Richard Vasques - [J9] The nonclassical diffusion approximation to the

Journal article

Richard Vasques
Applied Mathematics Letters, vol. 53(-), 2016, pp. 63-68

DOI: 10.1016/j.aml.2015.10.003

Cite

APA Click to copy
Vasques, R. (2016). [J9] The nonclassical diffusion approximation to the nonclassical linear Boltzmann equation. Applied Mathematics Letters, 53(-), 63–68. https://doi.org/10.1016/j.aml.2015.10.003

Chicago/Turabian Click to copy
Vasques, Richard. “[J9] The Nonclassical Diffusion Approximation to the Nonclassical Linear Boltzmann Equation.” Applied Mathematics Letters 53, no. - (2016): 63–68.

MLA Click to copy
Vasques, Richard. “[J9] The Nonclassical Diffusion Approximation to the Nonclassical Linear Boltzmann Equation.” Applied Mathematics Letters, vol. 53, no. -, 2016, pp. 63–68, doi:10.1016/j.aml.2015.10.003.

BibTeX Click to copy

@article{richard2016a,
  title = {[J9] The nonclassical diffusion approximation to the nonclassical linear Boltzmann equation},
  year = {2016},
  issue = {-},
  journal = {Applied Mathematics Letters},
  pages = {63-68},
  volume = {53},
  doi = {10.1016/j.aml.2015.10.003},
  author = {Vasques, Richard}
}

ABSTRACT: We show that, by correctly selecting the probability distribution function p(s) for a particle’s distance-to-collision, the nonclassical diffusion equation can be represented exactly by the nonclassical linear Boltzmann equation for an infinite homogeneous medium. This choice of p(s) preserves the true mean-squared free path of the system, which sheds new light on the results obtained in previous work.