Temporal behaviour of pressure in solar coronal loops

Details Temporal behaviour of pressure in solar coronal loops Temporal behaviour of pressure in solar coronal loops

Mar 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995soph..157..121s&link_type=abstract

Solar Physics (ISSN 0038-0938), vol. 157, no. 1-2, p. 121-133

Physics

5

Coronal Loops, Magnetohydrodynamic Turbulence, Plasma Pressure, Solar Physics, Sun, Temporal Distribution, Chandrasekhar Equation, Chaos, Solar Magnetic Field, Velocity

Scientific paper

The temporal evolution of pressure in solar coronal loops is studied using the ideal theory of magnetohydrodynamic turbulence in cylindrical geometry. The velocity and the magnetic fields are expanded in terms of the Chandrasekhar-Kendall (C-K) functions. The three-mode representation of the velocity and the magnetic fields submits to the investigation of chaos. When the initial values of the velocity and the magnetic field coefficients are very nearly equal, the system shows periodicities. For randomly chosen initial values of these parameters, the evolution of the velocity and the magnetic fields is nonlinear and chaotic. The consequent plasma pressure is determined in the linear and nonlinear regimes. The evidence for the existence of chaos is established by evaluating the invariant correlation dimension of the attractor D2, a fractal value of which indicates the existence of deterministic chaos.

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