Gravitation and Cosmology

, Volume 14, Issue 4, pp 301–308 | Cite as

Diffusion model of evolution of superthermal high-energy particles under scaling in the early universe. II. Early stages

  • Yu. G. Ignatyev
  • R. A. Ziatdinov


The evolution of a superthermal relic component of the plasma is studied on the basis of a non-equilibrium model of Universe and a Fokker-Planck type kinetic equation suggested by one of the authors. The occurrence of two maxima in superthermal particle distribution is shown. The first of these maxima can later evolve to an equilibrium distribution while the second one can give us a high-energy tail of superthermal relic particles.

PACS numbers

04.20.Cv 98.80.Cq 52.27.Ny 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Yu. G. Ignatyev and R. A. Ziatdinov, Grav. Cosmol. 12, 289 (2006).zbMATHADSMathSciNetGoogle Scholar
  2. 2.
    Yu. G. Ignatyev and R. A. Ziatdinov, “Cosmological Evolution of Superthermal Particles Spectrum under Scaling.” Proc. of the Russian School-Seminar on Modern Problems of Gravitation and Cosmology (GRACOS-2007), Kazan-Yalchik: Foliant Publishers, 2007, pp. 103–105 (in Russian).Google Scholar
  3. 3.
    Yu. G. Ignatyev, Izv. Vuzov, Fizika 29(2), 27 (1986).Google Scholar
  4. 4.
    Yu. G. Ignatyev, in: Problems of Gravitation Theory, Relativistic Kinetics and Evolution of the Universe (KSPI, Kazan, 1988), p. 62 (in Russian).Google Scholar
  5. 5.
    Yu. G. Ignatyev, Izv. Vuzov, Fizika 26(12), 9 (1983).ADSGoogle Scholar
  6. 6.
    I. S. Gradshtein and I. M. Ryzhik, Table of Integrals, Sums, Series and Products (Fizmatgiz, Moscow, 1963) (in Russian).Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2008

Authors and Affiliations

  • Yu. G. Ignatyev
    • 1
  • R. A. Ziatdinov
    • 1
  1. 1.Kazan State Pedagogical UniversityKazanRussia

Personalised recommendations