  In the uniform raido-frequency capacitively-coupled plasma (RF-CCP) between a
large electrode pair, adding an axial magnetic field induces diverse
longitudinal filaments. This phenomenon, termed 'filamentation', challenges
conventional understanding and remains poorly understood to date. To reveal its
pattern dynamics, we conduct 2D Particle-In-Cell simulations to comprehensively
examine whole process of filamentation, identifying two distinct stages.
Initially, standing waves grows with a modulational instability, forming
regular filaments. Subsequently, when initial wavenumber matching relation
breaks, the plasma shifts towards dynamic regime governed by competition
between Lorentz and thermal pressure forces, characterized by filaments'
chaotic evolution. These novel clues pave the way to theoretically
understanding the filamentation instability, and provides essential references
in effectively manipulating the magnetized plasmas.
