Geodesic
Field theory approach in kinetic reaction: Role of random sources and sinks
Teoretičeskaâ i matematičeskaâ fizika, Tome 169 (2011) no. 1, pp. 146-157

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In the framework of a field theory model obtained by “second quantization” of a Doi-type master equation, we investigate the effects of random sources and sinks on the reaction kinetics in the master-equation description. We show that random sources and sinks significantly affect the asymptotic behavior of the model and identify two universality classes when describing them using scaling analysis. We compare the results with the Langevin-equation description of the same process.
Keywords: renormalization group, reaction kinetics, random sink, random source, dimensional analysis, effective action. 
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     author = {M. Gnatich and J. Honkonen and T. Lu\v{c}ivjansk\'y},
     title = {Field theory approach in kinetic reaction: {Role} of random sources and sinks},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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M. Gnatich; J. Honkonen; T. Lučivjanský. Field theory approach in kinetic reaction: Role of random sources and sinks. Teoretičeskaâ i matematičeskaâ fizika, Tome 169 (2011) no. 1, pp. 146-157. http://geodesic.mathdoc.fr/item/TMF_2011_169_1_a13/