Journal Article

FZJ-2015-07277

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Fibonacci family of dynamical universality classes

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

2015
National Acad. of Sciences Washington, DC

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Please use a persistent id in citations: doi:10.1073/pnas.1512261112

Abstract: Universality is a well-established central concept of equilibrium physics. However, in systems far away from equilibrium, a deeper understanding of its underlying principles is still lacking. Up to now, a few classes have been identified. Besides the diffusive universality class with dynamical exponent z=2, another prominent example is the superdiffusive Kardar−Parisi−Zhang (KPZ) class with z=3/2. It appears, e.g., in low-dimensional dynamical phenomena far from thermal equilibrium that exhibit some conservation law. Here we show that both classes are only part of an infinite discrete family of nonequilibrium universality classes. Remarkably, their dynamical exponents zα are given by ratios of neighboring Fibonacci numbers, starting with either z1=3/2 (if a KPZ mode exist) or z1=2 (if a diffusive mode is present). If neither a diffusive nor a KPZ mode is present, all dynamical modes have the Golden Mean z=(1+5√)/2 as dynamical exponent. The universal scaling functions of these Fibonacci modes are asymmetric Lévy distributions that are completely fixed by the macroscopic current density relation and compressibility matrix of the system and hence accessible to experimental measurement.

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Contributing Institute(s):

1. Theorie der Weichen Materie und Biophysik (IAS-2)
2. 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 2015

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Database coverage:
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