The roughening transition of crystal surfaces. I: Static and dynamic renormalization theory, crystal shape and facet growth

  title={The roughening transition of crystal surfaces. I: Static and dynamic renormalization theory, crystal shape and facet growth},
  author={Philippe Nozi{\`e}res and François Gallet},
  journal={Journal De Physique},
The renormalization approach to the roughening transition is reconsidered, both in a static and in a dynamic picture. Earlier results based on an asymptotic approximation are corrected, especially as regards the interface mobility. For a tilted interface, or in the presence of an applied force F, a new length scale appears, which must be compared to the correlation length ξ. As a result, the roughening transition is blurred, the crossover occuring below T R . This crossover is approached from… 

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