Small-Angle Multiple Scattering on a Fractal System of Point Scatterers

Abstract

Multiple scattering of classical particles on a system of point scatterers distributed in space in a fractal fashion is considered in the small-angle approximation. The asymptotic regime of this process is described by a fractional differential equation generalizing the ordinary diffusion in the angle space equation. The solution of the problem is presented both in terms of stable distributions and in terms of Fox-functions. Main features of the obtained solutions are discussed.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADP010898

Entities

People

  • V. V. Uchaikin

Organizations

  • Ulyanovsk State University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Cosmic Rays
  • Differential Equations
  • Diffusion
  • Electronic Mail
  • Equations
  • Fokker Planck Equations
  • Inverse Problems
  • Mean Free Path
  • Neutron Scattering
  • Numbers
  • Particles
  • Random Variables
  • Scattering
  • Subatomic Particles
  • Technical Information Centers
  • Two Dimensional

Readers

  • Aerospace Propulsion Engineering.
  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering

Technology Areas

  • Space
  • Space - Space Objects