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New Theoretical Approach of the Physical Processes in Nanostructures

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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.


Document Type: Research Article


Publication date: 2008-04-01

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  • 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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