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We study the stochastic variation of blazar emission under a 2-D spatiallyresolved leptonic jet model we previously developed. Random events of particleacceleration and injection in small zones within the emission region areassumed to be responsible for flux variations. In addition to producingspectral energy distributions that describe the observed flux of Mrk 421, wefurther analyze the timing properties of the simulated light curves, such asthe power spectral density (PSD) at different bands, flux-flux correlations, aswell as the cross-correlation function between X-rays and TeV {\gamma}-rays. Wefind spectral breaks in the PSD at a timescale comparable to the dominantcharacteristic time scale in the system, which is usually the pre-defined decaytime scale of an acceleration event. Cooling imposes a delay, and so PSDs takenat lower energy bands in each emission component (synchrotron or inverseCompton) generally break at longer timescales. The flux-flux correlationbetween X-rays and TeV {\gamma}-rays can be either quadratic or linear,depending on whether or not there are large variation of the injection into theparticle acceleration process. When the relationship is quadratic, the TeVflares lag the X-ray flares, and the optical & GeV flares are large enough tobe comparable to the ones in X-ray. When the relationship is linear, the lagsare insignificant, and the optical & GeV flares are small.

Particle diffusion and localized acceleration in inhomogeneous AGN jets - Part II: stochastic variation