ABSTRACT
In this paper, I present the complete technical analysis of the diffusion function D(t) in the hypothesis of quantum-relativistic effects inside a nanostructure. The calculation is carried out through the use of a recently appeared analytical model, known as DS model, that have a wide scale range of applicability and is able to describe every oscillating process in nature. The nanoscale is considered in the paper, but the presence of a gauge term inside the model allows its application from sub-pico-level to macro-level. In addition to the theoretical framework, the graphical behavior of the function D(t) is considered, and an example of application is performed.
References
- Di Sia P. Modelling at Nanoscale. In: Plasmonics – Principles and Applications, Kim Y.K. (ed), Ch. 1 (2012) 3-22. doi: 10.5772/50755. https://www.intechopen.com/chapters/40337.
- Di Sia P. An Analytical Transport Model for Nanomaterials. Journal of Computational and Theoretical Nanoscience 8 (2011) 84-89. https://doi.org/10.1166/jctn.2011.1663.
- Di Sia P. An Analytical Transport Model for Nanomaterials: The Quantum Version. Journal of Computational and Theoretical Nanoscience 9 (2012) 31-34. https://doi.org/10.1166/jctn.2012.1992.
- Di Sia P. Relativistic nano-transport and artificial neural networks: details by a new analytical model. International Journal of Artificial Intelligence and Mechatronics (IJAIM) 3(3) (2014) 96-100. https://www.ijaim.org/vol-issues.html?view=publication&task=show&id=95.
- Di Sia P. Quantum-Relativistic Velocities in Nano-Transport. Applied Surface Science 446 (2018) 187-190. https://doi.org/10.1016/j.apsusc.2018.01.273.
- Di Sia P. Symmetry and the Nanoscale: Advances in Analytical Modeling in the Perspective of Holistic Unification. Symmetry 15(8) (2023) https://doi.org/10.3390/sym15081611.
- Phillips P. Advanced Solid State Physics. Cambridge: Cambridge University Press (2012).
- Dyson F. Advanced Quantum Mechanics. Singapore: World Scientific Publishing (2007).
- Rudin W. Real and Complex Analysis. New York: McGraw-Hill Higher Education (3rd ed) (1987).
- Ventura P.J., Costa L.C., Carmo M.C., Roman H.E., Pavesi L. AC Conductivity of Porous Silicon from Monte Carlo Simulations. Journal of Porous Materials 7 (2000) 107-110. https://doi.org/10.1023/A:1009678502689.
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