VIII. The Brownian movement of linear and non-linear systems

Autor:	D.K.C. MacDonald
Rok vydání:	1954
Předmět:	Physics Nonlinear system Electrical resistivity and conductivity Viscosity (programming) Statistical physics Relaxation (approximation) Noise (electronics) Brownian motion Linear circuit Statistical hypothesis testing
Zdroj:	The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science. 45:63-68
ISSN:	1941-5990 1941-5982
DOI:	10.1080/14786440108520421
Popis:	It has not so far proved possible to extend the conventional Brownian movement analysis to a system with an intrinsically non-linear relaxation mechanism (e.g. viscosity or electrical conductivity). In this paper a new statistical hypothesis is proposed which for the ideally linear circuit yields results in agreement with those already accepted and enables a calculation to be made of the Brownian movement (and corresponding frequency-spectrum) of a non-linear system. The results may be of interest in a number of practical problems, particularly in relation to proposals for the use of electrical ‘noise’ as an absolute thermometer at high temperatures.
Databáze:	OpenAIRE
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