Journal Article

FZJ-2016-07861

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Oslo model, hyperuniformity, and the quenched Edwards-Wilkinson model

Grassberger, P.FZJ* ; Dhar, D. ; Mohanty, P. K.

2016
Inst. Woodbury, NY

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Please use a persistent id in citations: http://hdl.handle.net/2128/13344  doi:10.1103/PhysRevE.94.042314

Abstract: We present simulations of the one-dimensional Oslo rice pile model in which the critical height at each site is randomly reset after each toppling. We use the fact that the stationary state of this sand-pile model is hyperuniform to reach system of sizes >107. Most previous simulations were seriously flawed by important finite-size corrections. We find that all critical exponents have values consistent with simple rationals: ν=43 for the correlation length exponent, D=94 for the fractal dimension of avalanche clusters, and z=107 for the dynamical exponent. In addition, we relate the hyperuniformity exponent to the correlation length exponent ν. Finally, we discuss the relationship with the quenched Edwards-Wilkinson model, where we find in particular that the local roughness exponent is αloc=1.

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 511 - Computational Science and Mathematical Methods (POF3-511) (POF3-511)

Appears in the scientific report 2016

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Database coverage:
; ; ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF < 5 ; JCR ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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