Particle Dynamics in a Mass-Conserving Coalescence Process

Details Particle Dynamics in a Mass-Conserving Coalescence Process Particle Dynamics in a Mass-Conserving Coalescence Process

1999-07-31

arxiv.org/abs/cond-mat/9908001v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 6 figures

Scientific paper

10.1088/0305-4470/32/47/101

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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