NDLI: Limits to the fluctuation-dissipation theorem for nonlinear circuits

Content Provider	IEEE Xplore Digital Library
Author	Coram, G.J. Anderson, B.D.O. Wyatt Jr., J.L.
Copyright Year	1992
Abstract	It is well known that the equilibrium thermal noise behavior at the terminals of any linear time-invariant (LTI) RLC circuit can be predicted from knowledge of the driving-point impedance and temperature alone. This paper examines the conjecture that similar results hold if the capacitors and inductors are nonlinear. We refine the conjecture by analyzing the behavior of an RLC bridge circuit with the nonlinear inductor and capacitor carefully matched so the terminal behavior reduces to that of a linear resistor R. We show that the terminal noise current is not that predicted by the Nyquist-Johnson model for R if the driving voltage is time dependent or the inductor and capacitor are time varying. This counterexample disproves the conjecture, which does hold, however, for the bridge circuit with nonlinear (but time invariant) devices if the driving voltage is zero or constant. This paper makes exact calculations using techniques from stochastic differential equations and using reversibility arguments.
Starting Page	1323
Ending Page	1329
Page Count	7
File Size	156592
File Format	PDF
ISSN	10577122
Volume Number	47
Issue Number	9
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2000-09-01
Publisher Place	U.S.A.
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Nonlinear circuits Capacitors Inductors Circuit noise Bridge circuits Voltage RLC circuits Impedance Temperature Resistors
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Thermal noise behavior of a nonlinear bridge circuit

On passivity and power-balance inequalities of nonlinear RLC circuits

Three steps to chaos. I. Evolution

Thermodynamics of electrical noise in a class of nonlinear RLC networks

Three steps to chaos. II. A Chua's circuit primer

A Problem in Synthesis

Correspondence between second-order linear differential equations and RLC series circuits

The design and self-calibration of inductive voltage dividers for an automated impedance scaling bridge

Simple and accurate nonlinear current conveyor macromodel

Limits to the fluctuation-dissipation theorem for nonlinear circuits

Similar Documents

Thermal noise behavior of a nonlinear bridge circuit

On passivity and power-balance inequalities of nonlinear RLC circuits

Three steps to chaos. I. Evolution

Thermodynamics of electrical noise in a class of nonlinear RLC networks

Three steps to chaos. II. A Chua's circuit primer

A Problem in Synthesis

Correspondence between second-order linear differential equations and RLC series circuits

The design and self-calibration of inductive voltage dividers for an automated impedance scaling bridge

Simple and accurate nonlinear current conveyor macromodel

Limits to the fluctuation-dissipation theorem for nonlinear circuits