By now more than 100 years passed since Paul Drude suggested his highly acclaimed model of electronic transport. In the form advanced by A. Sommerfeld, the Drude model is still heavily utilized to describe, for instance, the optical properties of metals. Surprisingly, the key prediction of the Drude model, the frequency dependence of the complex conductivity with its pronounced roll-off was dir...

In this paper, electrical characteristics of nanoscale single-, double-, and all-around-gate silicon-0n-insulator (SOI) devices are computational investigated by using a quantum mechanical simulation. Considering several important properties, such as on/off current ratio, drain induced channel barrier height lowering, threshold voltage roll off, and subthreshold swing, geometry aspect ratio is ...

Compact models of short channel effect in symmetric and asymmetric double gate MOSFETs are developed by solving two-dimensional (2-D) Poisson’s equation as a boundary value problem in the subthreshold region. The subthreshold current is obtained through the 2-D analytic potential distribution function. Threshold voltage rolloff, drain induced barrier lowering (DIBL) and subthreshold slope degra...

Poor (even random) starting points for learning/training/optimization are common in machine learning. In many settings, the method of Robbins and Monro (online stochastic gradient descent) is known to be optimal for good starting points, but may not be optimal for poor starting points — indeed, for poor starting points Nesterov acceleration can help during the initial iterations, even though Ne...

The probability of capture under a model based on the ratio of the largest received power to the sum of interference powers is examined in the limit of a large number of transmitting stations. It is shown in great generality that the limit depends only on the capture ratio threshold and the roll-off exponent of the distribution of power received from a typical station. This exponent is insensit...

Band-pass filtered noise can be perceived to some degree as tonal. The perceived strength of this tonal quality depends on the spectral shape of the filtered noise and the presence of other features in the total sound. The spectral shape of bandpass filtered noise can be characterized by the center frequency, bandwidth, and roll-off rate of the filter. In order to determine the interaction betw...