  The dephasing time of disordered two-dimensional electron gas in a modulated
magnetic field is studied. It is shown that in the weak inhomogeneity limit,
the dephasing rate is proportional to the field amplitude, while in strong
inhomogeneity limit the dependence is quadratic. It is demonstrated that the
origin of the dependence of dephasing time on field amplitude lies in the
nature of corresponding single-particle motion. A semiclassical Monte Carlo
algorithm is developed to study the dephasing time, which is of qualitative
nature but efficient in uncovering the dependence of dephasing time on field
amplitude for arbitrarily complicated magnetic-field modulation. Computer
simulations support analytical results. The crossover from linear to quadratic
dependence is then generalized to the situation with magnetic field modulated
periodically in one direction with zero mean, and it is argued that this
crossover can be expected for a large class of modulated magnetic fields.
