Estimates of Lifetimes Against Pitch Angle Diffusion

Abstract

We consider timescales on which particle distributions respond to pitch angle diffusion. On the longest timescale, the distribution decays at a single rate independent of equatorial pitch angle alpha0, even though the diffusion coefficient, and the distribution itself, may vary greatly with alpha0. We derive a simple integral expression to approximate this decay rate and show that it gives good agreement with the full expression. The roles of both the minimum and loss cone values of the diffusion coefficient are demonstrated and clarified.

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Document Details

Document Type
Technical Report
Publication Date
Jul 24, 2008
Accession Number
ADA507626

Entities

People

  • J. M. Albert
  • Y. Y. Shprits

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Agreements
  • Air Force
  • Air Force Research Laboratories
  • Boundary Value Problems
  • Coefficients
  • Differential Equations
  • Diffusion
  • Diffusion Coefficient
  • Eigenvalues
  • Equations
  • Integrals
  • Military Research
  • New York
  • Particles
  • Physics
  • Radiation
  • Scattering

Fields of Study

  • Physics

Readers

  • Mathematics or Statistics
  • Molecular Photonics/Laser Physics
  • Space/Atmospheric Physics.