1/f^beta noise in a model for weak ergodicity breaking

Details 1/f^beta noise in a model for weak ergodicity breaking 1/f^beta noise in a model for weak ergodicity breaking

2010-02-04

arxiv.org/abs/1002.0993v2

Chemical Physics 375 (2-3), 370-377 (2010)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 7 figures; extended references and summary, smaller corrections; final version

Scientific paper

10.1016/j.chemphys.2010.06.020

In systems with weak ergodicity breaking, the equivalence of time averages and ensemble averages is known to be broken. We study here the computation of the power spectrum from realizations of a specific process exhibiting 1/f^beta noise, the Rebenshtok-Barkai model. We show that even the binned power spectrum does not converge in the limit of infinite time, but that instead the resulting value is a random variable stemming from a distribution with finite variance. However, due to the strong correlations in neighboring frequency bins of the spectrum, the exponent beta can be safely estimated by time averages of this type. Analytical calculations are illustrated by numerical simulations.

Affiliated with

Also associated with

No associations

Rating

1/f^beta noise in a model for weak ergodicity breaking does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with 1/f^beta noise in a model for weak ergodicity breaking, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and 1/f^beta noise in a model for weak ergodicity breaking will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-155010