Answers are grounded in this paper and cite their sources.
We study the kinetics of ballistic annihilation, A+A{→}0, with continuous initial particle velocity distributions. The concentration and the rms velocity are found to decay as c{~}t^-α and vᵣₘₛ{~}t^-β, respectively, with the relation {α}+{β}=1 holding in any spatial dimension. A ``mean-field'' Boltzmann equation for the evolution of the velocity distribution predicts that {α} and {β} depend strongly on the initial condition, a behavior which is confirmed numerically in one and two dimensions.
No takes yet. Share an insight, caveat, or question.
Ben‐Naim et al. (1993) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: