This title appears in the Scientific Report :
2016
Please use the identifier:
http://dx.doi.org/10.1088/1742-5468/2016/09/093211 in citations.
Exact scaling solution of the mode coupling equations for non-linear fluctuating hydrodynamics in one dimension
Exact scaling solution of the mode coupling equations for non-linear fluctuating hydrodynamics in one dimension
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 characterize...
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Personal Name(s): | Popkov, V. |
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Schadschneider, A. / Schmidt, J. (Corresponding author) / Schütz, G. M. | |
Contributing Institute: |
Theorie der Weichen Materie und Biophysik; ICS-2 |
Published in: | Journal of statistical mechanics: theory and experiment, 2016 (2016) 9, S. 093211 |
Imprint: |
Bristol
IOP Publ.
2016
|
DOI: |
10.1088/1742-5468/2016/09/093211 |
Document Type: |
Journal Article |
Research Program: |
Functional Macromolecules and Complexes |
Publikationsportal JuSER |
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. |