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The fluctuation dissipation theorem

JAN 01, 1962

DOI: 10.1063/1.3057971

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.

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.

This Content Appeared In
pt-cover_1962_01.jpeg

Volume 15, Number 1

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