Velocity and diffusion coefficient of A + A <--> A reaction fronts in one dimension.
We study front propagation in the reversible reaction-diffusion system A + A <--> A on a one-dimensional lattice. Extending the idea of leading particle in studying the motion of the front we write a master equation in the stochastically moving frame attached to this particle. This approach provides a systematic way to improve on estimates of front speed obtained earlier. We also find that the leading particle performs a correlated random walk and this correlation needs to be taken into account to get the correct the value of the front diffusion coefficient.
Kumar
Niraj
N
Institute of Physics, Sachivalaya Marg, Bhubaneswar 751005, India.
Tripathy
Goutam
G