7 May 2003 Fluctuation-dissipation-dispersion relation for slowly varying processes
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Proceedings Volume 5114, Noise in Complex Systems and Stochastic Dynamics; (2003) https://doi.org/10.1117/12.500750
Event: SPIE's First International Symposium on Fluctuations and Noise, 2003, Santa Fe, New Mexico, United States
The famous Callen-Welton formula [1] is generalized to the systems with slowly varying parameters. Using the momentum method and the time multiscale technique, developed for a nonlocal plasma in [2] it is shown that not only the dissipation but also the time derivatives of the dispersion determine the amplitude and the width of the spectrum lines of the fluctuations. In the general case, the contribution of the second one may be comparable with the first one. This contribution is affected by a new nonlocal dispersive term which is not related to Joule dissipation and appears because of an additional phase shift between the force and response of the system. The general formalism is illustrated by applications to several particular types of system. The influence of the dispersion contributions on the quality factor of the system is discussed.
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Viatcheslav V. Belyi, Viatcheslav V. Belyi, } "Fluctuation-dissipation-dispersion relation for slowly varying processes", Proc. SPIE 5114, Noise in Complex Systems and Stochastic Dynamics, (7 May 2003); doi: 10.1117/12.500750; https://doi.org/10.1117/12.500750

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