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 noise from the sequence of nonoverlapping rectangular pulses

Kononovičius, Aleksejus; Kaulakys, B.

doi:10.1103/physreve.107.034117

Cited by 5 publications

(1 citation statement)

References 56 publications

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“…As with anomalous diffusion: experimental evidence of 1/f noises started to appear in the nineteen-seventies [158][159][160]; 1/f noises are widely observed across the sciences [161]; the research of 1/f noises is vast and profound [162][163][164][165][166][167][168][169][170]; and, to date, the research of 1/f noises is bustling with activity [171][172][173][174][175][176] 8 . Also, there is a considerable scientific interest in the intersection of anomalous diffusion and 1/f noises, e.g.…”

Section: White Colored and 1/f Noisesmentioning

confidence: 99%

Regular and anomalous diffusion: I. Foundations

Eliazar

2024

J. Phys. A: Math. Theor.

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Diffusion is a generic term for random motions whose positions become more and more diffuse with time. Diffusion is of major importance in numerous areas of science and engineering, and the research of diffusion is vast and profound. This paper is the first in a stochastic `intro series' to the multidisciplinary field of diffusion. The paper sets off from a basic question: how to quantitatively measure diffusivity? Having answered the basic question, the paper carries on to a follow-up question regarding statistical behaviors of diffusion: what further knowledge can the diffusivity measure provide, and when can it do so? The answers to the follow-up question lead to an assortment of notions and topics including: persistence and anti-persistence; aging and anti-aging; spectral densities, white noise, and their generalizations; the Wiener-Khinchin theorem and its generalizations; and colored noises. Then, observing diffusion from a macro level, the paper culminates with: the universal emergence of power-law diffusivity; the three universal diffusion regimes -- one regular, and two anomalous; and the universal emergence of 1/f noise. The paper is entirely self-contained, and its prerequisites are undergraduate mathematics and statistics.

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Section: White Colored and 1/f Noisesmentioning

confidence: 99%

Regular and anomalous diffusion: I. Foundations

Eliazar

2024

J. Phys. A: Math. Theor.

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Spectral design of anomalous diffusion

Eliazar

2023

Physica A: Statistical Mechanics and its Applications

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1 / f noise in semiconductors arising from the heterogeneous detrapping process of individual charge carriers

Kononovicius,

Kaulakys

2024

J. Stat. Mech.

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We propose a model of 1 / f noise in semiconductors based on the drift of individual charge carriers and their interaction with the trapping centers. We assume that the trapping centers are homogeneously distributed in the material. The trapping centers are assumed to be heterogeneous and have unique detrapping rates. We show that uniform detrapping rate distribution emerges as a natural consequence of the vacant trap depths following the Boltzmann distribution, and the detrapping process obeying Arrhenius law. When these laws apply, and if the trapping rate is low in comparison to the maximum detrapping rate, 1 / f noise in the form of Hooge’s relation is recovered. Hooge’s parameter, α H, is shown to be a ratio between the characteristic trapping rate and the maximum detrapping rate. The proposed model implies that 1 / f noise arises from the temporal charge carrier number fluctuations, not from the spatial mobility fluctuations.

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1/f noise from the sequence of nonoverlapping rectangular pulses

Cited by 5 publications

References 56 publications

Regular and anomalous diffusion: I. Foundations

Regular and anomalous diffusion: I. Foundations

Spectral design of anomalous diffusion

1 / f noise in semiconductors arising from the heterogeneous detrapping process of individual charge carriers

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