Continuum approach to crystal surface morphology evolution

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Surface morphology relaxation:``Classical’’ studies

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Experiment: step evolution on Pb(111) , T=80 ⁰C
STM imaging; data from K. Thurmer, U. of Maryland NSF-MRSEC

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2. Continuum evolution laws in (2+1) dims

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2. Continuum evolution laws in (2+1) dims

Surface-free energy approach

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Decaying bi-directional profiles

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Solution of universal ODE; f₀(0)=0, f₀(   )=1

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Attachment-Detachment Limited kinetics (m=2D_s/kaà   )

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Epilogue-Messages

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Example: Step-flow equations for circular steps

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