activity
20172026
most citedContinuous-time stochastic processes for the spread of COVID-19 disease simulated via a Monte Carlo approach and comparison with deterministic models

27 citations · 52 across the 9 of their papers we have counts for

collaborators

13 papers

math.NA2026

Second order unfitted ghost-FEM for elliptic interface problems with applications to low-dimensional semiconductor devices

Clarissa Astuto, Giovanni Nastasi

We develop an unfitted ghost finite element method for elliptic interface problems with discontinuous diffusion coefficients and apply it to the electrostatic simulation of low-dim…

math-ph2026

Low-noise Pauli-consistent ensemble Monte Carlo for graphene with electron-electron scattering

Tigran Zalinyan, Giovanni Nastasi

We investigate Pauli-consistent ensemble Monte Carlo simulations of graphene with explicit intraband electron-electron scattering. To reduce the cost of electron-electron proposal-…

math-ph2025

A discontinuous Galerkin approach for simulating graphene-based electron devices via the Boltzmann transport equation

Giovanni Nastasi, Vittorio Romano

Electron devices based on graphene have lately received a considerable interest; in fact, they could represent the ultimate miniaturization, since the active area is only one atom…

math-ph2025★ 1 cited

Ballistic electron transport described by a generalized Schrödinger equation

Giulia Elena Aliffi, Giovanni Nastasi, Vittorio Romano

We propose a Schrödinger equation of arbitrary order for modeling charge transport in semiconductors operating in the ballistic regime. This formulation incorporates non-parabolic…

cond-mat.mes-hall2025

Spatially Mapping Phonon Drag in Ultrascaled 5-nm Silicon Nanowire Field-Effect Transistor Based on a Quantum Hydrodynamic Formalism

Houssem Rezgui, Giovanni Nastasi, Manuel Marcoux +1

The growing demand for better performance and lower thermal energy dissipation in nanoelectronic devices is the major driving force of the semiconductor industry's quest for future…

math-ph2025★ 4 cited

Ballistic electron transport described by a fourth-order Schrödinger equation

Giulia Elena Aliffi, Giovanni Nastasi, Vittorio Romano

A fourth-order Schrödinger equation for the description of charge transport in semiconductors in the ballistic regime is proposed with the inclusion of non-parabolic effects in the…

physics.comp-ph2024

Uncertainty quantification for charge transport in GNRs through particle Galerkin methods for the semiclassical Boltzmann equation

Andrea Medaglia, Giovanni Nastasi, Vittorio Romano +1

In this article, we investigate some issues related to the quantification of uncertainties associated with the electrical properties of graphene nanoribbons. The approach is suited…

q-bio.QM2023

A System of ODEs for Representing Trends of CGM Signals

Giulia Elena Aliffi, Giovanni Nastasi, Vittorio Romano +4

Diabetes Mellitus is a metabolic disorder which may result in severe and potentially fatal complications if not well-treated and monitored. In this study, a quantitative analysis o…

math-ph2022★ 3 cited

Mathematical aspects and simulation of electron-electron scattering in graphene

Giovanni Nastasi, Vittorio Romano

Some properties of the electron-electron collision operator in graphene are analyzed along with the evaluation of collision rate. Monte Carlo simulations complete the study and hig…

q-bio.PE2021★ 27 cited

Continuous-time stochastic processes for the spread of COVID-19 disease simulated via a Monte Carlo approach and comparison with deterministic models

Fabiana Calleri, Giovanni Nastasi, Vittorio Romano

Two stochastic models are proposed to describe the evolution of the COVID-19 pandemic. In the first model the population is partitioned into four compartments: susceptible , inf…

cond-mat.mes-hall2020

Mathematical modelling of charge transport in graphene heterojunctions

Luigi Barletti, Giovanni Nastasi, Claudia Negulescu +1

A typical graphene heterojunction device can be divided into two classical zones, where the transport is basically diffusive, separated by a "quantum active region" (e.g., a locall…

physics.app-ph2020★ 17 cited

An efficient GFET structure

Giovanni Nastasi, Vittorio Romano

A graphene field effect transistor, where the active area is made of monolayer large-area graphene, is simulated including a full 2D Poisson equation and a drift-diffusion model wi…

cond-mat.mes-hall2017

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…