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A sample of nano-particle Fe3O4 was synthesized using coprecipitation, and characterized by zero field cooling (ZFC) and field cooling (FC) magnetic moments and the major hysteresis loops.The data are analysed within the framework of a generalized Preisach model, which provides an excellent description of the experimental data.The simulated results are in good agreement with the experimental data.Using the model, we obtain that the blocking temperature of Fe3O4 nano-particles with diameter of 8.4nm is 105K, and the interaction field distribution between the particles is 550 Oe.