The Boltzmann Equation with a Soft Potential. Part I. Linear, Spatially-Homogeneous.

Abstract

The Boltzmann equation describes the evolution of a large system of particles. The configuration of particles changes due to the motion of the particles and the collisions of particles. The collisions proceed according to the force law between particles. The 'soft' forces considered here are ones for which the total effect of collisions is smaller for a particle of higher energy. If the system is close to equilibrium, then its evolution can be described approximately by linear equations. In this paper the linear Boltzmann equation with a soft potential is solved for all time. Previously only 'hard' potentials had been considered. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1979
Accession Number
ADA079706

Entities

People

  • Russel E. Caflisch

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Coefficients
  • Collisions
  • Continuous Spectra
  • Eigenvalues
  • Energy
  • Equations
  • Inequalities
  • Integrals
  • Mathematics
  • North Carolina
  • Personal Information Managers
  • Spectra
  • Theorems
  • Time Intervals
  • Two Dimensional
  • United States

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics
  • Robotics and Automation.