Spectral-correlation characteristics of the Brownian motion of inertial particles

Spectral-correlation characteristics of the Brownian motion of inertial particles

An analytical-numerical approach is used for studying the correlation function and spectrum of one-dimensional Brownian motion of real (inertial) particles in the symmetric monomodal potential profile. The method of analysis is based on cumulantless expansions of the moment functions. The obtained r...

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Bibliographic Details
Published in:Radiophysics and quantum electronics Vol. 51; no. 1; pp. 75 - 82
Main Author: Muzychuk, O. V.
Format: Journal Article
Language:English
Published: Boston Springer US 2008
Springer Nature B.V
Subjects:
Astronomy
Astrophysics and Astroparticles
Atoms & subatomic particles
Brownian motion
Hadrons
Heavy Ions
Lasers
Mathematical and Computational Physics
Nuclear Physics
Observations and Techniques
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
Quantum Optics
Theoretical
Noise Intensity
Correlation Time
Moment Function
Brownian Motion
Correlation Function
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Summary:An analytical-numerical approach is used for studying the correlation function and spectrum of one-dimensional Brownian motion of real (inertial) particles in the symmetric monomodal potential profile. The method of analysis is based on cumulantless expansions of the moment functions. The obtained results can also be interpreted as the spectral-correlation characteristics of a nonlinear oscillator affected by intense wideband noise. The dependence of the spectral-correlation characteristics of the Brownian motion on the noise intensity, nonlinear rigidity, and viscosity of the medium is obtained.
ISSN:0033-8443
1573-9120
DOI:10.1007/s11141-008-9005-y