%0 Journal Article
%T Field-theoretic technique for irreversible reaction processes
%A Michal Hnati£¿
%A Juha Honkonen
%A Tom¨¢£¿ Lu£¿ivjansky
%J Physics
%D 2012
%I arXiv
%R 10.1134/S1063779613020160
%X The single-species annihilation reaction A+A->0 is studied in the presence of random advecting field. In order to determine possible infrared behavior of the system all stable fixed points are presented to two-loop approximation in double $(\epsilon,\Delta)$ expansion with the corresponding regions of stability. The main result of this paper is the calculation of all the renormalization constants and the decay exponent to the second-order precision as well as calculation of scaling function the mean particle number to the first order. Effects of random sources and sinks on reaction kinetics in the master-equation description have been investigated in the framework of a field-theoretic model, obtained by the "second quantization" a la Doi of the corresponding master equation. It has been demonstrated that random sources and sinks have a significant effect on the asymptotic behaviour of the model and two universality classes for their description have been identified by the scaling analysis. Results are compared with the Langevin-equation description of the same process.
%U http://arxiv.org/abs/1212.1025v1