I am trying to calculate increase in lattice temperature of a permalloy film after approach of ultrafast laser pulse resulting ultrafast demagnetization and remagnetization. I have the parameters of the laser pulse and basic characteristic parameters for a permalloy film with me. How one can estimate the lattice temperature in local thermal equilibrium from a simple equation without knowing the phonon modes or without involving any coupling constants with rigorous modeling? Is it possible using some form of Debye model?
I think the following book is useful to solve:
https://books.google.com/books?id=J33mCAAAQBAJ&pg=PA203&lpg=PA203&dq=estimate+the+lattice+temperature+in+local+thermal+equilibrium&source=bl&ots=WGYBx-vOQB&sig=tZAakhVRqJRk7j5IBZm36epf7n0&hl=en&sa=X&ved=2ahUKEwj1nYq8t9ndAhUI2qQKHfo5B4IQ6AEwCHoECAEQAQ#v=onepage&q=estimate%20the%20lattice%20temperature%20in%20local%20thermal%20equilibrium&f=false
Some relevant articles are as follows that you can follow.
a) eprints.whiterose.ac.uk/86590/1/paper_39.pdf
b) https://link.aps.org/doi/10.1103/PhysRevB.95.054305
c) cpb.iphy.ac.cn/EN/article/downloadArticleFile.do?attachType=PDF&id=26057
d) pubman.mpdl.mpg.de/pubman/item/escidoc:2262490/.../PhysRevX.6.021003.pdf
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