### The Project

In classical theory of linear neutral particle transport, the probability that a particle at a given point in space and traveling with known kinetic energy will experience an interaction is independent of the direction of motion and the path length, which is the distance traveled by the particle since its previous interaction (birth or scattering). In this situation the classical linear Boltzmann equation is used to model neutral particle transport problems, wherein the locations of the scattering centers are uncorrelated. In this project we propose to use the non-classical generalized linear Boltzmann equation as the mathematical model of neutral particle transport for random statistically homogeneous systems where in the distribution function for chord lengths between scattering centers is not exponential. This situation occurs in the description of photon transport in atmospheric clouds and of neutron transport in pebble-bed nuclear reactors.

### Ricardo Carvalho de Barros

### Richard Vasques

### News

### New

**Nuclear program hosts two visiting scholars from Brazil**

Through a research collaboration with Rio de Janeiro State University, the Department of Mechanical and Aerospace Engineering hosted two visiting scholars from Brazil, Lisa Susana Enomoto and Alan Souza da Silva, during spring semester.

### New

**Ohio State professor to co-coordinate new non-classical particle transport research**

Richard Vasques, an Ohio State professor of the Nuclear Engineering Graduate Program, is co-coordinating a research collaboration with Rio de Janeiro State University’s professor Ricardo Carvalho de Barros ...