Tsallis distributions and 1/f noise from nonlinear stochastic differential equations

Details Tsallis distributions and 1/f noise from nonlinear stochastic differential equations Tsallis distributions and 1/f noise from nonlinear stochastic differential equations

2011-11-13

arxiv.org/abs/1111.2995v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

Probability distributions which emerge from the formalism of nonextensive statistical mechanics have been applied to a variety of problems. In this paper we unite modeling of such distributions with the model of widespread 1/f noise. We propose a class of nonlinear stochastic differential equations giving both the q-exponential or q-Gaussian distributions of signal intensity, revealing long-range correlations and 1/f^beta behavior of the power spectral density. The superstatistical framework to get 1/f^beta noise with q-exponential and q-Gaussian distributions of the signal intensity in is proposed, as well.

Affiliated with

Also associated with

No associations

Rating

Tsallis distributions and 1/f noise from nonlinear stochastic differential equations 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 Tsallis distributions and 1/f noise from nonlinear stochastic differential equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tsallis distributions and 1/f noise from nonlinear stochastic differential equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-340505