# [J5] 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

Annals of Nuclear Energy, vol. 70(-), 2014, pp. 292-300

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### Cite

**APA**

Vasques, R., & Larsen, E. W. (2014). [J5] Non-classical particle transport with angular-dependent path-length distributions. I: Theory. Annals of Nuclear Energy, 70(-), 292–300.

**Chicago/Turabian**

Vasques, Richard, and Edward W. Larsen. “[J5] Non-Classical Particle Transport with Angular-Dependent Path-Length Distributions. I: Theory.” Annals of Nuclear Energy 70, no. - (2014): 292–300.

**MLA**

Vasques, Richard, and Edward W. Larsen. “[J5] Non-Classical Particle Transport with Angular-Dependent Path-Length Distributions. I: Theory.” Annals of Nuclear Energy, vol. 70, no. -, 2014, pp. 292–300.

**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.