Experimental persistence probability for fluctuating steps |
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Authors: | Dougherty D B Lyubinetsky I Williams E D Constantin M Dasgupta C Das Sarma S |
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Institution: | Materials Research Science and Engineering Center, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA. |
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Abstract: | The persistence behavior for fluctuating steps on the Si(111)-(sqrt3]xsqrt3])R30 degrees -Al surface was determined by analyzing time-dependent STM images for temperatures between 770 and 970 K. Using the standard persistence definition, the measured persistence probability displays power-law decay with an exponent of theta=0.77+/-0.03. This is consistent with the value of theta=3/4 predicted for attachment-detachment limited step kinetics. If the persistence analysis is carried out in terms of return to a fixed-reference position, the measured probability decays exponentially. Numerical studies of the Langevin equation used to model step motion corroborate the experimental observations. |
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