scholarly journals Quantum energy-transport and drift-diffusion models for electron transport in graphene: an approach by the wigner function

Author(s):  
Vito Dario Camiola ◽  
Giovanni Mascali ◽  
Vittorio Romano
2005 ◽  
Vol 118 (3-4) ◽  
pp. 625-667 ◽  
Author(s):  
Pierre Degond ◽  
Florian M�hats ◽  
Christian Ringhofer

2021 ◽  
Author(s):  
Vito Dario Camiola ◽  
Giovanni Mascali ◽  
Vittorio Romano

Abstract The present work aims at formulating quantum energy-transport and drift- diffusion equations for charge transport in graphene from a quantum hydrodynamic model proposed in [1], obtained from the Wigner-Boltzmann equation via the mo- ment method. In analogy with the semiclassical case, we are confident that the energy- transport and drift-diffusion models have mathematical properties which allow an easier numerical treatment.


2005 ◽  
Vol 204 (2) ◽  
pp. 533-561 ◽  
Author(s):  
Carlo de Falco ◽  
Emilio Gatti ◽  
Andrea L. Lacaita ◽  
Riccardo Sacco

2020 ◽  
Vol 52 (5) ◽  
pp. 1848-1866
Author(s):  
Ronald Hübner ◽  
Thomas Pelzer

Abstract Several drift-diffusion models have been developed to account for the performance in conflict tasks. Although a common characteristic of these models is that the drift rate changes within a trial, their architecture is rather different. Comparative studies usually examine which model fits the data best. However, a good fit does not guarantee good parameter recovery, which is a necessary condition for a valid interpretation of any fit. A recent simulation study revealed that recovery performance varies largely between models and individual parameters. Moreover, recovery was generally not very impressive. Therefore, the aim of the present study was to introduce and test an improved fit procedure. It is based on a grid search for determining the initial parameter values and on a specific criterion for assessing the goodness of fit. Simulations show that not only the fit performance but also parameter recovery improved substantially by applying this procedure, compared to the standard one. The improvement was largest for the most complex model.


2011 ◽  
Vol 03 (10) ◽  
pp. 423-429 ◽  
Author(s):  
Samir Labiod ◽  
Saida Latreche ◽  
Mourad Bella ◽  
Christian Gontrand

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