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V-F Characteristics for Submicrometer GaAs MESFETs
Published in Jong-Chun Woo, Yoon Soo Park, Compound Semiconductors 1995, 2020
A drift-diffusion model associated with the balance equations of (1a) and (1b) was accepted, which is called Energy Transport Drift Diffusion Model(ETDDM) hereafter. ETDDM self-consistently solves the Poisson's and current continuity equations. Eqs. (1a) and (1b) are solved only along a selected current path lying at the maximum electron density under the gate. As the effective V-F characteristics were expressed as a double-valued function of the drift electric field, the characteristics obtained on the source side of Fmax were applied to the source sregion and the others to the drain region. The drift electric field was obtained by subtracting the electric field related with a channel formulation from the total electric field. The Einstein relation was assumed between the effective mobility and the diffusion constant. ETDDM is more physically meaningful and more correct than the previous models[5,8], because it doesn't assume the gradual channel and the complete depletion in contrast to the models.
Self-Propelled Nanomotors
Published in Klaus D. Sattler, st Century Nanoscience – A Handbook, 2020
Another important effect is caused by Brownian motion. The translational diffusion constant is inversely proportional to the size of the particle from the Stokes–Einstein relationD=kBT6πηR. Rotational Brownian motion dominates over ballistic motion as particles become smaller (the rotational diffusion constant scales as D ∝ R–3). This makes particles lose orientation at a very short time scale (e.g., a 1 μm swimmer loses orientation in 3 s, while a 5 nm particle randomizes its orientation in 1 μs.).
Measurement of Electrolytic Conductance
Published in Grinberg Nelu, Rodriguez Sonia, Ewing’s Analytical Instrumentation Handbook, Fourth Edition, 2019
Stacy L. Gelhaus, William R. LaCourse
This equation is the Einstein relation and shows the direct proportionality between the diffusion coefficient and mobility. The relation between conductivity and diffusion coefficient can be seen in the Nernst–Einstein relation and is easily derived from λi=zi2F2D2/RT
Asymmetry Switching Behavior of the Binary Memristor
Published in IETE Journal of Research, 2022
Mohammad Saeed Feali, Arash Ahmadi, Mohsen Hayati
The relationship between the mobility and the diffusion coefficient is characterized by the Einstein relation [28]: where KB is the Boltzmann's constant, T is the temperature and q is the electrical charge.