Exploitation of the maximum entropy principle in the study of thermal conductivity of silicon, germanium and graphene

G Mascali - Energies, 2022 - mdpi.com
In this paper, we review the application of a recent formula for the lattice thermal conductivity
to silicon and germanium, which are two of the most commonly used materials in electronic …

DSMC method consistent with the Pauli exclusion principle and comparison with deterministic solutions for charge transport in graphene

V Romano, A Majorana, M Coco - Journal of Computational Physics, 2015 - Elsevier
A new algorithm for Monte Carlo simulations of charge transport in semiconductors is
devised in order to properly deal with Pauli's exclusion principle in the degenerate case …

Giant plasmon instability in a dual-grating-gate graphene field-effect transistor

Y Koseki, V Ryzhii, T Otsuji, VV Popov, A Satou - Physical Review B, 2016 - APS
We study the instability of plasmons in a dual-grating-gate graphene field-effect transistor
induced by dc current injection using self-consistent simulations with the Boltzmann …

Charge transport in graphene including thermal effects

G Mascali, V Romano - SIAM Journal on Applied Mathematics, 2017 - SIAM
In this paper we present a hydrodynamical model for the description of the charge transport
in graphene, including heating effects on the crystal lattice, and conversely the influence of …

[PDF][PDF] Simulation of bipolar charge transport in graphene by using a discontinuous Galerkin method

A Majorana, G Nastasi, V Romano - Communications in Computational …, 2019 - iris.unict.it
Charge transport in suspended monolayer graphene is simulated by a numerical
deterministic approach, based on a discontinuous Galerkin (DG) method, for solving the …

A full coupled drift-diffusion-Poisson simulation of a GFET

G Nastasi, V Romano - … in Nonlinear Science and Numerical Simulation, 2020 - Elsevier
A graphene field effect transistor (GFET), where the active area is made of monolayer large-
area graphene, is simulated including a full 2D Poisson equation and a drift-diffusion model …

Hydrodynamical model for charge transport in graphene

VD Camiola, V Romano - Journal of Statistical Physics, 2014 - Springer
A hydrodynamical model for simulating charge transport in graphene is formulated by using
of the maximum entropy principle. Both electrons in the conduction band and holes in the …

[HTML][HTML] Optimal control of a semiclassical Boltzmann equation for charge transport in graphene

G Nastasi, A Borzì, V Romano - Communications in Nonlinear Science and …, 2024 - Elsevier
An ensemble optimal control problem governed by a semiclassical space-homogeneous
Boltzmann equation for charge transport in graphene is formulated and analyzed. The …

Hydrodynamic equations for electrons in graphene obtained from the maximum entropy principle

L Barletti - Journal of Mathematical Physics, 2014 - pubs.aip.org
The maximum entropy principle is applied to the formal derivation of isothermal, Euler-like
equations for semiclassical fermions (electrons and holes) in graphene. After proving …

A hydrodynamic model for silicon semiconductors including crystal heating

G Mascali - European Journal of Applied Mathematics, 2015 - cambridge.org
We present a macroscopic model for describing the electrical and thermal behaviour of
silicon devices. The model makes use of a set of macroscopic state variables for phonons …