Non Markovianity of the Boltzmann-Grad limit of a system of random obstacles in a given force field

Valeria Ricci, Ricci, Laurent Desvillettes, Valeria Ricci

Risultato della ricerca: Article

8 Citazioni (Scopus)

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.
Lingua originaleUndefined/Unknown
pagine (da-a)39-46
RivistaBulletin des Sciences Mathematiques
Volume128
Stato di pubblicazionePublished - 2004

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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