Relativistic bulk viscous fluids of Burgers type and their presence in neutron stars
arXiv:2304.05455 · doi:10.1088/1361-6382/ace587
Abstract
It is well known that a mixture of two chemical components undergoing one chemical reaction is a bulk viscous fluid, where the bulk stress evolves according to the Israel-Stewart theory. Here, we show that a mixture of three independent chemical components undergoing two distinct chemical reactions can also be viewed as a bulk viscous fluid, whose bulk stress now is governed by a second-order differential equation which reproduces the Burgers model for viscoelasticity. This is a rigorous and physically motivated example of a fluid model where the viscous stress does not undergo simple Maxwell-Cattaneo relaxation, and can actually overshoot the Navier-Stokes stress. We show that, if one accounts for muons, neutron star matter is indeed a bulk viscous fluid of Burgers type.
10 pages, 1 figure, published on CQG, see https://iopscience.iop.org/article/10.1088/1361-6382/ace587
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Cited by in corpus (8)
- Relativistic Bulk Rheology: From Neutron Star Mergers to Viscous Cosmology
- The regime of applicability of Israel-Stewart hydrodynamics
- Infinite Order Hydrodynamics: An Analytical Example
- Noncovariant parabolic theories of relativistic diffusion
- Burgers equation for the bulk viscous pressure of quark matter
- How Lorentz boosts reshape relaxation spectra
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