Numerical Surprises in the Kardar-Parisi-Zhang Equation

Newman, T. J.

doi:10.1007/978-3-642-60095-1_15

T. J. Newman²

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 84))

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Abstract

We highlight some recent work on the numerical analysis of the Kardar-Parisi-Zhang equation, which is a well-known Langevin description of interface growth. First, we discuss the difficulties of finding an accurate discretization of the continuum equation. Second, we report on numerical evidence for non-universal scaling, based on observing the effects of varying the noise distribution away from the canonical gaussian form.

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Authors and Affiliations

Department of Physics, Virginia Polytechnic Institute and State University, Blacksburg, VA, 24061, USA
T. J. Newman

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T. J. Newman
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Center for Simulational Physics, The University of Georgia, 30602, Athens, GA, USA
David P. Landau Ph.D. & Heinz-Bernd Schüttler Ph.D. &

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Newman, T.J. (1999). Numerical Surprises in the Kardar-Parisi-Zhang Equation. In: Landau, D.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XI. Springer Proceedings in Physics, vol 84. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60095-1_15

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DOI: https://doi.org/10.1007/978-3-642-60095-1_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64255-5
Online ISBN: 978-3-642-60095-1
eBook Packages: Springer Book Archive

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