Gunter M. Schütz

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We use the universal nonlinear fluctuating hydrodynamics
approach to study anomalous one-dimensional transport far from
thermal equilibrium in terms of the dynamical structure function.
Generically for more than one conservation law mode coupling theory
is shown to predict a discrete family of dynamical universality
classes with dynamical exponents which are consecutive ratios of
neighboring Fibonacci numbers, starting with z = 2 (corresponding
to a diffusive mode) or z = 3/2 (Kardar-Parisi-Zhang (KPZ) mode).
If neither a diffusive nor a KPZ mode are present, all Fibonacci
modes have as dynamical exponent the golden mean z=(1+\sqrt5)/2.
The scaling functions of the Fibonacci modes are asymmetric Levy
distributions which are completely fixed by the macroscopic
stationary properties, viz. the current-density relation and the
compressibility matrix of the system. The theoretical predictions
are confirmed by Monte-Carlo simulations of a three-lane asymmetric
simple exclusion process.

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Forschungszentrum Jülich
TP seminar room 0.03
Contact: Joachim Krug