The roughening transition of crystal surfaces. I: Static and dynamic renormalization theory, crystal shape and facet growth
@article{Nozires1987TheRT, 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}, year={1987}, volume={48}, pages={353-367} }
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…
117 Citations
The Dynamic Roughness of Crystals
- Physics, Materials Science
- 1989
When a crystal grows at a non-zero velocity, its roughening temperature is lower than at equilibrium. A criterion for such a dynamic roughening is β2/(asΔμkBT) ≈ rc/ξ ≤ 1 where β is the step free…
Growth Dynamics and Faceting of 3He Crystals
- Physics, Materials Science
- 2007
Abstract3He crystals start to show facets on their surface only at about 100 mK, well below the roughening transition temperature. To find out the reason for this discrepancy, we have performed the…
Numerical studies of the glass transition in the roughness of a crystalline surface with a disordered substrate
- Physics
- 1996
We investigate by extensive Monte Carlo simulations the discrete Gaussian model for a crystalline surface on a disordered substrate. The average height - height correlation scales as at all…
Rough–flat–rough transition of crystal surfaces
- Materials ScienceNature
- 1992
ABOVE a characteristic temperature, the free energy required to form a step on the surface of a growing crystal may fall to zero; the surface then undergoes a transition from smooth (faceted) to…
Relaxation of crystal shapes caused by step motion
- Materials Science
- 1988
Shape relaxation of a crystal faces and of vicinal faces is theoretically studied interms of step movement. When a flat vicinal surface is perturbed, the power of wave number dependence in the…
Nonequilibrium dynamics below the super-roughening transition
- Physics
- 2005
The nonequilibrium relaxational dynamics of the solid-on-solid model on a disordered substrate and the sine-Gordon model with random phase shifts is studied numerically. Close to the super-roughening…
The effect of dislocations on the roughening transition in the weak coupling approximation
- Materials Science
- 1997
The analysis of the roughening transition proposed by Nozières and Gallet is extended to interfaces threaded with either randomly placed screw dislocations or dislocation loops. In both cases we…
Kinetics of crystal growth near the roughening transition: a Monte Carlo study
- Materials Science, Physics
- 1994
References
SHOWING 1-7 OF 7 REFERENCES
Crystal growth and crystal curvature near roughening transitions in hcp 4He
- Physics
- 1985
We present a quantitative experimental study of the implications of the roughening transition both on the equilibrium shape and the growth kinetics of hcp 4 He crystals. On the one hand, we show…
Ordering in strongly fluctuating condensed matter systems
- Physics
- 1980
Ordering in Strongly Fluctuating Systems: Introductory Comments.- 1. Introduction.- 2. A Theorist's Ideal Glass.- 3. Systems Far From Equilibrium.- Phase Transitions in Low-Dimensional Systems and…
Dynamics of the Roughening Transition
- Physics
- 1978
We use the renormalization-group method of Kosterlitz to study the dynamics of a purely relaxational model for the roughening transition. Implications of our results for the behavior of spatial and…
XY model and the superfluid density in two dimensions
- Physics
- 1979
By computing the incremental free energy of the two-dimensional XY model in a state with a long-wavelength twist of the local short-range order, we evaluate for all T .. T/sub c/-, rho/sub s//T…