Discover
/
Article

The fluctuation dissipation theorem

JAN 01, 1962
Joseph G. Hoffman

In 1928, J. B. Johnson showed experimentally that a resistor with no current flowing in it has a measurable electrical noise across its terminals. The signal of the magnitude of a few microvolts is called noise because when made audible through hi‐fi audio amplifier and speaker, it has a high‐pitched hissing quality. Noise from a current‐free metallic resistor is called Johnson noise, or sometimes thermal noise, because Johnson identified the voltage fluctuations across the resistor with thermal agitation of the charge carriers. His classic experiments showed that the mean‐square‐voltage noise signal was directly proportional to the resistance and the absolute temperature in various types of solid as well as in liquid resistors.

This article is only available in PDF format

References

  1. 1. J. B. Johnson, “Thermal Agitation of Electricity in Conductors”, Phys. Rev. 32, 97 (1928).https://doi.org/PHRVAO

  2. 2. H. Nyquist, “Thermal Agitation of Electric Charge in Conductors”, Phys. Rev. 33, 110 (1928).https://doi.org/PHRVAO

  3. 3. J. Bernamont, “Fluctuations de Potentiel aux Bornes d’un Conducteur métallique de faible Volume parcouru par un Courant”, Ann. de Physique 1, 71 (1937).https://doi.org/ANPYA2

  4. 4. D. A. Bell, “A Theory of Fluctuation Noise”, J. Inst. Elec. Engrs. 83, 522 (1938).https://doi.org/JIEEBK

  5. 5. Threshold Signals, edited by J. L. Lawson and G. E. Uhlenbeck (McGraw‐Hill Book Company, Inc., New York, 1950) MIT Radiation Lab Series. Vol. 24, Chapt. 4: “Basic Origins of Internal Noise”.

  6. 6. L. Brillouin, “Fluctuations dans un Conducteur”, Helv. Phys. Acta 1 (Suppl.), 47 (1934).https://doi.org/HPACAK

  7. 7. P. Langevin, “Physique sur la Théorie du Mouvement Brownien”, Compt. rend. 146, 530–533 (1908).https://doi.org/COREAF

  8. 8. H. B. Callen and R. F. Greene, “On a Theorem of Irreversible Thermodynamics”, Phys. Rev. 86, 702 (1952).https://doi.org/PHRVAO

  9. 9. J. M. Richardson, “Noise in Driven Systems,” Inst. Radio Engrs. Trans. on Inf. Theory, IT‐1, No. 1, 62.

  10. 10. M. Lax, “Fluctuations from the Nonequilbrium Steady Stale”, Revs. Modern Phys. 33, 25 (1960).https://doi.org/RMPHAT

  11. 11. L. Onsager and S. Machlup, “Fluctuations and Irreversible Processes: Part I”, Phys. Rev. 91, 1505 (1953).https://doi.org/PHRVAO

  12. 12. A. Einstein, “Zur Theorie der Brownschen Bewegung”, Ann. Physik 19, 371 (1905).https://doi.org/ANPYA2

More about the authors

Joseph G. Hoffman, University of Buffalo.

Related content
/
Article
A half century after the discovery of Hawking radiation, we are still dealing with the quantum puzzle it exposed.
/
Article
Since the discovery was first reported in 1999, researchers have uncovered many aspects of the chiral-induced spin selectivity effect, but its underlying mechanisms remain unclear.
/
Article
Metrologists are using fundamental physics to define units of measure. Now NIST has developed new quantum sensors to measure and realize the pascal.
/
Article
Nanoscale, topologically protected whirlpools of spins have the potential to move from applications in spintronics into quantum science.
This Content Appeared In
pt-cover_1962_01.jpeg

Volume 15, Number 1

Get PT newsletters in your inbox

pt_newsletter_card_blue.png
PT The Week in Physics

A collection of PT's content from the previous week delivered every Monday.

pt_newsletter_card_darkblue.png
PT New Issue Alert

Be notified about the new issue with links to highlights and the full TOC.

pt_newsletter_card_pink.png
PT Webinars & White Papers

The latest webinars, white papers and other informational resources.

By signing up you agree to allow AIP to send you email newsletters. You further agree to our privacy policy and terms of service.