Global Wave Mode Theory for the Formation of Dendritic Structure on a Growing Needle Crystal

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Abstract
An investigation is made of the global instability mechanisms of dendritic crystal growth. In previous papers a global instability mechanism is explored which is called WEASR‐mechanism and the related global WEASR‐modes are derived. In this paper, another global instability mechanism is shown and its related global mode solution is derived, called global trapped wave (GTW)‐ mode. The quantum condition is obtained. A self‐sustaining GTW‐mode is found. This wave mode theory well explains the origin and persistence of the micro‐structure in dendritic growth.