TY  - JOUR
AU  - Popkov, V.
AU  - Schadschneider, A.
AU  - Schmidt, J.
AU  - Schütz, G. M.
TI  - Exact scaling solution of the mode coupling equations for non-linear fluctuating hydrodynamics in one dimension
JO  - Journal of statistical mechanics: theory and experiment
VL  - 2016
IS  - 9
SN  - 1742-5468
CY  - Bristol
PB  - IOP Publ.
M1  - FZJ-2016-07802
SP  - 093211
PY  - 2016
AB  - 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.
LB  - PUB:(DE-HGF)16
UR  - <Go to ISI:>//WOS:000385688700001
DO  - DOI:10.1088/1742-5468/2016/09/093211
UR  - https://juser.fz-juelich.de/record/825339
ER  -