Hilhorst, H. J.Deloubriere, O.Washenberger, M. J.Täuber, Uwe C.2016-09-302016-09-302004-07-160305-4470http://hdl.handle.net/10919/73108The kinetics of the q species pair annihilation reaction (A_i + A_j → ∅ for 1 ≤ i < j ≤ q) in d dimensions is studied by means of analytical considerations and Monte Carlo simulations. In the long-time regime the total particle density decays as ρ(t) ∼ t^-∞. For d = 1 the system segregates into single species domains, yielding a different value of α for each q; for a simplified version of the model in one dimension we derive α(q) = (q − 1)/(2q). Within mean-field theory, applicable in d ≥ 2, segregation occurs only for q < 1 + (4/d). The only physical realization of this scenario is the two-species process (q = 2) in d = 2 and d = 3, governed by an extra local conservation law. For d ≥ 2 and q ≥ 1 + (4/d) the system remains disordered and its density is shown to decay universally with the mean-field power law (α = 1) that also characterizes the single-species annihilation process A + A → ∅.7063 - 7093 (31) page(s)enIn CopyrightPhysics, MultidisciplinaryPhysics, MathematicalPhysicsRENORMALIZATION-GROUPSPECIES ANNIHILATIONPHASE-TRANSITIONSSPATIAL STRUCTUREQUANTUM CHAINSFIELDPARTICLEKINETICSBEHAVIORDYNAMICSArticle - Refereedhttps://doi.org/10.1088/0305-4470/37/28/0013728