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The Burton-Cabrera-Frank(BCF)model for the flow of line defects(steps)on crystal surfaces has offered useful insights into nanostructure evolution.This model has rested on phenomenological grounds.In this talk,we will discuss some recent progress in scaling arguments for the emergence of the BCF theory for non-interacting steps from a stochastic atomistic scheme of a kinetic restricted solid-on-solid model in one spatial dimension.