The unscreened Coulomb interaction would yield a conductivity smaller than the minimum value in graphene, over the entire range of gate voltages. In addition, it can also model the minimum conductivity in graphene as a consequence of the carrier density induced by the presence of impurities.
Our model is based on a hydrodynamic description of electron flow in graphene, whereby Coulomb interactions are included through the viscosity of the electron fluid, and is valid in the collision-dominated regime. In this model, the impurities are treated as hard-sphere obstacles submerged on the electronic fluid, based on the fact that some experiments 11 , 15 , 16 suggest that strong short-range neutral scatterers are the main scattering mechanism in graphene.
Although this idea and the one about the long-range Coulomb scatterers are still object of controversy, the fact that the present analytical model can account for the conductivity of graphene suggests that indeed the short-range scattering models might be appropriate for graphene. This work is based on the hydrodynamic description of electrons in graphene proposed in Ref.
Here we have -extended- this approach by adding the electron-impurity interactions through a macroscopic porous media approach. Since this approach rests on basic conservation laws, it is supposedly very robust and independent on the validity of an underlying quantum Boltzmann equation, so long the microscopic interactions justify the build-up of a macroscopic viscosity no superconductivity or other macroscopic quantum effects of that sort.
Thus, our model is able to reproduce experimental results to a satisfactory degree of accuracy. For the set of parameters investigated in the present work, linear Ohm's law appears to apply throughout.
Hydrodynamik | Georg Wolschin | Springer
However, based on Ref. It would be very interesting to verify such possibility by future experiments, as well as the inclusion of the electron-phonon interaction to model both, suspended and supported samples, at higher temperatures. For the simulation, we use the hydrokinetic fluid solver proposed by Mendoza et al. To model the extra carrier density induced by the impurities, as described in Eq.
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Mit Anwendung auf die Dynamische Meteorologie
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Jang, C. Tuning the effective fine structure constant in graphene: Opposing effects of dielectric screening on short- and long-range potential scattering. Ponomarenko, L. Fritz, L. Quantum critical transport in clean graphene. Quantum-critical relativistic magnetotransport in graphene.
Bao, W. Nonlinear dc transport in graphene. Journal of Physics: Condensed Matter 21 , Transition in the equilibrium distribution function of relativistic particles. Oseen, C. Adam, S. A self-consistent theory for graphene transport.
Proceedings of the National Academy of Sciences , — Chen, J. Charged-impurity scattering in graphene. Rumer, R.
Resistance to laminar flow through porous media. Civil Eng. Hydraulic Div. Bear, J. Zhang, Y. Experimental observation of the quantum hall effect and berry's phase in graphene. Nature , — Ando, T. In addition to removing the pavement to a depth of 3mm, it is also preparing five 2mm deep channels — two 20 cm wide and three 25 cm wide — across the deck to consolidate the new concrete to form a stronger bond over the four subsequent concrete pours.
Pours are scheduled to begin in July and expected to be completed in three months. Today we must start to increase them all to 3-lanes. The sustainable way to protect and preserve concrete constructions.pierreducalvet.ca/149630.php
Lehrbuch der Hydrodynamik: Mit 79 Figuren im Text
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