Influence of Thermal Pressure on Radial Eigenfunction of Cylindrical Plasma: A Semi-Analytical and Simulation Study

Non-ideal magneto-fluid, viscous cylindrical plasma, was empirically approximated, theoretically analyzed in magneto-hydrodynamics, mathematically formulated with semi-analytical model, and numerically simulated. The influence of the uniform thermal pressure on the correlation, between the radial magneto-hydrodynamic eigenfunction and the radius/viscosity of the cylindrical plasma, was investigated. The simulated results show that depending on the wavelength, the uniform thermal pressure has a varied impact. To be specific, the uniform thermal pressure significantly affects the value and position of the extremums of the radial eigenfunction of long wavelength, but weakly influences those of the short wavelength, indicating that the radial eigenfunction is sensitive to the wavelength of the viscous cylindrical plasma. We suggest that the simulated results be of some basic and technological interest.