73 citations · 85 across the 10 of their papers we have counts for
12 papers
Exact and numerical solutions to a Mindlin microcontinuum model
Armando Majorana, Rita Tracinà
In this paper we consider a one-dimensional Mindlin model describing linear elastic behaviour of isotropic materials with micro-structural effects. After introducing the kinetic an…
A BGK model for charge transport in graphene
Armando Majorana
The Boltzmann equation describes the detailed microscopic behaviour of a dilute gas, and represents the basis of the kinetic theory of gases. In order to reduce the difficulties in…
High-field mobility in graphene on substrate with a proper inclusion of the Pauli exclusion principle
Marco Coco, Armando Majorana, Giovanni Nastasi +1
The aim of this work is to simulate the charge transport in a monolayer graphene on different substrates. This requires the inclusion of the scatterings of the charge carriers with…
A semi-discrete Boltzmann equation based on a finite volume scheme
Armando Majorana
In this work we consider the classical non-linear Boltzmann equation, where the unknown is the distribution function , which depends on the time , the vector (th…
Discontinuous Galerkin Deterministic Solvers for a Boltzmann-Poisson Model of Hot Electron Transport by Averaged Empirical Pseudopotential Band Structures
Jose Morales-Escalante, Irene M. Gamba, Yingda Cheng +3
The purpose of this work is to incorporate numerically, in a discontinuous Galerkin (DG) solver of a Boltzmann-Poisson model for hot electron transport, an electronic conduction ba…
A fast approach to Discontinuous Galerkin solvers for Boltzmann-Poisson transport systems for full electronic bands and phonon scattering
Irene M. Gamba, Armando Majorana, Jose A. Morales +1
The present work is motivated by the development of a fast DG based deterministic solver for the extension of the BTE to a system of transport Boltzmann equations for full electron…
Stationary solutions to a Vlasov equation for planetary rings
Armando Majorana
In this paper we consider a Vlasov or collisionless Boltzmann equation describing the dynamics of planetary rings. We propose a simple physical model, where the particles of the ri…
A new macroscopic model derived from the Boltzmann equation and the discontinuous Galerkin method for solving kinetic equations
Armando Majorana
We propose a new macroscopic model derived from the classical nonlinear Boltzmann equation. A set of partial differential equations is obtained easily. The unknowns depend on the t…
A deterministic numerical model for the nonlinear Boltzmann equation
Armando Majorana
We propose a new deterministic numerical scheme, based on the discontinuous Galerkin method, for solving the Boltzamnn equation for rarefied gases. The new scheme guarantees the co…
A discontinuous Galerkin solver for Boltzmann Poisson systems in nano devices
Yingda Cheng, Irene M. Gamba, Armando Majorana +1
In this paper, we present results of a discontinuous Galerkin (DG) scheme applied to deterministic computations of the transients for the Boltzmann-Poisson system describing electr…
High Field Mobility and Diffusivity of Electron Gas in Silicon Devices
S. F. Liotta, A. Majorana
In this paper the Boltzmann equation describing the carrier transport in a semiconductor is considered. A modified Chapman-Enskog method is used, in order to find approximate solut…
A Novel Approach to Spherical Harmonics Expansion for Electron Transport in Semiconductors
S. F. Liotta, A. Majorana
A set of equations is derived from the Boltzmann kinetic equation describing charge transport in semiconductors. The unknowns of these equations depend on the space-time coordinate…