# Infinite family of persistence exponents for interface fluctuations

Source: [Infinite family of persistence exponents for interface fluctuations](<https://www.sota2.com/research/paper/68fa1e417a2b558e29321364>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-23T14:34:19.135Z

Authors: M. Constantin, S. Das Sarma, C. Dasgupta, O. Bondarchuk, D. B. Dougherty, E. D. Williams

Published: 2003-03-11T23:42:34.000Z

## Abstract

We show experimentally and theoretically that the persistence of large deviations in equilibrium step fluctuations is characterized by an infinite family of independent exponents. These exponents are obtained by carefully analyzing dynamical experimental images of Al/Si(111) and Ag(111) equilibrium steps fluctuating at high (970K) and low (320K) temperatures respectively, and by quantitatively interpreting our observations on the basis of the corresponding coarse-grained discrete and continuum theoretical models for thermal surface step fluctuations under attachment/detachment (\`\`high-temperature'') and edge-diffusion limited kinetics (\`\`low-temperature'') respectively.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0303214>)

[PDF](<https://arxiv.org/pdf/cond-mat/0303214.pdf>)