title: Tsallis distributions and 1/f noise from nonlinear stochastic differential equations.
abstract: Probability distributions that emerge from the formalism of nonextensive statistical mechanics have been applied to a variety of problems. In this article 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(β) behavior of the power spectral density. The superstatistical framework to get 1/f(β) noise with q-exponential and q-Gaussian distributions of the signal intensity is proposed, as well.
authors.affiliation: Institute of Theoretical Physics and Astronomy, Vilnius University, Vilnius, Lithuania. julius.ruseckas@tfai.vu.lt
authors.forename: J
authors.initials: J
authors.lastname: Ruseckas
authors.forename: B
authors.initials: B
authors.lastname: Kaulakys