Geodesic
Stationary state and diffusion for a charged particle in a one dimensional medium with lifetimes
Teoriâ veroâtnostej i ee primeneniâ, Tome 44 (1999) no. 4, pp. 796-825 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We study a one-dimensional semi-infinite system of identical particles with random lifetimes, interacting with a charged particle (the leftmost) which is driven by a constant positive force $F$. Particles interact through elastic collisions and at the initial time all particles are at rest, and the interparticle distances are independent identically distributed positive random variables. Each neutral particle has an exponentially distributed lifetime, which starts counting as soon as the particle moves, and which is independent and identically distributed. Under suitable conditions we prove a strong cluster property, convergence to a limiting measure for the law of the system as seen from a charged particle, and a central limit theorem for the motion of the charged particle.
Keywords: mechanical system, stationary state, central limit theorem, cluster property. 
@article{TVP_1999_44_4_a4,
     author = {A. Pellegrinotti and V. Sidoravicius and M. E. Vares},
     title = {Stationary state and diffusion for a~charged particle in a~one dimensional medium with lifetimes},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {796--825},
     year = {1999},
     volume = {44},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TVP_1999_44_4_a4/}
}
TY  - JOUR
AU  - A. Pellegrinotti
AU  - V. Sidoravicius
AU  - M. E. Vares
TI  - Stationary state and diffusion for a charged particle in a one dimensional medium with lifetimes
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 1999
SP  - 796
EP  - 825
VL  - 44
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/TVP_1999_44_4_a4/
LA  - en
ID  - TVP_1999_44_4_a4
ER  - 
%0 Journal Article
%A A. Pellegrinotti
%A V. Sidoravicius
%A M. E. Vares
%T Stationary state and diffusion for a charged particle in a one dimensional medium with lifetimes
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1999
%P 796-825
%V 44
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1999_44_4_a4/
%G en
%F TVP_1999_44_4_a4
A. Pellegrinotti; V. Sidoravicius; M. E. Vares. Stationary state and diffusion for a charged particle in a one dimensional medium with lifetimes. Teoriâ veroâtnostej i ee primeneniâ, Tome 44 (1999) no. 4, pp. 796-825. http://geodesic.mathdoc.fr/item/TVP_1999_44_4_a4/