Temporal Behaviour of Pressure in Solar Coronal Loops
Abstract
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 ChandrasekharKendall (CK) functions. The threemode 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 attractorD _{2}, a fractal value of which indicates the existence of deterministic chaos.
 Publication:

Solar Physics
 Pub Date:
 March 1995
 DOI:
 10.1007/BF00680612
 Bibcode:
 1995SoPh..157..121S
 Keywords:

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