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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

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5 papers · 1 filter

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…

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…

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…