Diffusion-Annihilation in the Presence of a Driving Field

Details Diffusion-Annihilation in the Presence of a Driving Field Diffusion-Annihilation in the Presence of a Driving Field

1995-03-16

arxiv.org/abs/cond-mat/9503086v1

Physics

Condensed Matter

17 pages, latex, no figures

Scientific paper

We study the effect of an external driving force on a simple stochastic reaction-diffusion system in one dimension. In our model each lattice site may be occupied by at most one particle. These particles hop with rates $(1\pm\eta)/2$ to the right and left nearest neighbouring site resp. if this site is vacant and annihilate with rate 1 if it is occupied. We show that density fluctuations (i.e. the $m^{th}$ moments $\langle N^m \rangle$ of the density distribution at time $t$) do not depend on the spatial anisotropy $\eta$ induced by the driving field, irrespective of the initial condition. Furthermore we show that if one takes certain translationally invariant averages over initial states (e.g. random initial conditions) even local fluctuations do not depend on $\eta$. In the scaling regime $t \sim L^2$ the effect of the driving can be completely absorbed in a Galilei transformation (for any initial condition). We compute the probability of finding a system of $L$ sites in its stationary state at time $t$ if it was fully occupied at time $t_0 = 0$.

Affiliated with

Also associated with

No associations

Rating

Diffusion-Annihilation in the Presence of a Driving Field 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 Diffusion-Annihilation in the Presence of a Driving Field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diffusion-Annihilation in the Presence of a Driving Field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-688526