Hostname: page-component-77c89778f8-vsgnj Total loading time: 0 Render date: 2024-07-18T08:28:44.908Z Has data issue: false hasContentIssue false
  • English
  • Français

Transport theory in anisotropic media

Published online by Cambridge University Press:  24 October 2008

M. M. R. Williams
M. M. R. Williams
Affiliation:
Queen Mary College, University of London
Get access Rights & Permissions [Opens in a new window]

Abstract

We develop a theory of particle scattering in anisotropic media. That is, a medium in which the microstructure causes the mean free paths of the particles to become dependent on their direction of motion with respect to some fixed axis. The equation which results is similar to the normal, one-speed Boltzmann transport equation but has cross-sections which are functions of direction. This equation is solved for arbitrary cross-sectional dependence on direction in plane geometry.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 84 , Issue 3 , November 1978 , pp. 549 - 567
Copyright
Copyright © Cambridge Philosophical Society 1978

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Davison, B.Neutron transport theory (Oxford, Clarendon Press, 1957)Google Scholar
(2)Case, K. M., de Hoffmann, F. and Placzek, G.Introduction ot the theory of neutron diffusion (U.S. Government Printing Office, 1953).Google Scholar
(3)Case, K. M. & Zweifel, P. F.Linear transport theory (London, Addison-Wesley, 1967).Google Scholar
(4)Williams, M. M. R.Mathematical methods in particle transport theory (London, Butter-worth, 1971).Google Scholar
(5)Chadderton, L. T.Radiation damage in crystals (London, Methuen, 1965).Google Scholar
(6)Vanmassenhove, F. R. and Grosjean, C. C. Exact analytical solution and numerical treatment of transport problems in the case of an arbitrary anisotropic scattering law. In ‘Electromagnetic Scattering’, Proc. 2nd Interdisciplinary Conf. Electromagnetic Scattering, Amherst, Mass. (New York, Gordon and Breach, 1967).Google Scholar
(7)Chandrasekhar, S.Radiative transfer (New York, Dover Publications, 1960).Google Scholar
(8)Kuščer, I.Canad. J. Phys. 31 (1953), 1187.CrossRefGoogle Scholar
(9)Mika, J.Nucl. Sci & Engng 22 (1965), 235.CrossRefGoogle Scholar
(10)Wing, G. M.An introduction to transport theory (New York, J. Wiley, 1962).Google Scholar
(11)Williams, M. M. R. J.Phys. A: Math. Gen. 9 (1976), 771.Google Scholar