Magnetized Positive Column in Turbulence

Abstract

Positive Column in magnetic fields B which are much stronger than the critical field B_c for helical instability is studied theoretically. Radial density distributions n₀(r) of charged particles are expressed by the confluent hypergeometric function when the time average ⟨n₁E₁⟩ is proportional to rn₀(r), where n₁ and E₁ are the fluctuating densities and electric fields. Relative magnitudes of the discharge electric field E_0z to that at B=0 are estimated through the degree of ⟨n₁E₁⟩. From constant fields E_0z regardless of an increase of B, it is derived that |⟨n₁E₁⟩| almost linearly depends on B and loss flows of the plasma across B become constant.