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On the Mathematical Modelling of the Annihilation Process

  • Michal Hnatič
  • Juha Honkonen
  • Tomáš Lučivjanský
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7125)

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.

Keywords

annihilation process field-theoretic model perturbative renormalization group 

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References

  1. 1.
    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)MathSciNetCrossRefGoogle Scholar
  2. 2.
    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)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Hnatich, M., Honkonen, J.: Velocity-fluctuation-induced anomalous kinetics of the A + A → ∅ reaction. Phys. Rev. E 61, 3904 (2000)CrossRefGoogle Scholar
  4. 4.
    Lee, B.P.: Renormalization Group Calculation for the Reaction kA → ∅. J. Phys. A 27, 2633 (1994)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Michal Hnatič
    • 1
    • 2
  • Juha Honkonen
    • 3
  • Tomáš Lučivjanský
    • 1
    • 2
  1. 1.Institute of Experimental Physics of Slovak Academy of SciencesKošiceSlovakia
  2. 2.Pavol Jozef Šafárik UniversityKošiceSlovakia
  3. 3.Department of Military TechnologyNational Defence UniversityHelsinkiFinland

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