Statistics – Computation
Scientific paper
Aug 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992a%26a...262..125w&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 262, no. 1, p. 125-130.
Statistics
Computation
4
Neutron Stars, Nonlinear Equations, Stellar Magnetic Fields, Thermoelectricity, Computational Astrophysics, Differential Equations, Spherical Harmonics
Scientific paper
In previous papers we have investigated the amplification of neutron star magnetic fields by thermoelectric effects, where in the calculations the linear approximation was applied. We found a rapid growth of toroidal small-scale magnetic field components. Here, we consider the influence of the dominating nonlinear terms on this growth. It is found that due to some kind of self-coupling the growth rate is decreased with increasing magnetic field strength. Asymptotically, at some 10 exp 11 G a stationary solution is obtained. Applying some plausible approximations, the differential equations are integrated analytically. The solution agrees very well with the numerically found result and has an asymptotically stationary solution, too.
Geppert Ulrich
Wiebicke Hans-Joachim
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