Journal Article

FZJ-2016-07802

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Exact scaling solution of the mode coupling equations for non-linear fluctuating hydrodynamics in one dimension

Popkov, V. ; Schadschneider, A. ; Schmidt, J. (Corresponding author) ; Schütz, G. M.FZJ*

2016
IOP Publ. Bristol

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Please use a persistent id in citations: doi:10.1088/1742-5468/2016/09/093211

Abstract: We obtain the exact solution of the one-loop mode-coupling equations for the dynamical structure function in the framework of non-linear fluctuating hydrodynamics in one space dimension for the strictly hyperbolic case where all characteristic velocities are different. All solutions are characterized by dynamical exponents which are Kepler ratios of consecutive Fibonacci numbers, which includes the golden mean as a limiting case. The scaling form of all higher Fibonacci modes are asymmetric Lévy-distributions. Thus a hierarchy of new dynamical universality classes is established. We also compute the precise numerical value of the Prähofer–Spohn scaling constant to which scaling functions obtained from mode coupling theory are sensitive.

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Contributing Institute(s):

1. Theorie der Weichen Materie und Biophysik (ICS-2)

Research Program(s):

1. 551 - Functional Macromolecules and Complexes (POF3-551) (POF3-551)

Appears in the scientific report 2016

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

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