# [J9] The nonclassical diffusion approximation to the nonclassical linear Boltzmann equation

### Journal article

Richard Vasques

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

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

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### Cite

**APA**

Vasques, R. (2016). [J9] The nonclassical diffusion approximation to the nonclassical linear Boltzmann equation. Applied Mathematics Letters, 53(-), 63–68.

**Chicago/Turabian**

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

**MLA**

Vasques, Richard. “[J9] The Nonclassical Diffusion Approximation to the Nonclassical Linear Boltzmann Equation.” Applied Mathematics Letters, vol. 53, no. -, 2016, pp. 63–68.

**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.