The cone of nonnegative c-numerical range and its preservers

Chan, Jor-Ting; Chan, Kong; Choi-Nai, Charlies Tu

doi:10.1016/j.laa.2018.12.006

Cited by 2 publications

(1 citation statement)

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“…Furthermore, energy harvesting devices constructed from nanostructures have received special attention from researchers. In this regard, Chan theoretically modeled nonconcentric nested fullerenes C 60 @ C N (where N = 240, 540, 960, and 1500) nanoscale oscillators as possible future energy harvesting devices. Employing a magnetic vortex configuration for spin-torque nano-oscillators, Garcia optimized these devices for sensing applications such as radio frequency signal detection and energy harvesting.…”

Section: Introductionmentioning

confidence: 99%

Design of High-Frequency Carbon Nanotube–Carbon Nanotorus Oscillators for Energy Harvesting: A Molecular Dynamics Study

Ajori,

Sadeghi

2024

Langmuir

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The objective of this study is to examine the feasibility of using carbon-based nanostructures as nano-oscillators for future nanoelectromechanical applications such as energy harvesting devices and vibration sensing. The proposed nano-oscillator is comprised of a carbon nanotube (CNT) oscillating through a fixed carbon nanotorus molecule. For the first time in the literature, molecular dynamics (MD) simulations in conjunction with the Tersoff−Brenner (TB) and 6−12 Lennard-Jones (LJ) potential functions are adopted to determine the molecular interactions of the introduced nanodevice. To simulate the oscillatory behavior, two different schemes, namely, rigid and flexible, are considered. A detailed parametric study is performed to investigate the effects of rigidity, flexibility, and size of nanostructures as well as initial velocity on the force distribution and time histories of displacement and velocity of the core. Numerical results reveal that unlike the rigid oscillators, the flexible oscillators damp out within a few cycles. It is shown that the escape velocity of the flexible scheme is ∼6 times greater than that of the rigid scheme. The operating frequency and the generated power of rigid and flexible schemes under different system parameters are also calculated and compared. It is demonstrated that with increasing the ratio of nanotube-to-nanotorus diameter, the operating frequencies of both schemes decrease, while the generated powers do not behave monotonically. For a determined system parameter, it is observed that the flexible scheme provides higher operating frequencies compared to the rigid one. Moreover, considering that the initial velocity of the system is identical to the escape velocity, the generated power of the flexible scheme is calculated to be ∼14 times greater than that of the rigid scheme.

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Section: Introductionmentioning

confidence: 99%