Computer Science
Scientific paper
Nov 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005phdt.........8t&link_type=abstract
Ph.D dissertation, 2005. Section 0153, Part 0606 84 pages; United States -- North Carolina: The University of North Carolina at
Computer Science
Force-Free, Magnetohydrodynamic Waves, Gravity, Relativistic
Scientific paper
The non-linear dynamics of a magnetic field is studied in the presence of a tenuous, conducting plasma and a relativistically strong gravitational field. In particular, we study the propagation and non-linear interactions of magnetohydrodynamic waves in the regime where the inertia of the conducting matter which enforces the MHD condition E x B = 0 can be neglected in comparison with the inertia of the electromagnetic field. By extending the analysis beyond the WKB approximation, we are able to study the non-linearities induced by a gravitational field. We treat the perturbed electromagnetic field as a fluid of infinite conductivity. We calculate the scattering of a torsional (Alfvén) wave by a gravitational potential, and demonstrate a nonlinear coupling with a compressive (fast) wave which is second order in the amplitude of the Alfvén wave. In a cylindrically symmetric spacetime with slow rotation, the coupling is second order in g t [straight phi] and first order in the amplitude of the wave. We also give a fresh analysis of the non-linear interactions between compressive and torsional waves in Minkowski space, with a focus on the relative strengths of their three- and four-mode interactions. In contrast with non-relativistic magnetofluids, the effects of compression are always present. In the case of colliding fast waves, a net displacement of the field lines across (at least) one of the colliding wavepackets is shown to have a strong effect on the outgoing waveform, and to have a qualitatively different interpretation than was previously suggested for colliding Alfvén waves. We show how spacetime curvature modifies the collision between two torsional waves, in both the weak- and strong-field regimes. Finally, we show that the scattering of a torsional Alfvén wave by a Schwarzschild spacetime will lead to the emission of a fast mode with a logarithmically divergent amplitude.
No associations
LandOfFree
Force-free magnetohydrodynamic waves: Non-linear interactions and the effects of strong gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Force-free magnetohydrodynamic waves: Non-linear interactions and the effects of strong gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Force-free magnetohydrodynamic waves: Non-linear interactions and the effects of strong gravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1652824