Field-theoretic technique for irreversible reaction processes

Abstract

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.

to be published in Physics of Elementary Particles and Atomic Nuclei

References in corpus (4)

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• Applications of Field-Theoretic Renormalization Group Methods to Reaction-Diffusion Problems
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Cited by in corpus (3)

• Survival in two-species reaction-superdiffusion system: Renormalization group treatment and numerical simulations
• Operator Approach to the Master Equation for the One-Step Process
• Approximate calculation of functional integrals arising from the operator approach