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) approximately -r(-2sigma) between A and B or with drift velocity v approximately 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 (l) continuously vary with sigma when sigma < sigma(c) = 1/2 , while that for the distance between adjacent opposite species (l(AB)) varies when sigma < sigma(c)AB = 7/6 . For sigma > sigma(c)AB diffusive motions dominate the kinetics. These anomalous behaviors with the two crossover values of sigma are supported by numerical simulations.
Kwon
Sungchul
S
Department of Physics and Research Institute of Basic Sciences, Kyung Hee University, Seoul 130-701, Korea.
Yoon
S Y
SY
Kim
Yup
Y