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Series on Advances in Mathematics for Applied Sciences - Vol. 7

LINEAR KINETIC THEORY AND PARTICLE TRANSPORT IN STOCHASTIC MIXTURES

by Gerald C Pomraning (University of California, Los Angeles, USA)

This book deals with neutral particle flow in a stochastic mixture consisting of two or more immiscible fluids. After giving an introduction to linear kinetic theory and particle transport in a nonstochastic setting, it discusses recent formulations for particle flow through a background material whose properties are only known in a statistical sense. The mixing descriptions considered are both Markovian and renewal statistics. Various models and exact results are presented for the ensemble average of the intensity in such stochastic mixtures. In the Markovian case, the underlying kinetic description is the integro-differential transport equation, whereas for renewal statistics the natural starting point is the purely integral formulation of transport theory.


Contents:

  • The Transport Equation
  • Simple Statistical Considerations
  • Markovian Mixtures without Scattering
  • Markovian Mixtures with Scattering
  • Non-Markovian Mixtures
  • Miscellaneous Results


Readership: Mathematical physicists, applied mathematicians and statistical physicists.


"It is beautifully written and well-argued ... excellent value for money. Buy it."

Ann. Nucl. Energy, 1993




252pp Pub. date: Dec 1991
ISBN 981-02-0844-8 US$65 / £45


Copyright © 2008 World Scientific Publishing Co. All rights reserved.
Updated on 4 July 2008