The derivation of the linear Boltzmann equation from a Rayleigh gas particle model
The derivation of the linear Boltzmann equation from a Rayleigh gas particle model
A linear Boltzmann equation is derived in the Boltzmann-Grad scaling for the deterministic dynamics of many interacting particles with random initial data. We study a Rayleigh gas where a tagged particle is undergoing hard-sphere collisions with background particles, which do not interact among each other. In the Boltzmann-Grad scaling, we …