Infinite family of persistence exponents for interface fluctuations
arXiv:cond-mat/0303214 · doi:10.1103/PhysRevLett.91.086103
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.
LaTeX, 4 pages, 2 figures
References in corpus (9)
- Persistence exponents for fluctuating interfaces
- Nontrivial Exponent for Simple Diffusion
- Persistence in Nonequilibrium Systems
- Persistent spins in the linear diffusion approximation of phase ordering and zeros of stationary gaussian processes
- Experimental Measurement of the Persistence Exponent of the Planar Ising Model
- Large deviations and nontrivial exponents in coarsening systems
- Experimental Persistence Probability for Fluctuating Steps
- Measurement of persistence in 1D diffusion
- Sign-time distributions for interface growth
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