Fluctuation-dissipation theorem: Difference between revisions

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(New page: ==References== #[http://dx.doi.org/10.1103/PhysRev.32.110 H. Nyquist "Thermal Agitation of Electric Charge in Conductors", Physical Review '''32''' pp. 110 - 113 (1928)] #[http://dx.doi.or...)
 
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The '''fluctuation-dissipation theorem''' is given by
:<math>\left. B \right.= \zeta k_BT</math>
where ''B'' represents random noise or a fluctuating force, <math>\zeta</math> is a dissipative or frictional force, <math>k_B</math> is the [[Boltzmann constant]] and
''T'' is the [[temperature]].
==References==
==References==
#[http://dx.doi.org/10.1103/PhysRev.32.110 H. Nyquist "Thermal Agitation of Electric Charge in Conductors", Physical Review '''32''' pp. 110 - 113 (1928)]
#[http://dx.doi.org/10.1103/PhysRev.32.110 H. Nyquist "Thermal Agitation of Electric Charge in Conductors", Physical Review '''32''' pp. 110 - 113 (1928)]

Revision as of 12:10, 24 August 2007

The fluctuation-dissipation theorem is given by

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left. B \right.= \zeta k_BT}

where B represents random noise or a fluctuating force, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \zeta} is a dissipative or frictional force, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle k_B} is the Boltzmann constant and T is the temperature.

References

  1. H. Nyquist "Thermal Agitation of Electric Charge in Conductors", Physical Review 32 pp. 110 - 113 (1928)
  2. Herbert B. Callen and Theodore A. Welton "Irreversibility and Generalized Noise", Physical Review 83 pp. 34 - 40 (1951)
  3. Herbert B. Callen and Richard F. Greene "On a Theorem of Irreversible Thermodynamics", Physical Review 86 pp. 702 - 710 (1952)
  4. Richard F. Greene and Herbert B. Callen "On a Theorem of Irreversible Thermodynamics. II ", Physical Review 88 pp. 1387 - 1391 (1952)