Quantum-Relativistic Diffusion in Nano-Transport

Paolo Di Sia

doi:10.20944/preprints202410.0982.v1

Preprint Article Version 1 This version is not peer-reviewed

Version 1 : Received: 12 October 2024 / Approved: 12 October 2024 / Online: 15 October 2024 (03:47:05 CEST)

In this paper we 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 novel analytical model, known as DS model, that have a wide scale range of applicability and is usable for every oscillating process in Nature. The nanoscale will be 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) in some cases is considered and examples of application are performed.

Mathematical Modeling; Quantum-Relativistic Effects; Nanophysics; Nanomaterials; Diffusion; Charge/Carrier Transport; DS model

Physical Sciences, Quantum Science and Technology

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Quantum-Relativistic Diffusion in Nano-Transport

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