Asymptotic diffusive limits for transport in Markovian mixtures

Journal Article · Sun Nov 01 00:00:00 EST 1992 · Nuclear Science and Engineering; (United States)

OSTI ID:7012763

Malvagi, F; Pomraning, G C; Sammartino, M ^[1]

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1. California Univ., Los Angeles, CA (United States). School of Engineering and Applied Science

We consider the problem of neutral particle transport in a stochastic Markovian mixture consisting of an arbitrary number M of immiscible fluids. The Liouville master equation is used to obtain a model for the ensemble-averaged angular flux. This model consists of M coupled transport equations. If the absorption can be reduced to a diffusive description. Depending upon the scaling of the Markovian transition lengths, the diffusive limit consists of either a single diffusion equation or a set of M coupled diffusion equations. The asymptotic analysis is also used to derive appropriate initial and boundary conditions for each diffusion equation.

• OSTI ID: 7012763
• Journal Information: Nuclear Science and Engineering; (United States), Vol. 112:3; ISSN 0029-5639
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
MIXTURES
TRANSPORT THEORY
ASYMPTOTIC SOLUTIONS
BOUNDARY CONDITIONS
COUPLING
DIFFERENTIAL EQUATIONS
DIFFUSION
MARKOV PROCESS
STOCHASTIC PROCESSES
DISPERSIONS
EQUATIONS
661300* - Other Aspects of Physical Science- (1992-)
661100 - Classical & Quantum Mechanics- (1992-)