A general approach for analyzing baseline power spectral densities: Zwanzig-Mori projection operators and the generalized Langevin equation
作者： Murielle Hsu , John M. Beggs , David Hsu
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摘要: There continues to be widespread interest in 1/f^(alpha) behavior baseline power spectral densities (PSD's) but its origins remain controversial. Zwanzig-Mori projection operators provide a rigorous, common starting place for building theory of PSD's from the bottom up. In this approach, one separates out explicit "system" degrees freedom (which are experimentally monitored) all other implicit or "bath" freedom, and then "projects" integrates freedom. The result is generalized Langevin equation. Within formalism, system PSD has simple relation bath PSD. We explore how several models affect suggest that analyzing can yield valuable information on bath. Debye model acoustic oscillations particular gives rise low frequency 1/f divergence. Other law behaviors possible with models. None these require self-organized criticality.
harvard.edu
arxiv.org
128.84.21.199参考文章(38)
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