Survival probability of a diffusing test particle in a system of coagulating and annihilating random walkers
DOIAbstract
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 shown to be universal, independent of lambda('), and to depend only on delta, the ratio of the diffusion constant of test particles to that of the other particles, and on the ratio lambda(a)/lambda(c). In two dimensions we calculate the logarithmic corrections t...
Add to ORKG