Abstract
An extension of previous work on the ballistic annihilation reaction {ital A}+{ital A}{r arrow}0 to the coagulation reaction {ital A}+{ital A}{r arrow}{ital A} is presented. Three possible velocities {ital c} (with probability {ital p}), {minus}{ital c} (with probability {ital q}), and zero are considered. While the long-time behavior is controlled by moving particles when {ital p}={ital q}, it is controlled by the stationary particles when {ital p}{ne}{ital q}. The comparison of the coagulation reaction with the annihilation reaction shows that the long-time results are essentially the same except for a rescaling of the time. In addition, the time dependences of the decay in the ballistic coagulation reaction when {ital p}={ital q} and the diffusion-limited coagulation reaction are also identical, but for different physical reasons. The reason for this becomes transparent by rederiving the ballistic coagulation results using a random-walk formalism, which can perhaps be generalized to more complicated ballistic reactions.
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