[J6] Non-classical particle transport with angular-dependent path-length distributions. I: Theory

Journal article

Richard Vasques, Edward W. Larsen
Annals of Nuclear Energy, vol. 70(-), 2014, pp. 292-300

DOI: 10.1016/j.anucene.2013.12.021

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APA Click to copy
Vasques, R., & Larsen, E. W. (2014). [J6] Non-classical particle transport with angular-dependent path-length distributions. I: Theory. Annals of Nuclear Energy, 70(-), 292–300. https://doi.org/10.1016/j.anucene.2013.12.021

Chicago/Turabian Click to copy
Vasques, Richard, and Edward W. Larsen. “[J6] Non-Classical Particle Transport with Angular-Dependent Path-Length Distributions. I: Theory.” Annals of Nuclear Energy 70, no. - (2014): 292–300.

MLA Click to copy
Vasques, Richard, and Edward W. Larsen. “[J6] Non-Classical Particle Transport with Angular-Dependent Path-Length Distributions. I: Theory.” Annals of Nuclear Energy, vol. 70, no. -, 2014, pp. 292–300, doi:10.1016/j.anucene.2013.12.021.

BibTeX Click to copy

@article{richard2014a,
  title = {[J6] Non-classical particle transport with angular-dependent path-length distributions. I: Theory},
  year = {2014},
  issue = {-},
  journal = {Annals of Nuclear Energy},
  pages = {292-300},
  volume = {70},
  doi = {10.1016/j.anucene.2013.12.021},
  author = {Vasques, Richard and Larsen, Edward W.}
}

ABSTRACT: This paper extends a recently introduced theory describing particle transport for random statistically homogeneous systems in which the distribution function p(s) for chord lengths between scattering centers is non-exponential. Here, we relax the previous assumption that p(s) does not depend on the direction of flight Ω; this leads to a new generalized linear Boltzmann equation that includes angular-dependent cross sections, and to a new generalized diffusion equation that accounts for anisotropic behavior resulting from the statistics of the system.