Numerical methods and programming
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Num. Meth. Prog.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Numerical methods and programming, 2014, Volume 15, Issue 2, Pages 351–358 (Mi vmp254)  

Galactic dynamo equations with random coefficients

E. A. Mikhaylova, I. I. Modyaevb

a M. V. Lomonosov Moscow State University, Faculty of Physics
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract: A problem connected with magnetic fields of galaxies is considered. Their evolution is described by the dynamo mechanism existing due to the alpha-effect and the differential rotation. These phenomena are characterized by dimensionless coefficients of the dynamo equations. Usually, it is assumed that these parameters are deterministic. We assume that one of them is described by a random process and is renewed on some small time interval. We also assume that this parameter can take one of two values with some dispersion and probability. Each of these values characterizes a component of the interstellar medium. The growth rates of statistical moments of the magnetic field are evaluated. It is shown that there exists the intermittency phenomenon in this problem (the higher moments grow faster). The problem that has only a time dependence and the problem that has a spatial dependence are also considered. It is shown that the spatial dependence lowers the magnetic field growth rate, which can be explained by some extra dissipation of the magnetic field energy. A nonlinear modification of the problem is discussed.
Keywords: galaxy magnetic fields, equations with random coefficients, dynamo theory, intermittency.
Received: 11.05.2014
Document Type: Article
UDC: 519.246.8
Language: Russian
Citation: E. A. Mikhaylov, I. I. Modyaev, “Galactic dynamo equations with random coefficients”, Num. Meth. Prog., 15:2 (2014), 351–358
Citation in format AMSBIB
\Bibitem{MikMod14}
\by E.~A.~Mikhaylov, I.~I.~Modyaev
\paper Galactic dynamo equations with random coefficients
\jour Num. Meth. Prog.
\yr 2014
\vol 15
\issue 2
\pages 351--358
\mathnet{http://mi.mathnet.ru/vmp254}
Linking options:
  • https://www.mathnet.ru/eng/vmp254
  • https://www.mathnet.ru/eng/vmp/v15/i2/p351
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Numerical methods and programming
    Statistics & downloads:
    Abstract page:194
    Full-text PDF :92
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024