Current filamentation model for the Weibel/Filamentation instabilities

A current filamentaion model for a nonrelativistic plasma with e$+$/e- beam has been presented together with PIC simulations, which can explain the mangetic field enhancement during the Weibel/ Filamentation instabilities. This filament model assumes the Hammer -Rostoker equilibrium. In addition, this model predicts preferential acceleration/deceleration for electron-ion plasmas depending on the injected beam to be e$+$/e-.