Built on

J. Zhao and F. Wang, Experimental searches for the chiral magnetic effect in heavy-ion collisions , Prog. Part. Nucl. Phys. 107
Original
1906
Earlier work this paper cites.
F. S. Bemfica, M. M. Disconzi and J. Noronha, Nonlinear Causality of General First-Order Relativistic Viscous Hydrodynamics , Phys. Rev. D 100
Original
1907
Earlier work this paper cites.
P. Kovtun, First-order relativistic hydrodynamics is stable , JHEP 10
Original
1907
Earlier work this paper cites.
N. Poovuttikul and W. Sybesma, First order non-Lorentzian fluids, entropy production and linear instabilities , Phys. Rev. D 102
Original
1911
Earlier work this paper cites.
B. Benenowski and N. Poovuttikul, Classification of magnetohydrodynamic transport at strong magnetic field , 1911.05554
Original
1911
Earlier work this paper cites.
C. Eckart, The thermodynamics of irreversible processes. iii. relativistic theory of the simple fluid , Phys. Rev. 58
1940
Earlier work this paper cites.
I. Muller, Zum Paradoxon der Warmeleitungstheorie , Z. Phys. 198
1967
Earlier work this paper cites.
W. Israel, Nonstationary irreversible thermodynamics: A Causal relativistic theory , Annals Phys. 100
1976
Earlier work this paper cites.
W. Israel and J. Stewart, Thermodynamics of nonstationary and transient effects in a relativistic gas , Physics Letters A 58
1976
Earlier work this paper cites.
E. Krotscheck and W. Kundt, Causality criteria , Communications in Mathematical Physics 60
1978
Earlier work this paper cites.
W. Israel and J. M. Stewart, Transient relativistic thermodynamics and kinetic theory , Annals Phys. 118
1979
Earlier work this paper cites.
W. A. Hiscock and L. Lindblom, Generic instabilities in first-order dissipative relativistic fluid theories , Phys. Rev. D 31
1985
Earlier work this paper cites.
Pergamon Press, 1987
L. LANDAU and E. LIFSHITZ, FLUID MECHANICS: COURSE OF THEORETICAL PHYSICS VOLUME 6 · 1987
Earlier work this paper cites.
W. A. Hiscock and L. Lindblom, Linear plane waves in dissipative relativistic fluids , Phys. Rev. D 35
1987
Earlier work this paper cites.
Cambridge Monographs on Mathematical Physics. Cambridge University Press, 1990, 10.1017/CBO9780511564130
A. M. Anile, Relativistic Fluids and Magneto-fluids: With Applications in Astrophysics and Plasma Physics · 1990
Earlier work this paper cites.

Similar

A. Brandenburg, K. Enqvist and P. Olesen, Large scale magnetic fields from hydromagnetic turbulence in the very early universe , Phys. Rev. D 54
1996
Cited alongside, same era.
Dolag, K., Bartelmann, M. and Lesch, H., Evolution and structure of magnetic fields in simulated galaxy clusters , A&A 387
2002
Cited alongside, same era.
R. E. Hoult and P. Kovtun, Stable and causal relativistic Navier-Stokes equations , JHEP 06
Original
2004
Cited alongside, same era.
R. Biswas, A. Dash, N. Haque, S. Pu and V. Roy, Causality and stability in relativistic viscous non-resistive magneto-fluid dynamics , JHEP 10
Original
2007
Cited alongside, same era.
M. M. Disconzi, V. Hoang and M. Radosz, Breakdown of smooth solutions to the Müller-Israel-Stewart equations of relativistic viscous fluids , 2008.03841
Original

Then

J. Hernandez and P. Kovtun, Relativistic magnetohydrodynamics , JHEP 05
Original
2017
Later among the works it cites.
I. Rogachevskii, O. Ruchayskiy, A. Boyarsky, J. Fröhlich, N. Kleeorin, A. Brandenburg et al., Laminar and turbulent dynamos in chiral magnetohydrodynamics-I: Theory , Astrophys. J. 846
Original
2017
Later among the works it cites.
J. Armas, J. Gath, A. Jain and A. V. Pedersen, Dissipative hydrodynamics with higher-form symmetry , JHEP 05
Original
2018
Later among the works it cites.
F. S. Bemfica, M. M. Disconzi and J. Noronha, Causality and existence of solutions of relativistic viscous fluid dynamics with gravity , Phys. Rev. D 98
Original
2018
Later among the works it cites.
G. S. Denicol, X.-G. Huang, E. Molnár, G. M. Monteiro, H. Niemi, J. Noronha et al., Nonresistive dissipative magnetohydrodynamics from the Boltzmann equation in the 14-moment approximation , Phys. Rev. D 98

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2022

A stable and causal model of magnetohydrodynamics

Armas, Jay, Camilloni, Filippo

Understand

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 Alfv\'en 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 M\"{u}ller-Israel-Stewart-type theories.

Built on

J. Zhao and F. Wang, Experimental searches for the chiral magnetic effect in heavy-ion collisions , Prog. Part. Nucl. Phys. 107
Original
1906
Earlier work this paper cites.
F. S. Bemfica, M. M. Disconzi and J. Noronha, Nonlinear Causality of General First-Order Relativistic Viscous Hydrodynamics , Phys. Rev. D 100
Original
1907
Earlier work this paper cites.
P. Kovtun, First-order relativistic hydrodynamics is stable , JHEP 10
Original
1907
Earlier work this paper cites.
N. Poovuttikul and W. Sybesma, First order non-Lorentzian fluids, entropy production and linear instabilities , Phys. Rev. D 102
Original
1911
Earlier work this paper cites.
B. Benenowski and N. Poovuttikul, Classification of magnetohydrodynamic transport at strong magnetic field , 1911.05554
Original
1911
Earlier work this paper cites.
C. Eckart, The thermodynamics of irreversible processes. iii. relativistic theory of the simple fluid , Phys. Rev. 58
1940
Earlier work this paper cites.
I. Muller, Zum Paradoxon der Warmeleitungstheorie , Z. Phys. 198
1967
Earlier work this paper cites.
W. Israel, Nonstationary irreversible thermodynamics: A Causal relativistic theory , Annals Phys. 100
1976
Earlier work this paper cites.
W. Israel and J. Stewart, Thermodynamics of nonstationary and transient effects in a relativistic gas , Physics Letters A 58
1976
Earlier work this paper cites.
E. Krotscheck and W. Kundt, Causality criteria , Communications in Mathematical Physics 60
1978
Earlier work this paper cites.
W. Israel and J. M. Stewart, Transient relativistic thermodynamics and kinetic theory , Annals Phys. 118
1979
Earlier work this paper cites.
W. A. Hiscock and L. Lindblom, Generic instabilities in first-order dissipative relativistic fluid theories , Phys. Rev. D 31
1985
Earlier work this paper cites.
Pergamon Press, 1987
L. LANDAU and E. LIFSHITZ, FLUID MECHANICS: COURSE OF THEORETICAL PHYSICS VOLUME 6 · 1987
Earlier work this paper cites.
W. A. Hiscock and L. Lindblom, Linear plane waves in dissipative relativistic fluids , Phys. Rev. D 35
1987
Earlier work this paper cites.
Cambridge Monographs on Mathematical Physics. Cambridge University Press, 1990, 10.1017/CBO9780511564130
A. M. Anile, Relativistic Fluids and Magneto-fluids: With Applications in Astrophysics and Plasma Physics · 1990
Earlier work this paper cites.

Similar

A. Brandenburg, K. Enqvist and P. Olesen, Large scale magnetic fields from hydromagnetic turbulence in the very early universe , Phys. Rev. D 54
1996
Cited alongside, same era.
Dolag, K., Bartelmann, M. and Lesch, H., Evolution and structure of magnetic fields in simulated galaxy clusters , A&A 387
2002
Cited alongside, same era.
R. E. Hoult and P. Kovtun, Stable and causal relativistic Navier-Stokes equations , JHEP 06
Original
2004
Cited alongside, same era.
R. Biswas, A. Dash, N. Haque, S. Pu and V. Roy, Causality and stability in relativistic viscous non-resistive magneto-fluid dynamics , JHEP 10
Original
2007
Cited alongside, same era.
M. M. Disconzi, V. Hoang and M. Radosz, Breakdown of smooth solutions to the Müller-Israel-Stewart equations of relativistic viscous fluids , 2008.03841
Original

Then

J. Hernandez and P. Kovtun, Relativistic magnetohydrodynamics , JHEP 05
Original
2017
Later among the works it cites.
I. Rogachevskii, O. Ruchayskiy, A. Boyarsky, J. Fröhlich, N. Kleeorin, A. Brandenburg et al., Laminar and turbulent dynamos in chiral magnetohydrodynamics-I: Theory , Astrophys. J. 846
Original
2017
Later among the works it cites.
J. Armas, J. Gath, A. Jain and A. V. Pedersen, Dissipative hydrodynamics with higher-form symmetry , JHEP 05
Original
2018
Later among the works it cites.
F. S. Bemfica, M. M. Disconzi and J. Noronha, Causality and existence of solutions of relativistic viscous fluid dynamics with gravity , Phys. Rev. D 98
Original
2018
Later among the works it cites.
G. S. Denicol, X.-G. Huang, E. Molnár, G. M. Monteiro, H. Niemi, J. Noronha et al., Nonresistive dissipative magnetohydrodynamics from the Boltzmann equation in the 14-moment approximation , Phys. Rev. D 98

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

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2008

Cited alongside, same era.

F. S. Bemfica, M. M. Disconzi and J. Noronha, General-Relativistic Viscous Fluid Dynamics , 2009.11388

Original

2009

Cited alongside, same era.

J. Armas and A. Jain, Effective field theory for hydrodynamics without boosts , 2010.15782

Original

2010

Cited alongside, same era.

M. A. Abramowicz and P. C. Fragile, Foundations of Black Hole Accretion Disk Theory , Living Rev. Rel. 16

Original

2013

Cited alongside, same era.

U. Gursoy, D. Kharzeev and K. Rajagopal, Magnetohydrodynamics, charged currents and directed flow in heavy ion collisions , Phys. Rev. C 89

Original

2014

Cited alongside, same era.

D. Schubring, Dissipative String Fluids , Phys. Rev. D 91

Original

2015

Cited alongside, same era.

D. Gaiotto, A. Kapustin, N. Seiberg and B. Willett, Generalized Global Symmetries , JHEP 02

Original

2015

Cited alongside, same era.

M. A. Prieto, J. A. Fernández-Ontiveros, S. Markoff, D. Espada and O. González-Martín, The central parsecs of M87: jet emission and an elusive accretion disc , Monthly Notices of the Royal Astronomical Society 457

2016

Cited alongside, same era.

Original

2018