Quenched nonequilibrium central limit theorem for a tagged particle in the exclusion process with bond disorder

Details Quenched nonequilibrium central limit theorem for a tagged particle in the exclusion process with bond disorder Quenched nonequilibrium central limit theorem for a tagged particle in the exclusion process with bond disorder

2006-03-28

arxiv.org/abs/math/0603653v1

Mathematics

Probability

Scientific paper

For a sequence of i.i.d. random variables $\{\xi_x : x\in \bb Z\}$ bounded above and below by strictly positive finite constants, consider the nearest-neighbor one-dimensional simple exclusion process in which a particle at $x$ (resp. $x+1$) jumps to $x+1$ (resp. $x$) at rate $\xi_x$. We examine a quenched nonequilibrium central limit theorem for the position of a tagged particle in the exclusion process with bond disorder $\{\xi_x : x\in \bb Z\}$. We prove that the position of the tagged particle converges under diffusive scaling to a Gaussian process if the other particles are initially distributed according to a Bernoulli product measure associated to a smooth profile $\rho_0:\bb R\to [0,1]$.

Affiliated with

Also associated with

No associations

Rating

Quenched nonequilibrium central limit theorem for a tagged particle in the exclusion process with bond disorder does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quenched nonequilibrium central limit theorem for a tagged particle in the exclusion process with bond disorder, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quenched nonequilibrium central limit theorem for a tagged particle in the exclusion process with bond disorder will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-463605