3, 2021, 5:10:02 PM12/3/21
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Hello,

You can find details about the implementation of temperature at this paper. ' Adaptively time stepping the stochastic Landau-Lifshitz-Gilbert equation at nonzero temperature: Implementation and validation in MuMax3' by Leliaert et al.

Yes, it should give temperature dependence of M, as well as the switching field. However, if you are wishing to simulate e.g. hysteresis curves, note that you need to use the run() command instead of minimize() or relax(). It works, but run is much slower than the energy minimization techniques.

For details, I would refer to the paper linked above. Mumax solves the stochastic LLG equation, rather than LLB. There are some limitations/issues (for example it tends to overestimate Curie temperature), that are covered in the paper.

Best,
Josh L.

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