Boundary Value Solution for Viscous Liquid Flow in Carbon Nanotubes – Application to Spin-Polarized Current Enhancement
DOI:
https://doi.org/10.15407/ujpe71.2.184Keywords:
nanofluidics, boundary-value problem, spin polarization, carbon nanotubeAbstract
Spin Polarization in Carbon Nanotubes (CNTs) is an advanced topic at the intersection of nanotechnology, quantum physics, and spintronics. It refers to the imbalance in the population of spin-up and spin-down electrons in a system. In spintronic devices, this property is used to encode information using electron spin, instead of or in addition to charge. CNTs are ideal for spintronics: because of low spin-orbit coupling (spin states persist longer), weak hyperfine interactions (especially in 12C, which has no nuclear spin), ballistic transport of electrons travelling long distances without scattering and quantum coherence supporting via quantum states. Carbon nanotubes are cylindrical structures made of rolled-up graphene sheets, and are excellent one-dimensional conductors. The presented theoretical model includes an estimation of effectiveness of carbon nanotubes in accelerating the spin-polarized current as well as a boundary value problem for the flow velocity of a fluid. This approach has been stated considering main peculiarities of the problem, in particular, taking into account Debye electric double layer and external friction (friction between the viscous fluid and the nanotube wall). Solution of assigned boundary problem has been determined in the form of an infinite series.
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