Charge transport in graphene is crucial for the design of a new generation of nanoscale electron devices. A reasonable model is represented by the semiclassical Boltzmann equations for electrons in the valence and conduction bands. As shown by Romano et al. (J. Comput. Phys., 2015), the discontinuous Galerkin methods are a viable way to tackle the problem of the numerical integration of these equations, even if efficient DSMC with a proper inclusion of the Pauli principle have been also devised. One of the advantages of the solutions obtained with deterministic approach is of course the absence of statistical noise. This fact is crucial for an accurate estimation of the low field mobility as proved by Majorana et al. (J. Math. Industry, 2016) in the case of a unipolar charge transport in a suspended graphene sheet under a constant electric field.
The mobility expressions are essential for the drift-diffusion equations which constitute the most adopted models for charge transport in CAD. Here the analysis by Majorana et al. (J. Math. Industry, 2016) is improved in two ways: by including the charge transport both in the valence and conduction bands; by taking into account the presence of an oxide as substrate for the graphene sheet. New models of mobility are obtained and, in particular, relevant improvements of the low field mobility are achieved.
R. Sampieri-Cabrera, LF Sosa-Romano and V. Inclán-Rubio
The use of collaborative learning in the classroom or on virtual platforms has been demonstrated in the multiple works of educational research, the results are conclusive, the students that deal with the capacity of reasoning, the retention of concepts, communication skills and the organization, among others. In the health sciences, it is essential to work in the team, health services are in collaboration and the formation of multidisciplinary working groups. Doctors, nurses, pharmacists, biochemists, social workers, psychologists, among others, they must develop oral and written communication skills and be able to give medical advice that contributes to the patient's health. In other words, the very nature of medicine emanates from the social sciences and clinics and understands the patient as a subject with multiple needs, which can only be met by a team working with a common goal and collaboration to achieve it. We must teach students of health sciences to work collaboratively, the time to do it is during their school education, in simulated environments, so that, in clinical practice, they can form work teams that contribute to improving the condition of health of its population.That is why, in this work we reflect on the academic needs involved in the application of collaborative learning in undergraduate courses in health sciences.