Research Commons
      • Browse 
        • Communities & Collections
        • Titles
        • Authors
        • By Issue Date
        • Subjects
        • Types
        • Series
      • Help 
        • About
        • Collection Policy
        • OA Mandate Guidelines
        • Guidelines FAQ
        • Contact Us
      • My Account 
        • Sign In
        • Register
      View Item 
      •   Research Commons
      • University of Waikato Research
      • Computing and Mathematical Sciences
      • Computing and Mathematical Sciences Papers
      • View Item
      •   Research Commons
      • University of Waikato Research
      • Computing and Mathematical Sciences
      • Computing and Mathematical Sciences Papers
      • View Item
      JavaScript is disabled for your browser. Some features of this site may not work without it.

      Comparison of the telegraph and hyperdiffusion approximations in cosmic-ray transport

      Litvinenko, Yuri E.; Noble, Patrick L.
      Thumbnail
      Files
      1.4953564.pdf
      Published version, 867.5Kb
      DOI
       10.1063/1.4953564
      Find in your library  
      Citation
      Export citation
      Litvinenko, Y. E., & Noble, P. L. (2016). Comparison of the telegraph and hyperdiffusion approximations in cosmic-ray transport. Physics of Plasmas, 23(6). http://doi.org/10.1063/1.4953564
      Permanent Research Commons link: https://hdl.handle.net/10289/10388
      Abstract
      The telegraph equation and its generalizations have been repeatedly considered in the models of diffusive cosmic-ray transport. Yet the telegraph model has well-known limitations, and analytical arguments suggest that a hyperdiffusion model should serve as a more accurate alternative to the telegraph model, especially on the timescale of a few scattering times. We present a detailed side-by-side comparison of an evolving particle density profile, predicted by the telegraph and hyperdiffusion models in the context of a simple but physically meaningful initial-value problem, compare the predictions with the solution based on the Fokker–Planck equation, and discuss the applicability of the telegraph and hyperdiffusion approximations to the description of strongly anisotropic particle distributions.
      Date
      2016
      Type
      Journal Article
      Publisher
      American Institute of Physics (AIP)
      Rights
      This article is published in the Physics of Plasmas. © 2016 American Institute of Physics (AIP).
      Collections
      • Computing and Mathematical Sciences Papers [1385]
      Show full item record  

      Usage

      Downloads, last 12 months
      65
       
       
       

      Usage Statistics

      For this itemFor all of Research Commons

      The University of Waikato - Te Whare Wānanga o WaikatoFeedback and RequestsCopyright and Legal Statement