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Random Interactions
Surprises in Two-species Annihilation: Logarithmic corrections to decay
by Dr. Rahul Dandekar (ICTP, Trieste)
Wednesday, January 13, 2016
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to
(Asia/Kolkata)
at A304
at A304
| Description |
We describe the long-time behaviour of surviving particles n(t) in the reaction A+B → 0 on a 1D lattice, in the presence of exclusion between particles of the same species. We consider initial conditions which are infinite repetitions of blocks of the type 'AB', 'AABB', 'AAABBB', etc. We show, using the independent interval approximation, that the number of surviving particles n(t) ~ t-1/2 for blocks of length 4n-2, and n(t) ~ t-1/2 log(t) for blocks of length 4n. Our predictions are confirmed using first-passage monte-carlo simulations for very large systems. |
