|
|||||
|
|
Non-Markovianity of the Boltzmann-Grad limit of a system of random obstacles in a given force field |
|
| Authors: | L. Desvillettes V. Ricci |
| Affiliation: | a École Normale Supérieure de Cachan, CMLA 61, Av. du Pdt. Wilson 94235 Cachan Cedex, France b Dipartimento di Matematica, Università di Roma “La Sapienza”, P. A. Moro 1, 00185 Roma, Italy |
| Abstract: | 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. |
| Keywords: | 82C40 82C21 60K35 |
| 本文献已被 ScienceDirect 等数据库收录！ | |