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Electronic properties of disclinated nanostructured cylinders

100%

Pincak R., Smotlacha J., Pudlak M.

Nanoscale Systems: Mathematical Modeling, Theory and Applications

2013

tom 2

81-95

The electronic structure of the nanocylinder is investigated. Two cases of this kind of the nanostructure are explored: the defect-free nanocylinder and the nanocylinder whose geometry is perturbed by 2 heptagonal defects lying on the opposite sides. The characteristic quantity which is of our interest is the local density of states. To calculate it, the continuum gauge field-theory model will be used. In this model, the Dirac-like equation is solved on a curved surface. This procedure was used in the earlier papers which were concerned with the changes of the local density of states near the defects. Here, the local density of states is investigated along the whole structure of the nanocylinder.

On the derivation and mathematical analysis of some quantum–mechanical models accounting for Fokker–Planck type dissipation: Phase space, Schrödinger and hydrodynamic descriptions

77%

López J. L., Montejo–Gámez J.

Nanoscale Systems: Mathematical Modeling, Theory and Applications

2013

tom 2

49-80

This paper is intended to provide the reader with a review of the authors’ latest results dealing with the modeling of quantum dissipation/diffusion effects at the level of Schrödinger systems, in connection with the corresponding phase space and fluid formulations of such kind of phenomena, especially in what concerns the role of the Fokker–Planck mechanism in the description of open quantum systems and the macroscopic dynamics associated with some viscous hydrodynamic models of Euler and Navier–Stokes type.

Ograniczanie wyników

2 Nanoscale Systems: Mathematical Modeling, Theory and Applications

1 López J. L.

1 Montejo–Gámez J.

1 Pincak R.

1 Pudlak M.

1 Smotlacha J.

2 2013

Wyniki wyszukiwania

Electronic properties of disclinated nanostructured cylinders

On the derivation and mathematical analysis of some quantum–mechanical models accounting for Fokker–Planck type dissipation: Phase space, Schrödinger and hydrodynamic descriptions