Two-Stream Instability as a Mechanism for Toroidal Magnetic Field   Generation in the Magnetosphere of Crab Pulsar
  New plasma mechanism for the generation of toroidal magnetic field in the magnetosphere of Crab pulsar is presented. It is based on the development of two-stream instability in the relativistic electron-positron plasma of the pulsar magnetosphere. In particular, pulsar magnetosphere relativistic plasma is penetrated by ultrarelativistic electron beam and two-stream instability develops, as a result of which toroidal magnetic field is generated. 
Irakli S. Nanobashvili
astro-ph.GA