Abstract
We study the stochastic process of two-species coagulation. This process consists in the aggregation dynamics taking place in a ring. Particles and clusters of particles are set in this ring and they can move either clockwise or counterclockwise. They have a probability to aggregate forming larger clusters when they collide with another particle or cluster. We study the stochastic process both analytically and numerically. Analytically, we derive a kinetic theory which approximately describes the process dynamics and determine its asymptotic behavior. In particular we answer the question of how the system gets ordered, with all particles and clusters moving in the same direction, in the long time.KeywordsStochastic processesCoagulation dynamicsKinetic equations
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