LEVEL CROSSING ANALYSIS OF THE MAGNETOHYDRODYNAMIC EQUATION IN (1+1)-DIMENSION

Abstract

In this paper we investigate the average frequency [Formula: see text] of a certain positive slope which is produced when the velocity and magnetic fields Vy and Bx are crossed by the level [Formula: see text] in the magnetohydrodynamic equation. This level crossing analysis is in the inviscid limit where υ→0 and of course before the appearance of the shocks. The main goal of this paper is to show that this quantity, [Formula: see text], is a good measure for the fluctuations of the velocity and magnetic fields in the magnetohydrodynamic turbulence.