Limit velocity for a driven particle in a random medium with mass aggregation

作者：Fontes LRG^*; Neves EJ; Sidoravicius V

来源：Annales de l Institut Henri Poincare-Probabilites et Statistiques, 2000, 36(6): 787-805.

DOI：10.1016/S0246-0203(00)01059-1

• mass aggregation
• Markovian approximation
• asymptotic velocity

We study a one-dimensional infinite system of particles driven by a constant positive force F which acts only on the leftmost particle which is regarded as the tracer particle (t.p.). All other particles are field neutral, do not interact among themselves, and independently of each other with probability 0 < p <less than or equal to> 1 are either perfectly inelastic and "stick" to the t.p. after the first collision, or with probability 1 - p are perfectly elastic, mechanically identical and have the same mass m. At initial time all particles are at rest, and the initial measure is such that the interparticle distances xi (i)'s are i.i.d. r.v.'s. with absolutely continuous density. We show that for any value of the field F > 0, the velocity of the t.p.

• 出版日期2000-12