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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 169, Number 1, Pages 146–157
DOI: https://doi.org/10.4213/tmf6716 (Mi tmf6716) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Field theory approach in kinetic reaction: Role of random sources and sinks

M. Gnatichab, J. Honkonenc, T. Lučivjanskýab

a Institute of Experimental Physics, Slovak Academy of Sciences, Košice, Slovakia
b Faculty of Sciences, Šafárik University, Košice, Slovakia
c Department of Military Technology, National Defence University, Helsinki, Finland
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DOI: https://doi.org/10.4213/tmf6716
Abstract: 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.
Received: 20.10.2011
English version:
Theoretical and Mathematical Physics, 2011, Volume 169, Issue 1, Pages 1489–1498
DOI: https://doi.org/10.1007/s11232-011-0125-8
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. Gnatich, J. Honkonen, T. Lučivjanský, “Field theory approach in kinetic reaction: Role of random sources and sinks”, TMF, 169:1 (2011), 146–157; Theoret. and Math. Phys., 169:1 (2011), 1489–1498
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v169/i1/p146
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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