Hydrodynamic modes of conducting liquid in random magnetic field

TL;DR

This paper investigates the hydrodynamic behavior of conducting liquids, specifically plasma, in a random magnetic field, deriving new equations and analyzing wave propagation characteristics.

Contribution

It introduces a novel approach by incorporating the second moment of magnetic induction into the hydrodynamic equations for plasma in a random magnetic field.

Findings

Derived ideal magnetic hydrodynamics equations in random magnetic fields.

Obtained phase velocities for one-dimensional plane waves in this system.

Identified the role of the second moment of magnetic induction in plasma dynamics.

Abstract

Hydrodynamics of plasma in the random magnetic field is considered, which is characterized by the second moment of magnetic induction. Equations of ideal magnetic hydrodynamics in such field are received for an adiabatic process. It is shown that in Euler Equation a new variable is second moment of magnetic induction enters, for which is received time Equation on the basis of Maxwell Equations in the magnetohydrodynamic approximation. The one dimension plane waves in this system are studied and the values of their phase velocities are received.