In this paper we consider a particle moving in a random distribution of obstacles. Each obstacle is absorbing and a fixed force field is imposed. We show rigorously that certain (very smooth) fields prevent the process obtained by the Boltzmann-Grad limit from being Markovian. Then, we propose a slightly different setting which allows this difficulty to be removed.
|Rivista||Bulletin des Sciences Mathematiques|
|Stato di pubblicazione||Published - 2004|
All Science Journal Classification (ASJC) codes
Ricci, V., Ricci, Desvillettes, L., & Ricci, V. (2004). Non Markovianity of the Boltzmann-Grad limit of a system of random obstacles in a given force field. Bulletin des Sciences Mathematiques, 128, 39-46.