A stable and causal model of magnetohydrodynamics
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A stable and causal model of magnetohydrodynamics. / Armas, Jay; Camilloni, Filippo.
In: Journal of Cosmology and Astroparticle Physics, Vol. 2022, No. 10, 039, 10.2022.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - A stable and causal model of magnetohydrodynamics
AU - Armas, Jay
AU - Camilloni, Filippo
PY - 2022/10
Y1 - 2022/10
N2 - We formulate the theory of first-order dissipative magnetohydrodynamics in an arbitrary hydrodynamic frame under the assumption of parity-invariance and discrete charge symmetry. We study the mode spectrum of Alfven and magnetosonic waves as well as the spectrum of gapped excitations and derive constraints on the transport coefficients such that generic equilibrium states with constant magnetic fields are stable and causal under linearised perturbations. We solve these constraints for a specific equation of state and show that there exists a large family of hydrodynamic frames that renders the linear fluctuations stable and causal. This theory does not require introducing new dynamical degrees of freedom and therefore is a promising and simpler alternative to Muller-Israel-Stewart-type theories. Together with a detailed analysis of transport, entropy production and Kubo formulae, the theory presented here is well suited for studying dissipative effects in various contexts ranging from heavy-ion collisions to astrophysics.
AB - We formulate the theory of first-order dissipative magnetohydrodynamics in an arbitrary hydrodynamic frame under the assumption of parity-invariance and discrete charge symmetry. We study the mode spectrum of Alfven and magnetosonic waves as well as the spectrum of gapped excitations and derive constraints on the transport coefficients such that generic equilibrium states with constant magnetic fields are stable and causal under linearised perturbations. We solve these constraints for a specific equation of state and show that there exists a large family of hydrodynamic frames that renders the linear fluctuations stable and causal. This theory does not require introducing new dynamical degrees of freedom and therefore is a promising and simpler alternative to Muller-Israel-Stewart-type theories. Together with a detailed analysis of transport, entropy production and Kubo formulae, the theory presented here is well suited for studying dissipative effects in various contexts ranging from heavy-ion collisions to astrophysics.
KW - Magnetohydrodynamics
KW - astrophysical fluid dynamics
KW - MAGNETIC-FIELDS
KW - THERMODYNAMICS
KW - NONSTATIONARY
KW - WAVES
U2 - 10.1088/1475-7516/2022/10/039
DO - 10.1088/1475-7516/2022/10/039
M3 - Journal article
VL - 2022
JO - Journal of Cosmology and Astroparticle Physics
JF - Journal of Cosmology and Astroparticle Physics
SN - 1475-7516
IS - 10
M1 - 039
ER -
ID: 338057137