DocumentCode :
1192958
Title :
Thermodynamics of electrical noise in a class of nonlinear RLC networks
Author :
Tan, Han-Ngee ; Wyatt, John I., Jr.
Volume :
32
Issue :
6
fYear :
1985
fDate :
6/1/1985 12:00:00 AM
Firstpage :
540
Lastpage :
558
Abstract :
This paper addresses the equilibrium and transient behavior of a class of nonlinear RLC circuits driven externally by deterministic inputs and internally by thermal noise from linear resistors. Resistor noise is described by the standard Nyquist-Johnson model [1], [2]. Physical principles from thermodynamics are formulated as theorems concerning the stochastic differential equation and the associated forward Kolmogorov equation describing the network and are proved on a rigorous basis. The forward Kolgomorov equation governing the evolution of the probability density for certain capacitor charges and inductor fluxes is shown to be an infinite dimensional dissipative dynamical system in the sense of Willems [3]. By this route we demonstrate that essentially all the principles of thermodynamics for this class of systems can be derived as mathematical consequences of the Nyquist-Johnson model for thermal noise in linear resistors. A significant clarification of thermodynamic theory results from this formulation, since the mathematical framework and a number of specific conclusions are valid for transient as well as equilibrium behavior.
Keywords :
Circuit noise; Nonlinear circuits; Nonlinear networks and systems; RLC circuits; Capacitors; Circuit noise; Differential equations; Inductors; Nonlinear equations; RLC circuits; Resistors; Stochastic resonance; Thermal resistance; Thermodynamics;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1985.1085758
Filename :
1085758
Link To Document :
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