Kinetics of diffusion-controlled annihilation with sparse initial conditions
Kinetics of diffusion-controlled annihilation with sparse initial conditions
We study diffusion-controlled single-species annihilation with sparse initial conditions. In this random process, particles undergo Brownian motion, and when two particles meet, both disappear. We focus on sparse initial conditions where particles occupy a subspace of dimension $\delta$ that is embedded in a larger space of dimension $d$. We find …