Abstract
Two analytical theories of free dendrite growth, the microscopic solvability condition (MSC) theory and the interfacial wave (IFW) theory were consecutively proposed during the past decade. This article attempts to clarify the differences and commons between these two theories and examine these theories with some latest numerical evidences and experimental data. We shall show that these numerical solutions do not support the MSC theory for the cases of anisotropy parameter smaller than a critical number, while they are consistent with the IFW theory. Moreover, the IFW theory is found to be in an excellent agreement with the experimental results.
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