Noise and Fluctuations An Introduction

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ISBN: 9780486450292 | 0486450295
Cover: Paperback
Copyright: 6/23/2006

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This concise study of random processes offers graduate students and research physicists a survey that encompasses both the relationship of Brownian Movement with statistical mechanics and the problem of irreversible processes. The three-part treatment features a general survey of Brownian Movement; correlation, frequency spectrum, and distribution function; and noise in electric currents. 1962 edition.

General survey

Introduction

(7)

Brownian Movement

(15)

Historical origins

(1)

(Erroneous) arguments against molecular origin

(2)

Visual response: time-dependence of noise

(1)

Einstein's analysis: the ``random walk''

(3)

Atomic diffusion

(2)

Brownian Movement and irreversibility

(2)

The diffusion equation and viscosity

(4)

Electrical Brownian Movement and ``shot-noise''

(5)

Thermal fluctuations (Brownian Movement)

(1)

``Shot-noise'' and electronic charge

(4)

The observed noise: time-dependence and frequency response

(13)

Langevin's analysis

(4)

Frequency response

(1)

Nyquist's theorem

(3)

Campbell's theorem

(4)

Concluding Summary

(3)

Correlation, frequency spectrum, and distribution function

Statistically stationary variables

(3)

The autocorrelation function and the Wiener-Khintchine theorem

(7)

Theorem of power-spectrum and displacement

(4)

Application to Brownian Movement

(5)

Autocorrelation function from Langevin's equation

(1)

Power spectrum of velocity or current

(1)

Displacement in relation to power spectrum

(1)

Power spectrum of electrical fluctuations

(2)

A traffic problem

(4)

Average ``gain'' and ``loss'' of vehicles

(1)

Fluctuations (disorder) of vehicles in group

(2)

A related electron-beam noise problem

(4)

The distribution function and the approach to equilibrium

(9)

The ``Master Equation''

(1)

The Fokker-Planck equation

(2)

Diffusion and the equilibrium distribution

(2)

The approach to the equilibrium distribution

(1)

Displacement and power spectrum

(1)

Irreversibility and the ``microscopic'' force

(2)

Conclusion

(2)

Noise in electric currents

Noise in vacuum tubes

(16)

Transit time effects

(4)

Space-charge reduction

(5)

``Flicker noise''

(3)

``Partition noise''

(3)

A random rectangular current

(5)

Appendices

The mean and fluctuations of a Bernoulli distribution

101

(3)

Alternative derivation of Einstein's Brownian Movement equation

104

(3)

Proof of Campbell's theorem

107

(2)

The autocorrelation function for a random rectangular current, and the Poisson distribution

109

(2)

References

111

(2)

Index

113

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Noise and Fluctuations An Introduction

Summary

Table of Contents

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