Pascal principle for diffusion-controlled trapping reactions.
In this paper, we analyze the long-time behavior of the survival probability P(A)(t) of an A particle, that performs lattice random walk in the presence of randomly moving traps B. We show that for both perfect and imperfect trapping reactions, for arbitrary spatial dimension d and for a rather general class of random walks, P(A)(t) is less than or equal to the survival probability of an immobile target A in the presence of randomly moving traps.
Moreau
M
M
Laboratoire de Physique Théorique des Liquides, Université Pierre et Marie Curie, 75252 Paris Cedex 05, France.
Oshanin
G
G
Bénichou
O
O
Coppey
M
M