Random Growth of Interfaces as a Subordinated Process

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Article discussing the random growth of interfaces as a subordinated process.

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4 p.

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Failla, Roberto; Grigolini, Paolo; Ignaccolo, Massimiliano & Schwettmann, Arne July 30, 2004.

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Article discussing the random growth of interfaces as a subordinated process.

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4 p.

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Copyright 2004 American Physical Society. The following article appeared in Physical Review E, 70:1; http://pre.aps.org/abstract/PRE/v70/i1/e010101

Abstract: We study the random growth of surfaces from within the perspective of a single column, namely, the fluctuation of the column height around the mean value, y(τ)=h(τ)-‹h(τ)›, which is depicted as being subordinated to a standard fluctuation-dissipation process with friction y. We argue that the main properties of Kardar-Parisi-Zhang theory, in one dimension, are derived by identifying the distribution of return times to y(0)=0, which is a truncated inverse power law, with the distribution of subordination times. The agreement of the theoretical prediction with the numerical treatment of the (1+1)-dimensional model of ballistic deposition is remarkably good, in spite of the finite-size effects affecting this model.

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  • Physical Review E, 2004, College Park: American Physical Society

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  • Publication Title: Physical Review E
  • Volume: 70
  • Issue: 1
  • Pages: 4
  • Peer Reviewed: Yes

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UNT Scholarly Works

The Scholarly Works Collection is home to materials from the University of North Texas community's research, creative, and scholarly activities and serves as UNT's Open Access Repository. It brings together articles, papers, artwork, music, research data, reports, presentations, and other scholarly and creative products representing the expertise in our university community.** Access to some items in this collection may be restricted.**

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  • July 30, 2004

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  • Nov. 24, 2011, 12:20 a.m.

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  • May 16, 2014, 12:23 p.m.

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Failla, Roberto; Grigolini, Paolo; Ignaccolo, Massimiliano & Schwettmann, Arne. Random Growth of Interfaces as a Subordinated Process, article, July 30, 2004; [College Park, Maryland]. (digital.library.unt.edu/ark:/67531/metadc67637/: accessed February 25, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT College of Arts and Sciences.