Numerical shot noise modeling and particle migration scheme

On the nonlinear modeling of shot noise.

We introduced a nonlinear shot-noise model, a natural generalization of the "classic" shot-noise model, which differs markedly from the existing linear shot-noise models. This model produces a wide spectrum of stationary noise processes. Because of its intrinsic nonlinearity, the model's resulting noise processes are capable of displaying a rich variety of both amplitudal and temporal statistic...

Johnson Noise and Shot Noise

Two types of electrical noise fundamental to any circuit and their relation to fundamental constants are investigated. Johnson noise of a controlled-gain system is measured across different resistances and temperatures, leading to a calculation of the Boltzmann constant k = (1.48± .07)×10−23J/K and absolute zero T0 = −(270±30) ◦C. The shot noise of a variable-current system is measured, leading...

Shot noise of a mesoscopic two-particle collider.

We investigate the shot noise generated by particle emission from a mesoscopic capacitor into an edge state coupled to another edge state at a quantum point contact (QPC). For a capacitor subject to a periodic voltage the resulting shot noise is proportional to the number of particles (both electrons and holes) emitted during a period. The shot noise is proportional to the driving frequency, ho...

Infinitely Divisible Shot-Noise: Modeling Fluctuations in Networking and Finance

This paper provides an introduction to recent advances in the study of scale-invariance and related phenomena, namely the concept of infinitely divisible scaling which encompasses statistical self-similarity and multifractal scaling. Further the paper develops path properties and scaling of Poisson products of multiplicative and exponential shot-noise processes. Acknowledgement: Financial suppo...

Technical Note - A Note on Shot-Noise and Reliability Modeling