Abstract
Using field-theoretic approach the reaction process A + A → ∅ is studied in the vicinity of space dimension d c = 2 by means of the perturbative renormalization group. Dimensional regularization with the use of minimal subtraction scheme is applied and fixed points with corresponding regions of stability are calculated to the two-loop approximation in double (ε,Δ) expansion.
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Adzhemyan, L.T., Honkonen, J., Kompaniets, M.V., Vasieliev, A.N.: Improved ε expansion for three-dimensional turbulence: Two-loop renormalization near two dimensions. Phys. Rev. E 71, 036305 (2005)
Forster, D., Nelson, D.R., Stephen, M.J.: Large-distance and long-time properties of a randomly stirred fluid. Phys. Rev. A 16, 732 (1977)
Hnatich, M., Honkonen, J.: Velocity-fluctuation-induced anomalous kinetics of the A + A → ∅ reaction. Phys. Rev. E 61, 3904 (2000)
Lee, B.P.: Renormalization Group Calculation for the Reaction kA → ∅. J. Phys. A 27, 2633 (1994)
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© 2012 Springer-Verlag Berlin Heidelberg
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Hnatič, M., Honkonen, J., Lučivjanský, T. (2012). On the Mathematical Modelling of the Annihilation Process. In: Adam, G., Buša, J., Hnatič, M. (eds) Mathematical Modeling and Computational Science. MMCP 2011. Lecture Notes in Computer Science, vol 7125. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28212-6_14
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DOI: https://doi.org/10.1007/978-3-642-28212-6_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-28211-9
Online ISBN: 978-3-642-28212-6
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