Edwards–Wilkinson surface over a spherical substrate: 1/<i>f</i>noise in the height fluctuations

2004/02/04 by V. Eisler, Viktor Eisler, Sz. Farkas +1
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1088/0305-4470/37/7/004

published as J. Phys. A: Math. Gen. 37 (2004) 2573-2577 · 6 pages

openalex publication_date 2004/02/04 · arxiv created 2004/02/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We study the steady-state fluctuations of an Edwards–Wilkinson type surface with the substrate taken to be a sphere. We show that the height fluctuations on circles at a given latitude have the effective action of a perfect Gaussian 1/ f noise, just as in the case of fixed radius circles on an infinite planar substrate. The effective surface tension, which is the overall coefficient of the action, does not depend on the latitude angle of the circles.

Citations

• First‐Year <i>Wilkinson Microwave Anisotropy Probe</i> ( <i>WMAP</i> ) Observations: Preliminary Maps and Basic Results
• Limiting forms of the frequency distribution of the largest or smallest member of a sample

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