1999/12/13 by G. Manoj, P. Ray, Manoj, G. +1
Physics and Astronomy · #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/9912209
10 pages in ReVTeX, 5 .ps figures as separate files
arxiv created 1999/12/13 · arxiv updated 2009/11/30
The spatial distribution of unvisited/persistent sites in d=1 A+A→∅ model is studied numerically. Over length scales smaller than a cut-off ξ(t)∼ tz, the set of unvisited sites is found to be a fractal. The fractal dimension df, dynamical exponent z and persistence exponent θ are related through z(1-df)=θ. The observed values of df and z are found to be sensitive to the initial density of particles. We argue that this may be due to the existence of two competing length scales, and discuss the possibility of a crossover at late times.