A consistent theory of neutral particle transport in an infinite medium

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

The solution to the age-old infinite medium Green's function is revisited using the hindsight of the past coupled with the wisdom of the present. A new solution is found based on a blend of the theories developed by F. Vanmassenhove and C. Grosjean, E. Inonu, K. Case and J. Mika. The solution is obtained from well-known recurrence relations and is shown to reduce to the singular eigenfunction representation of Case. Closure is shown to be a consequence of the infinite medium Green's function.

Original languageEnglish (US)
Pages (from-to)43-68
Number of pages26
JournalTransport Theory and Statistical Physics
Volume29
Issue number1-2
StatePublished - 2000

Fingerprint

Particle Transport
neutral particles
Green's function
Green's functions
Recurrence relation
Eigenvalues and eigenfunctions
wisdom
closures
Eigenfunctions
eigenvectors
Closure
present

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

A consistent theory of neutral particle transport in an infinite medium. / Ganapol, Barry D.

In: Transport Theory and Statistical Physics, Vol. 29, No. 1-2, 2000, p. 43-68.

Research output: Contribution to journalArticle

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