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

  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},
  volume={70 3 Pt 2},
  • R. Rajesh, O. Zaboronski
  • 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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