Transport in Stochastic Media

The last several years have seen an increasing interest in the formulation of particle transport descriptions in stochastic mixtures, such as in Poisson tessellations, in which the properties of the background material are known only in a statistical sense. The primary goal is to find the ensemble average (expected value) of the particle intensity in phase space, and one of the current challenges is to find higher-order moments.

Applications for this kind of problem include astrophysics, nuclear medicine, reactor physics and criticality, and atmospheric sciences.


[P5] State of the art of particle transport theory in stochastic media

Richard Vasques, Marco T. Vilhena, Mark Thompson, Edward W. Larsen

Proceedings of XXV CILAMCE: Iberian Latin American Congress on Computational Methods in Engineering, Recife, Brazil, 2004 Nov

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

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

[P17] On the accuracy of the non-classical transport equation in 1- D random periodic media

Richard Vasques, Kai Krycki

Proceedings of Joint International Conference on Mathematics and Computation, Supercomputing in Nuclear Applications and the Monte Carlo Method, Nashville, TN, 2015 Apr

[J11] Nonclassical particle transport in one-dimensional random periodic media

Richard Vasques, Kai Krycki, Rachel N. Slaybaugh

Nuclear Science and Engineering, vol. 185(1), 2017, pp. 78-106

[J7] Adjusted Levermore–Pomraning equations for diffusive random systems in slab geometry

Richard Vasques, Nitin K. Yadav

Journal of Quantitative Spectroscopy & Radiative Transfer, vol. 154(-), 2015, pp. 98-112

[P27] A nonclassical Monte Carlo algorithm for transport problems in diffusive binary stochastic media

Richard Vasques, Patrick S. Brantley, Robert K. Palmer

Proceedings of 26th ICTT: International Conference on Transport Theory, Paris, France, 2019 Sep


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