Continuously varying exponents in A+B→0 reaction with long-ranged attractive interaction

We investigate kinetics of A+B -> 0 reaction with long-range attractive interaction V(r)similar to-r(-2 sigma) between A and B or with drift velocity v similar to r(-sigma) in one dimension, where r is the closest distance between A and B. It is analytically shown that dynamical exponents for density of particles (rho) and size of domains (center dot) continuously vary with sigma when sigma <sigma(c)=1/2, while that for the distance between adjacent opposite species (center dot(AB)) varies when sigma <sigma(AB)(c)=7/6. For sigma>sigma(AB)(c) diffusive motions dominate the kinetics. These anomalous behaviors with the two crossover values of sigma are supported by numerical simulations.