  In this work, I'm going to explore the pattern of chiral symmetry breaking
and restoration in a solvable magnetic distribution within Nambu--Jona-Lasinio
model. The special semi-localized static magnetic field can roughly simulate
the realistic situation in peripheral heavy ion collisions, thus the study is
important for the dynamical evolution of quark matter. I find that the magnetic
field dependent contribution from discrete spectra usually dominates over that
from continuum ones and chiral symmetry breaking is locally catalyzed by both
the magnitude and scale of the magnetic field.
