Universität zu Köln

Popkov, V., Schadschneider, A., Schmidt, J. and Schuetz, G. M. (2016). Exact scaling solution of the mode coupling equations for non-linear fluctuating hydrodynamics in one dimension. J. Stat. Mech.-Theory Exp.. BRISTOL: IOP PUBLISHING LTD. ISSN 1742-5468

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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 Levy-distributions. Thus a hierarchy of new dynamical universality classes is established. We also compute the precise numerical value of the Prahofer-Spohn scaling constant to which scaling functions obtained from mode coupling theory are sensitive.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Popkov, V. UNSPECIFIED UNSPECIFIED UNSPECIFIED Schadschneider, A. UNSPECIFIED UNSPECIFIED UNSPECIFIED Schmidt, J. UNSPECIFIED UNSPECIFIED UNSPECIFIED Schuetz, G. M. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-263771
DOI:	10.1088/1742-5468/2016/09/093211
Journal or Publication Title:	J. Stat. Mech.-Theory Exp.
Date:	2016
Publisher:	IOP PUBLISHING LTD
Place of Publication:	BRISTOL
ISSN:	1742-5468
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language CONSERVATION-LAWS; SYSTEMS; DIFFUSION; GROWTH Multiple languages Mechanics; Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/26377