Numerical solver for the out-of-equilibrium time dependent Boltzmann collision operator: Application to 2D materials
نویسندگان
چکیده
The Time Dependent Boltzmann equation (TDBE) is a viable option to study strongly out-of-equilibrium thermalization dynamics which are becoming increasingly critical for many novel physical applications like Ultrafast thermalization, Terahertz radiation etc. However its applicability greatly limited by the impractical scaling of solution scattering integral term. In our previous work\cite{Michael} we had proposed numerical solver calculate term in TDBE and then improved on it\cite{1DPaper} include second degree momentum discretisation adaptive time stepping. Our requires no close-to-equilibrium assumptions can work with realistic band structures amplitudes. Moreover, it numerically efficient extremely robust against inherent instabilities. While \cite{1DPaper} showcased application 1D materials, here showcase simple 2D system analyse thermalisations introduced excitations. excitations added at higher energies were found thermalise faster than those relatively lower energies. Also, conclude that thermalisation population equilibrium values not exponential decay but rather non-trivial function time. Nonetheless, fitting double able generate quantitative insights into scales involved thermalisations.
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ژورنال
عنوان ژورنال: Computer Physics Communications
سال: 2022
ISSN: ['1879-2944', '0010-4655']
DOI: https://doi.org/10.1016/j.cpc.2021.108207