Diffusion effects in stationary chemical production–annihilation processes

Schulz, Michael; Reineker, Peter
January 1995
Journal of Chemical Physics;1/8/1995, Vol. 102 Issue 2, p828
Academic Journal
A field theory for chemical processes with a production and an annihilation reaction taking into account the diffusion of the particles during their lifetime, i.e., to a production-diffusion-annihilation process (PDA model), is formulated exactly by using master equations and Poisson transform techniques. From this standpoint, a Langevin equation for the evolution of the PDA model can be determined. This equation corresponds to a generalized Kadar–Parisi–Zhang (KPZ) equation and predicts a scaling behavior in the small production rate regime, which is calculated by using the dynamical renormalization group analyses. © 1995 American Institute of Physics.


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