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New Model for Heat Transfer in Nanostructures

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A new model on the heat transfer processes in nanostructures considering that heat flow paths take place on fractal curves is established. In the dissipative approximation of this process, for Peano type heat flow paths and synchronous movements at differentiable and non-differentiable scales, the heat transfer mechanism is of diffusive type. In the dispersive approximation of the same process, both at differentiable and non-differentiable scales, the thermal transfer mechanism is given through the cnoidal oscillation modes of the temperature field (ballistic thermal transport). In such conjecture, two flow regimes result: one by means of waves and wave packets and the other by means of solitons and soliton packets. Practically, we discuss about an unique mechanism of thermal transfer in which the usual one can be seen as approximations of it.


Document Type: Research Article


Publication date: 2012-01-01

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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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