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
8 May 2010
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 A: Mathematical, Physical and Engineering Sciences, 466 (2117), .
(doi:10.1098/rspa.2009.0423).
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
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Local EPrints ID: 151309
URI: http://eprints.soton.ac.uk/id/eprint/151309
PURE UUID: 7f6e72ce-8d97-4c3f-8be4-a28a742b0c98
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Date deposited: 10 May 2010 10:52
Last modified: 14 Mar 2024 02:42
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G.L. Comer
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