Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-04-07
Phys.Rev.E84:026316,2011
Physics
Condensed Matter
Statistical Mechanics
52pages, 11figures; v2: minor corrections; v3: minor corrections, to appear in Physical Review E; v4: minor changes
Scientific paper
10.1103/PhysRevE.84.026316
A detailed study is carried out for the relativistic theory of viscoelasticity which was recently constructed on the basis of Onsager's linear nonequilibrium thermodynamics. After rederiving the theory using a local argument with the entropy current, we show that this theory universally reduces to the standard relativistic Navier-Stokes fluid mechanics in the long time limit. Since effects of elasticity are taken into account, the dynamics at short time scales is modified from that given by the Navier-Stokes equations, so that acausal problems intrinsic to relativistic Navier-Stokes fluids are significantly remedied. We in particular show that the wave equations for the propagation of disturbance around a hydrostatic equilibrium in Minkowski spacetime become symmetric hyperbolic for some range of parameters, so that the model is free of acausality problems. This observation suggests that the relativistic viscoelastic model with such parameters can be regarded as a causal completion of relativistic Navier-Stokes fluid mechanics. By adjusting parameters to various values, this theory can treat a wide variety of materials including elastic materials, Maxwell materials, Kelvin-Voigt materials, and (a nonlinearly generalized version of) simplified Israel-Stewart fluids, and thus we expect the theory to be the most universal description of single-component relativistic continuum materials. We also show that the presence of strains and the corresponding change in temperature are naturally unified through the Tolman law in a generally covariant description of continuum mechanics.
Fukuma Masafumi
Sakatani Yuho
No associations
LandOfFree
Relativistic viscoelastic fluid mechanics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Relativistic viscoelastic fluid mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relativistic viscoelastic fluid mechanics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-718211