We study a one-dimensional semi-infinite system of identical particles driven by a constant force acting on the first particle. Particles interact through elastic collisions. At the initial time particles are at rest and the interparticle distances are i.i.d. random variables with minimal distance d>0. We show that if d is lage enough the dynamics has a strong cluster property and the system as seen from the first particle converges for large times to a limiting distribution.
Convergence to a Stationary State and Diffusion for a Charged Particle in a Standing Medium / Boldrighini, Carlo; G., Cosimi; S., Frigio; A., Nogueira. - In: PROBABILITY THEORY AND RELATED FIELDS. - ISSN 0178-8051. - STAMPA. - 80:(1989), pp. 481-500.
Convergence to a Stationary State and Diffusion for a Charged Particle in a Standing Medium
BOLDRIGHINI, Carlo;
1989
Abstract
We study a one-dimensional semi-infinite system of identical particles driven by a constant force acting on the first particle. Particles interact through elastic collisions. At the initial time particles are at rest and the interparticle distances are i.i.d. random variables with minimal distance d>0. We show that if d is lage enough the dynamics has a strong cluster property and the system as seen from the first particle converges for large times to a limiting distribution.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
