Notice of RetractionThe simulation of phase field method about fluctuation to the dendrites growth

Notice of Retraction

After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.

We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.

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Simulated the dendrites growth process with the phase field model of coupling fluctuation, studied the effect of fluctuation intensity to the dendrites morphology and the thermal fluctuation together with the phase field fluctuation to the forming of side branches. The result shows that with the reducing of thermal fluctuation amplitude, the furcation extent of dendrites tip also decreased, transverse dendrites becomes strong, lengthways dendrites becomes degenerate, Doublon structure was disappeared, at last, forming a quite symmetrical dendrites structure. Thermal fluctuation can made a solicitation of unsteadiness of dendrites side branches, it is also a main reason of forming side branches, phase field fluctuation has little contribute to the side branches, it is usually ignored in the calculation; when the value of Fu is appropriate, the introducing of thermal noise can made a solicitation of side branches, but it didn´t change the steady behavior of the dendrites tip.