Abstract
The selection of shape and velocity for the dendritic crystal has been an outstanding problem for several decades. Work over the past few years has revealed a new mechanism, that of “microscopic solvability” which resolves these issues. The mechanism relies on a non-perturbative contribution of the microscopic dynamics to create a consistency condition for the macroscopic pattern which in turn has a unique solution. This talk will focus on explaining the problem and its solution and furthermore on the generality of our approach, which to-date has been shown to apply to a variety of interfacial pattern forming systems.
| Original language | American English |
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| Title of host publication | NATO ASI Workshop on Patterns, Defects and Microstructures in Nonequilibrium Systems |
| State | Published - 1987 |