Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-08-26
Physics
Condensed Matter
Statistical Mechanics
8 figures
Scientific paper
We study front propagation in the reaction diffusion process $\{A\stackrel{\epsilon}\to2A, A\stackrel {\epsilon_t}\to3A\}$ on a one dimensional (1d) lattice with hard core interaction between the particles. Using the leading particle picture, velocity of the front in the system is computed using different approximate methods, which is in good agreement with the simulation results. It is observed that in certain ranges of parameters, the front velocity varies as a power law of $\epsilon_t$, which is well captured by our approximate schemes. We also observe that the front dynamics exhibits temporal velocity correlations and these must be taken care of in order to find the exact estimates for the front diffusion coefficient. This correlation changes sign depending upon the sign of $\epsilon_t-D$, where $D$ is the bare diffusion coefficient of $A$ particles. For $\epsilon_t=D$, the leading particle and thus the front moves like an uncorrelated random walker, which is explained through an exact analysis.
Kumar Niraj
Tripathy Goutam
No associations
LandOfFree
Front propagation in A$\to$2A, A$\to$3A process in 1d: velocity, diffusion and velocity correlations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Front propagation in A$\to$2A, A$\to$3A process in 1d: velocity, diffusion and velocity correlations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Front propagation in A$\to$2A, A$\to$3A process in 1d: velocity, diffusion and velocity correlations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-43367