Relativistic magnetohydrodynamics with spin

Singh, Rajeev; Shokri, Masoud; Mehr, S. M. A. Tabatabaee

doi:10.48550/arxiv.2202.11504

Cited by 4 publications

(4 citation statements)

References 56 publications

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“…When dynamical EM fields are present, it is worth looking into how we can unify the frameworks of spin hydrodynamics and RMHD and clarify the resulting new phenomena in such a unified formulation (see recent attempts in Refs. [281,282] and also in Ref. [283] and references therein for non-relativistic cases).…”

Section: Conclusion and Future Prospectsmentioning

confidence: 87%

New Developments in Relativistic Magnetohydrodynamics

2022

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Relativistic magnetohydrodynamics (RMHD) provides an extremely useful description of the low-energy long-wavelength phenomena in a variety of physical systems from quark–gluon plasma in heavy-ion collisions to matters in supernova, compact stars, and early universe. We review the recent theoretical progresses of RMHD, such as a formulation of RMHD from the perspective of magnetic flux conservation using the entropy–current analysis, the nonequilibrium statistical operator approach applied to quantum electrodynamics, and the relativistic kinetic theory. We discuss how the transport coefficients in RMHD are computed in kinetic theory and perturbative quantum field theories. We also explore the collective modes and instabilities in RMHD with a special emphasis on the role of chirality in a parity-odd plasma. We also give some future prospects of RMHD, including the interaction with spin hydrodynamics and the new kinetic framework with magnetic flux conservation.

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Section: Conclusion and Future Prospectsmentioning

confidence: 87%

New Developments in Relativistic Magnetohydrodynamics

2022

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“…When dynamical EM fields are present, it is worth looking into how we can unify the frameworks of spin hydrodynamics and RMHD and clarify the resulting new phenomena in such a unified formulation (see recent attempts in Refs. [279,280] and also in Ref. [281] and references therein for non-relativistic cases).…”

Section: Summary and Future Prospectsmentioning

confidence: 87%

New developments in relativistic magnetohydrodynamics

Hattori¹,

Hongo²,

Huang³

2022

Preprint

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Relativistic magnetohydrodynamics (RMHD) provides an extremely useful description of the low-energy long-wavelength phenomena in a variety of physical systems from quark-gluon plasma in heavy-ion collisions to matters in supernova, compact stars, and early universe. We review the recent theoretical progresses of RMHD, such as a formulation of RMHD from the perspective of magnetic flux conservation using the entropy-current analysis, the nonequilibrium statistical operator approach applied to quantum electrodynamics, and the relativistic kinetic theory. We discuss how the transport coefficients in RMHD are computed in kinetic theory and perturbative quantum field theories. We also explore the collective modes and instabilities in RMHD with a special emphasis on the role of chirality in a parity-odd plasma. We also give some future prospects of RMHD, including the interaction with spin hydrodynamics and the new kinetic framework with magnetic flux conservation.

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“…[16] and further developed in Refs. [17][18][19][20][21][22][23][24][25][26]; for reviews see Refs. [27,28].…”

Section: Introductionmentioning

confidence: 99%

Semi-classical kinetic theory for massive spin-half fermions with leading-order spin effects

Das¹,

Florkowski²,

Kumar³

et al. 2022

Preprint

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We consider the quantum kinetic-theory description for interacting massive spin-half fermions using the Wigner function formalism. We derive general collision kernel involving local as well as nonlocal collisions between particles assuming that the spin effects can have both classical and quantum origins. To track the effect of such different contributions we use the semi-classical expansion method to obtain the generalized kinetic equations with spin. Employing the ansatz for the equilibrium distribution function we derive global equilibrium conditions, assuming the total angular momentum is conserved in the microscopic collisions.

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Relativistic magnetohydrodynamics with spin

Cited by 4 publications

References 56 publications

New Developments in Relativistic Magnetohydrodynamics

New Developments in Relativistic Magnetohydrodynamics

New developments in relativistic magnetohydrodynamics

Semi-classical kinetic theory for massive spin-half fermions with leading-order spin effects

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