Functional renormalization group approach – an alternative route to go beyond mode coupling theory

Proceedings of the 5th International Discussion Meeting on Relaxations in Complex Systems

Mario Einax, Michael Schulz

Research output: Contribution to journal › Article

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.
Original languageEnglish
Pages (from-to)4862-4864
Number of pages3
JournalJournal of Non-Crystalline Solids
Volume352
Issue number42
DOIs
Publication statusPublished - 2006

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complex systems
Functional groups
coupled modes
Large scale systems
congressional reports
routes
compressible fluids
Fluids
flow equations
Differential equations
differential equations
Hydrodynamics
transport properties
hydrodynamics
formalism
low frequencies
Wavelength
fluids
wavelengths
Hot Temperature

Cite this

Einax, Mario ; Schulz, Michael. / Functional renormalization group approach – an alternative route to go beyond mode coupling theory : Proceedings of the 5th International Discussion Meeting on Relaxations in Complex Systems. In: Journal of Non-Crystalline Solids. 2006 ; Vol. 352, No. 42. pp. 4862-4864.
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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.",
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Einax, M & Schulz, M 2006, 'Functional renormalization group approach – an alternative route to go beyond mode coupling theory: Proceedings of the 5th International Discussion Meeting on Relaxations in Complex Systems', Journal of Non-Crystalline Solids, vol. 352, no. 42, pp. 4862-4864. https://doi.org/10.1016/j.jnoncrysol.2006.01.127

Functional renormalization group approach – an alternative route to go beyond mode coupling theory : Proceedings of the 5th International Discussion Meeting on Relaxations in Complex Systems. / Einax, Mario; Schulz, Michael.

In: Journal of Non-Crystalline Solids, Vol. 352, No. 42, 2006, p. 4862-4864.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Functional renormalization group approach – an alternative route to go beyond mode coupling theory

T2 - Proceedings of the 5th International Discussion Meeting on Relaxations in Complex Systems

AU - Einax, Mario

AU - Schulz, Michael

PY - 2006

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N2 - 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.

AB - 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.

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DO - 10.1016/j.jnoncrysol.2006.01.127

M3 - Article

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EP - 4864

JO - Journal of Non-Crystalline Solids

JF - Journal of Non-Crystalline Solids

SN - 0022-3093

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Einax M, Schulz M. Functional renormalization group approach – an alternative route to go beyond mode coupling theory: Proceedings of the 5th International Discussion Meeting on Relaxations in Complex Systems. Journal of Non-Crystalline Solids. 2006;352(42):4862-4864. https://doi.org/10.1016/j.jnoncrysol.2006.01.127

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