# Survival probability of a diffusing test particle in a system of coagulating and annihilating random walkers.

@article{Rajesh2004SurvivalPO,
title={Survival probability of a diffusing test particle in a system of coagulating and annihilating random walkers.},
author={R. Rajesh and Oleg V. Zaboronski},
journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
year={2004},
volume={70 3 Pt 2},
pages={
036111
}
}
• Published 1 April 2004
• Physics
• Physical review. E, Statistical, nonlinear, and soft matter physics
We calculate the survival probability of a diffusing test particle in an environment of diffusing particles that undergo coagulation at rate lambda(c) and annihilation at rate lambda(a) . The test particle is annihilated at rate lambda(') on coming into contact with the other particles. The survival probability decays algebraically with time as t(-theta;) . The exponent theta; in d<2 is calculated using the perturbative renormalization group formalism as an expansion in epsilon=2-d . It is…
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