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New Theoretical Approach of the Physical Processes in Nanostructures

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Abstract:

A mathematical model of the physical processes in nanostructures, considering that the motion of the micro-particles takes place on continuous but non-differentiable curves, i.e., on fractals, is established. Then, by means of a scale covariance form of the Newton's equation, a Navier-Stokes type equation, a Schrödinger's type equation and its corresponding hydrodynamic model in the topological dimension D = 2, are obtained. Some applications of the model are given: the anomaly of the heat transfer in nanofluids, the expressions of the current density and the quantization of the electrical conductance.

Keywords: FRACTALS; NANO-FLUIDES; NANOSTRUCTURES; TRANSPORT PHENOMENA

Document Type: Research Article

DOI: http://dx.doi.org/10.1166/jctn.2008.006

Publication date: April 1, 2008

More about this publication?
  • Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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