Nonlinear systems with fast and slow motions:changes in the probability distribution for fast motions under the influence of slower ones

Landa, Polina S. and McClintock, Peter V. E. (2013) Nonlinear systems with fast and slow motions:changes in the probability distribution for fast motions under the influence of slower ones. Physics Reports, 532 (1). 1–26. ISSN 0370-1573

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Abstract

The influence of slow processes on the probability distribution of fast random processes is investigated. By reviewing four examples we show that such influence is apparently of a universal character and that, in some cases, this universality is of multifractal form. As our examples we consider theoretically stochastic resonance, turbulent jets with acoustic forcing, and two problems studied experimentally by Shnoll on the influence of the Earth’s slow rotation on the probability distribution for the velocities of model Brownian particles and on alpha decay. In the case of stochastic resonance, the slow process is a low frequency, harmonic, external force. In the case of turbulent jets, the slow process is acoustic forcing. In the models based on Shnoll’s experiments, the slow processes are inertial forces arising from the rotation of the Earth, both about its own axis and about the Sun. It is shown that all of these slow processes cause changes in the probability distributions for the velocities of fast processes interacting with them, and that these changes are similar in form.

Item Type:
Journal Article
Journal or Publication Title:
Physics Reports
Additional Information:
NOTICE: this is the author’s version of a work that was accepted for publication in Physics Reports. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physics Reports, 532, 1, 2013. DOI#: 10.1016/j.physrep.2013.06.002
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/3100
Subjects:
ID Code:
67693
Deposited By:
Deposited On:
25 Nov 2013 11:40
Refereed?:
Yes
Published?:
Published
Last Modified:
27 Oct 2020 04:15