# Richard Vasques

Assistant Professor of Nuclear Engineering

# [P6] Particle transport in the 1-D diffusive atomic mix limit

### Conference paper

Edward W. Larsen, Richard Vasques, Marco T. Vilhena
Proceedings of Mathematics and Computation, Supercomputing, Reactor Physics and Nuclear and Biological Applications, Avignon, France, 2005 Sep

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### Cite

APA
Larsen, E. W., Vasques, R., & Vilhena, M. T. (2005). [P6] Particle transport in the 1-D diffusive atomic mix limit. In Proceedings of Mathematics and Computation, Supercomputing, Reactor Physics and Nuclear and Biological Applications. Avignon, France.

Chicago/Turabian
Larsen, Edward W., Richard Vasques, and Marco T. Vilhena. “[P6] Particle Transport in the 1-D Diffusive Atomic Mix Limit.” In Proceedings of Mathematics and Computation, Supercomputing, Reactor Physics and Nuclear and Biological Applications. Avignon, France, 2005.

MLA
Larsen, Edward W., et al. “[P6] Particle Transport in the 1-D Diffusive Atomic Mix Limit.” Proceedings of Mathematics and Computation, Supercomputing, Reactor Physics and Nuclear and Biological Applications, 2005.

ABSTRACT: A multiple length-scale asymptotic analysis shows that 1-D diffusive heterogeneous-media transport problems are accurately modeled by the atomic mix approximation when the optical widths of the “chunks” of different materials are O(1). (The atomic mix approximation is commonly known to be valid only when the chunks of different materials are optically thin.) The analysis also shows that for the same class of problems, the Standard, or Levermore-Pomraning (LP) model does not have the correct asymptotic behavior. Numerical results are given that validate the theoretical predictions.

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