Effects of velocity relaxation on the anomalous kinetics of a one-dimensional A+A-->Ø reaction.
A one-dimensional A+A-->slashed circle reaction with alternating dichotomic velocities is investigated to study the effects of velocity relaxation on the anomalous kinetics of this reaction. While we keep the magnitudes constant, the particle velocities are allowed to change from one moving direction to the other with a relaxation time, beta. The kinetics of the reaction is studied for various relaxation times. Although the anomalous slower reaction rate is anticipated for the reaction in one-dimension, compared to the classical rate law, the rate is found to speed up at intermediate times for intermediate values of beta . The time evolution for the spatial distribution of particles is also discussed to elucidate the effects of the velocity relaxation times on the kinetics of the reaction.
Sheu
Wen-Shyan
WS
Department of Chemistry, Fu-Jen Catholic University, Hsin-Chuang, Taipei 242, Taiwan, Republic of China.
Wang
Shiuan-Chuan
SC
D001703:Biophysics / Q000379:methods*; D003198:Computer Simulation; D007700:Kinetics; D008962:Models, Theoretical; D009068:Movement; D011336:Probability; D013997:Time Factors