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dc.contributor.authorSingh, Satyviren_US
dc.contributor.authorBattiato, Marcoen_US
dc.identifier.citationSingh, S. & Battiato, M. (2020). Strongly out-of-equilibrium simulations for electron Boltzmann transport equation using modal discontinuous Galerkina approach. International Journal of Applied and Computational Mathematics, 6(5), 133-.
dc.description.abstractIn this study, we present simulations of strongly out-of-equilibrium conditions for the one-dimensional electron Boltzmann transport equation (BTE) in semiconductor devices. An explicit modal discontinuous Galerkin method is employed to solve the electron BTE along with the simplest collisional model–relaxation time approximation. The electron BTE system is discretized in momentum and time, and applied to the description of the dynamics of non-linear electron transport under a strong static electric field. A third-order explicit SSP-RK scheme is adopted for the temporal discretization of the resulting semi-discrete ODE. For the steady-state electron BTE, the analytical solutions are derived at low and high electric fields which are used to validate the numerical approach. The computed solution show a good agreement with derived analytic solution in wide range of tested parameters and regimes. An extensive range of numerical simulations has also been performed to investigate the impact of exploited flow parameters on the electron BTE solutions. Ultimately, these results predict that the modal DG approach is particularly effective in treating the strongly out-of-equilibrium regimes encountered like in ultrafast transport dynamics.en_US
dc.description.sponsorshipNanyang Technological Universityen_US
dc.relationNAP-SUP M408074en_US
dc.relation.ispartofInternational Journal of Applied and Computational Mathematicsen_US
dc.rights© 2020 Springer Nature India Private Limited. All rights reserved.en_US
dc.titleStrongly out-of-equilibrium simulations for electron Boltzmann transport equation using modal discontinuous Galerkina approachen_US
dc.typeJournal Articleen
dc.contributor.schoolSchool of Physical and Mathematical Sciencesen_US
dc.subject.keywordsModal Discontinuous Galerkinen_US
dc.subject.keywordsElectron Boltzmann Transporten_US
dc.description.acknowledgementThe authors would like to acknowledge the financial support of the NAP-SUG Grant program funded by the Nanyang Technological University, Singapore.en_US
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