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On the Mathematical Modelling of the Annihilation Process

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Book cover Mathematical Modeling and Computational Science (MMCP 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7125))

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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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References

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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

  • eBook Packages: Computer ScienceComputer Science (R0)

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