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Infinite family of persistence exponents for interface fluctuations
M Constantin1, S Das Sarma, C Dasgupta
1Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, MD 20742-4111, USA.
Physical Review Letters
|October 4, 2003
Summary
Large deviations in surface step fluctuations exhibit an infinite set of independent exponents. This finding, observed in aluminum and silver surfaces, offers new insights into surface dynamics and kinetics.
Area of Science:
- Surface science
- Condensed matter physics
- Materials science
Background:
- Surface step fluctuations are crucial for understanding crystal growth and material properties.
- Characterizing large deviations in these fluctuations is essential for a complete theoretical description.
Purpose of the Study:
- To experimentally and theoretically characterize the persistence of large deviations in equilibrium step fluctuations.
- To identify the exponents governing these deviations under different kinetic regimes.
Main Methods:
- Analyzing dynamical experimental images of Al/Si(111) and Ag(111) equilibrium steps at high and low temperatures.
- Developing and applying coarse-grained discrete and continuum theoretical models for surface step fluctuations.
Main Results:
- An infinite family of independent exponents characterizes the persistence of large deviations in equilibrium step fluctuations.
- Distinct exponents were observed for high-temperature (attachment/detachment limited) and low-temperature (edge-diffusion limited) kinetics.
Conclusions:
- The study reveals a complex, multi-exponent nature of surface step fluctuation dynamics.
- The findings provide a more comprehensive understanding of thermal surface step fluctuations and their governing kinetics.