Functional renormalization group approach - an alternative route to go beyond mode coupling theory
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Publication Details
Author list: Einax M, Schulz M
Publisher: Elsevier
Place: AMSTERDAM
Publication year: 2006
Journal: Journal of Non-Crystalline Solids (0022-3093)
Journal acronym: J NON-CRYST SOLIDS
Volume number: 352
Issue number: 42-49
Start page: 4862
End page: 4864
Number of pages: 3
ISSN: 0022-3093
eISSN: 1873-4812
Languages: English-Great Britain (EN-GB)
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Abstract
On the coarse-grained level of hydrodynamic fluctuations we briefly present a new approach for analyzing the complex transport behavior in dense compressible fluids. Starting from a generic class of nonlinear Langevin equations we derive a set of functional differential equations for the dimensionless transport coefficients. The functional structure of these flow equations represents the interplay between fast thermal fluctuations and the nonlinear coupling of the slow field variables. We obtain, that these equations do not show a critical physical fixed point. Our results provide an interesting tool to investigate the long-wavelength and low-frequency behavior in dense fluids in terms of a functional renormalization group formalism for not necessarily critical systems. (c) 2006 Elsevier B.V. All rights reserved.
Keywords
fluctuations, glass transition, hydrodynamics
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