This study aimed to investigate the migration behavior and migration rule of two major plasticizers, diethyl phthalate (DEP) and dibutyl phthalate (DBP), from polyethylene (PE) coated paper for take-out fast food to acidic food simulants under different working conditions of temperature, microwave power, and random vibration levels. The experimental samples of PE coated paper were pretreated by ultrasonic extraction combined with the vortex method. GC-MS was used to measure the migration rates of the two plasticizers under various working conditions, and comparative analysis of the results was conducted, and the migration experimental data were fitted by the Crank model. Results showed that the mobilities of the two plasticizers increased with the increase in temperature, microwave power, and acceleration level. Under the selected working conditions, the mobilities of two plasticizers from PE-coated paper into acid simulants caused by microwave power, temperature, and random vibration level increased by 20%, 10%, and 5%, respectively. The effects of temperature and microwave power on plasticizer DEP and DBP in PE-coated paper were in accordance with the Crank model, and the diffusion coefficient D increased with the increase of the severity of the working condition level. Based on the experimental data of the Crank model for the random vibration level conditions, a new mathematical formula model with a good fitting effect was built.
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