Generally, it is well known that the lithium-ion diffusion in olivine LixFePO4 is correlated with the phase transition dominated by a domino-cascade model instead of a core shell model. Based on the experiment result, we firstly found that the linear Warburg region of electrochemical impedance spectra should tilt with a small angle of 30 degrees for the domino-cascade model, while the core shell model should correspond to a traditional angle of about 45 degrees. Considering that the measured Warburg impedance varies along the charge and discharge processes, we firstly proposed a hybrid phase-transition model as a combination of the domino-cascade model and the core shell model to describe the olivine LixFePO4. And this hybrid model was possibly attributed to both the strong anisotropy in the bulk of olivine LixFePO4 and the different properties between the lithiated and delithiated phases. Potentially, this micro-mechanism could be extended to some other two-phase electrode active materials in lithium ion batteries. (C) 2013 Elsevier B.V. All rights reserved.