Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/159453
Title: Numerical scheme for the far-out-of-equilibrium time-dependent Boltzmann collision operator: 1D second-degree momentum discretisation and adaptive time stepping
Authors: Wadgaonkar, I.
Jain, R.
Battiato, Marco
Keywords: Physics - Computational Physics
Issue Date: 2021
Source: Wadgaonkar, I., Jain, R. & Battiato, M. (2021). Numerical scheme for the far-out-of-equilibrium time-dependent Boltzmann collision operator: 1D second-degree momentum discretisation and adaptive time stepping. Computer Physics Communications, 263, 107863-. https://dx.doi.org/10.1016/j.cpc.2021.107863
Project: NAP-SUG
Journal: Computer Physics Communications
Abstract: Study of far-from-equilibrium thermalization dynamics in quantum materials, including the dynamics of different types of quasiparticles, is becoming increasingly crucial. However, the inherent complexity of either the full quantum mechanical treatment or the solution of the scattering integral in the Boltzmann approach, has significantly limited the progress in this domain. In our previous work we had developed a solver to calculate the scattering integral in the Boltzmann equation. The solver is free of any approximation (no linearisation of the scattering operator, no close-to-equilibrium approximation, full non-analytic dispersions, full account of Pauli factors, and no limit to low order scattering) \cite{Michael}. Here we extend it to achieve a higher order momentum space convergence by extending to second degree basis functions.cWe further use an adaptive time stepper, achieving a significant improvement in the numerical performance. Moreover we show adaptive time stepping can prevent intrinsic instabilities in the time propagation of the Boltzmann scattering operator. This work makes the numerical time propagation of the full Boltzmann scattering operator efficient, stable and minimally reliant on human supervision.
URI: https://hdl.handle.net/10356/159453
ISSN: 0010-4655
DOI: 10.1016/j.cpc.2021.107863
Schools: School of Physical and Mathematical Sciences 
Rights: © 2021 Elsevier B.V. All rights reserved.
Fulltext Permission: none
Fulltext Availability: No Fulltext
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