Journal article
Irreversible dynamics, Onsager-Casimir symmetry, and an application to turbulence.
- Ottinger HC ETH Zürich, Department of Materials, Polymer Physics, HCI H 543, CH-8093 Zürich, Switzerland.
- 2014-11-07
Published in:
- Physical review. E, Statistical, nonlinear, and soft matter physics. - 2014
English
Irreversible contributions to the dynamics of nonequilibrium systems can be formulated in terms of dissipative, or irreversible, brackets. We discuss the structure of such irreversible brackets in view of a degeneracy implied by energy conservation, where we consider different types of symmetries of the bracket corresponding to the Onsager and Casimir symmetries of linear irreversible thermodynamics. Slip and turbulence provide important examples of antisymmetric irreversible brackets and offer guidance for the more general modeling of irreversible dynamics without entropy production. Conversely, turbulence modeling could benefit from elucidating thermodynamic structure. The examples suggest constructing antisymmetric irreversible brackets in terms of completely antisymmetric functions of three indices. Irreversible brackets without well-defined symmetry properties can arise for rare events, causing big configurational changes.
- Language
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- English
- Open access status
- closed
- Identifiers
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- DOI 10.1103/PhysRevE.90.042121
- PMID 25375452
- Persistent URL
- https://sonar.ch/global/documents/52261
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