Comparing Kinetic and MEP Model of Charge Transport in Graphene. Issue 7 (9th November 2020)

• Record Type: Journal Article
• Authors: Luca, Liliana; Mascali, Giovanni; Nastasi, Giovanni; Romano, Vittorio
• Is Part Of: Journal of computational and theoretical transport. Volume 49:Issue 7(2020)
• Page Start: 368
• Page End: 388
• Publication Date: 2020-11-09
• Subjects: Graphene -- charge transport -- discontinuous Galerkin method -- Maximum Entropy Principle; 82D37 -- 82C70 -- 65M60 -- 82C80; Transport theory -- Periodicals; Statistical physics -- Periodicals; Statistical physics; Transport theory; Periodicals; 530.138
• DOI: 10.1080/23324309.2020.1822870
• Languages: English
• ISSNs: 2332-4309

Abstract

Abstract: Graphene has attracted the attention of several researchers because of its peculiar features. In particular, the study of charge transport in graphene is challenging for future electron devices. Usually, the physical description of electron flow in graphene given by the semiclassical Boltzmann equation is considered to be a good one. However, due to the computational complexity, its use in simulation tools is not practical and, as already done for traditional semiconductors such as Si or GaAs, simpler models are warranted. Here we will assess the validity of a class of hydrodynamical models based on the maximum entropy principle (MEP), by comparing, in the case of suspended monolayer graphene, the direct solution of the semiclassical Boltzmann equation for electrons, obtained by employing a discontinuous Galerkin approach, with the MEP distribution function. A reasonable agreement is observed.