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Variational multi-fluid dynamics and causal heat conductivity

Variational multi-fluid dynamics and causal heat conductivity
Variational multi-fluid dynamics and causal heat conductivity
We discuss heat conductivity from the point of view of a variational multi-fluid model, treating entropy as a dynamical entity. We demonstrate that a two-fluid model with a massive fluid component and a massless entropy can reproduce a number of key results from extended irreversible thermodynamics. In particular, we show that the entropy entrainment is intimately linked to the thermal-relaxation time that is required to make heat propagation in solids causal. We also discuss non-local terms that arise naturally in a dissipative multi-fluid model, and relate these terms to those of phonon hydrodynamics. Finally, we formulate a complete heat-conducting two-component model and discuss briefly the new dissipative terms that arise.

1373-1387
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Comer, G.L.
f2c1746c-8638-4268-94f0-e5d4375f0358
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Comer, G.L.
f2c1746c-8638-4268-94f0-e5d4375f0358

Andersson, N. and Comer, G.L. (2010) Variational multi-fluid dynamics and causal heat conductivity. Proceedings of the Royal Society of London A, 466 (2117), 1373-1387. (doi:10.1098/rspa.2009.0423).

Record type: Article

Abstract

We discuss heat conductivity from the point of view of a variational multi-fluid model, treating entropy as a dynamical entity. We demonstrate that a two-fluid model with a massive fluid component and a massless entropy can reproduce a number of key results from extended irreversible thermodynamics. In particular, we show that the entropy entrainment is intimately linked to the thermal-relaxation time that is required to make heat propagation in solids causal. We also discuss non-local terms that arise naturally in a dissipative multi-fluid model, and relate these terms to those of phonon hydrodynamics. Finally, we formulate a complete heat-conducting two-component model and discuss briefly the new dissipative terms that arise.

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Published date: 8 May 2010

Identifiers

Local EPrints ID: 151309
URI: https://eprints.soton.ac.uk/id/eprint/151309
PURE UUID: 7f6e72ce-8d97-4c3f-8be4-a28a742b0c98
ORCID for N. Andersson: ORCID iD orcid.org/0000-0001-8550-3843

Catalogue record

Date deposited: 10 May 2010 10:52
Last modified: 18 May 2019 00:37

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