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Relativistic bulk viscous fluids of Burgers type and their presence in neutron stars
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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.
Forward citations
Cited by 5 Pith papers
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A new family of polytropic bulk-viscous fluids reduces to Israel-Stewart near equilibrium and stays causal, symmetric hyperbolic, and thermodynamically consistent for arbitrarily large viscous stresses.
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The infinite Chapman-Enskog series for radiative shear viscosity is computed exactly for linear incompressible flows, and Israel-Stewart theory with shear-heat coupling is shown to reproduce the resulting non-Newtonia...
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Effective field theory of quasi-hydrodynamics from kinetic theory
Linear quasi-hydrodynamics from any causal kinetic-like theory reduces, at leading order in the fast timescale, to transient hydrodynamics (Israel-Stewart or Cattaneo), with systematic higher-order corrections.
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Bulk viscosity and $n$-component fluids
A general framework for n-component bulk viscosity in second-order hydrodynamics, with transport coefficients expressed as matrix invariants and a Green's function that decomposes into n Israel-Stewart modes.
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Noncovariant parabolic theories of relativistic diffusion
A quantitative analysis shows that observer-dependent effects in a new relativistic diffusion theory scale like the square root of time, slower than standard truncation errors, yet remain finite as speeds approach light.
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