|
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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf6716https://doi.org/10.4213/tmf6716 https://www.mathnet.ru/eng/tmf/v169/i1/p146
|
Statistics & downloads: |
Abstract page: | 363 | Full-text PDF : | 181 | References: | 47 | First page: | 7 |
|