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20082026
most citedHydrodynamic equations for electrons in graphene obtained from the maximum entropy principle

41 citations · 161 across the 24 of their papers we have counts for

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11 papers · 1 filter

math-ph2026

A mathematical model for the Einstein-Podolsky-Rosen argument

Riccardo Adami, Luigi Barletti, Alessandro Teta

We study a nonrelativistic system made of two quantum particles constrained to move on a line and a spin located at a fixed point of the line. Initially the two particles are in a…

math-ph2020

Quantum drift-diffusion equations for a two-dimensional electron gas with spin-orbit interaction

Luigi Barletti, Philipp Holzinger, Ansgar Jüngel

Quantum drift-diffusion equations are derived for a two-dimensional electron gas with spin-orbit interaction of Rashba type. The (formal) derivation turns out to be a non-standard…

math-ph2020★ 5 cited

Quantum transmission conditions for diffusive transport in graphene with steep potentials

Luigi Barletti, Claudia Negulescu

We present a formal derivation of a drift-diffusion model for stationary electron transport in graphene, in presence of sharp potential profiles, such as barriers and steps. Assumi…

math-ph2019

Quantum electronic trasport in graphene: a kinetic and fluid-dynamic approach

Nicola Zamponi, Luigi Barletti

We derive a fluid-dynamic model for electron transport near a Dirac point in graphene. The derivation is based on the minimum entropy principle, which is exploited in order to clos…

math-ph2015

Hybrid classical-quantum models for charge transport in graphene with sharp potentials

Luigi Barletti, Claudia Negulescu

We give a concise account on the derivation of hybrid quantum-classical models for stationary electron transport in graphene, in presence of sharp potential steps of barriers. A qu…

math-ph2015

Hydrodynamic equations for an electron gas in graphene

Luigi Barletti

In this paper we review, and extend to the non-isothermal case, some results concerning the application of the maximum entropy closure technique to the derivation of hydrodynamic e…