Abstract
A novel method for measuring distances between statistical states as represented by probability distribution functions (PDF) has been proposed, namely the information length. The information length enables the computation of the total number of statistically different states that a system evolves through in time. Anomalous transport can presumably be modeled fractional velocity derivatives and Langevin dynamics in a Fractional Fokker–Planck (FFP) approach. The numerical solutions or PDFs are found for varying degree of fractionality ( α ) of the stable Lévy distribution as solutions to the FFP equation. Specifically, the information length of time-dependent PDFs for a given fractional index α is computed.
Highlights
Anomalous transport processes is ubiquitus in many different fields where a diffusive description is improper
The fluctuations under such plasma conditions are often distributed according to Lévy statistics in contrast to the Gaussian charactistics as was displayed in [17]. the turbulence induced fluxes at the edge of the W7-AS stellarator where shown to have probability density functions (PDFs) with power law characteristics most often it is expected that Gaussian statistics dominate, which induces exponentially decaying tails of the distributions
The objective of the present paper is to explore the information length concept pertaining to time-dependent solutions of the fractional Fokker–Planck (FFP) equation resulting from a Langevin description driven by Lévy stochastic force. the present work is based on previous efforts reported in Anderson et al [35,36,37] and may provide new insights on the recent developments in the understanding of the anomalous transport and turbulent processes
Summary
Anomalous transport processes is ubiquitus in many different fields where a diffusive description is improper. In the gradient region or in the scrape-off layer (SOL), the thermal and particle fluxes can be dominated by coherent structures such as (blobs) [1,2,3,4,5,6,7,8] which inherently possess a non-local character [9,10,11,12,13,14,15,16] The fluctuations under such plasma conditions are often distributed according to Lévy statistics in contrast to the Gaussian charactistics as was displayed in [17].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
