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Particle Dynamics in a Mass-Conserving Coalescence Process

Meesoon Ha·Hyunggyu Park·Marcel den Nijs
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Abstract

We consider a fully asymmetric one-dimensional model with mass-conserving coalescence. Particles of unit mass enter at one edge of the chain and coalescence while performing a biased random walk towards the other edge where they exit. The conserved particle mass acts as a passive scalar in the reaction process $A+A\to A$, and allows an exact mapping to a restricted ballistic surface deposition model for which exact results exist. In particular, the mass- mass correlation function is exactly known. These results complement earlier exact results for the $A+A\to A$ process without mass. We introduce a comprehensive scaling theory for this process. The exact anaytical and numerical results confirm its validity.

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Meesoon Ha, Hyunggyu Park, Marcel den Nijs. 1999-07-31. Particle Dynamics in a Mass-Conserving Coalescence Process. https://doi.org/10.1088/0305-4470%2F32%2F47%2F101

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