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Researchers have developed a new mathematical model to simulate relativistic plasmas near black holes and neutron stars that accounts for complex non-ideal behaviors like anisotropic pressures and heat flows. The model uses a 14-moment two-fluid system derived from relativistic kinetic theory, allowing it to capture the behavior of collisionless and weakly collisional plasmas more accurately than previous simplified approaches. This formulation maintains separate evolution equations for electron temperature and momentum while treating the plasma as electromagnetic fields coupled to a fluid with out-of-equilibrium corrections.
Why it matters
This modeling framework could significantly improve simulations of astrophysical phenomena around compact objects, including black hole accretion, relativistic jets, and neutron star mergers. Better understanding these extreme plasma environments is crucial for interpreting observations of relativistic transients and high-energy astrophysical events.
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⚠️ Preprint – Noch nicht peer-reviewed
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Abstract: Relativistic plasmas are central to the study of black hole accretion, jet physics, neutron star mergers, and compact object magnetospheres. Despite the need to accurately capture the dynamics of these plasmas and the implications for relativistic transients, their fluid modeling is typically done using a number of (overly) simplifying assumptions, which do not hold in general. This is especially true when the mean free path in the plasma is large compared to the system size, and kinetic effects start to become important. Going beyond common approaches used in the literature, we describe a fully relativistic covariant 14-moment based two-fluid system appropriate for the study of electron-ion or electron-positron plasmas. This generalized Israel-Stewart-like system of equations of motion is obtained directly from the relativistic Boltzmann-Vlasov equation. Crucially, this new formulation can account for non-ideal effects, such as anisotropic pressures and heat fluxes. We show that a relativistic two-fluid plasma can be recast as a single fluid coupled to electromagnetic fields with (potentially large) out-of-equilibrium corrections. In particular, we keep all electron degrees of freedom, which provide self-consistent evolution equations for electron temperature and momentum. The equations outlined in this paper are able to capture the full two-fluid character of collisionless plasmas found in black hole accretion and flaring processes around compact objects, as well Braginskii-like two-fluid magnetohydrodynamics applicable to weakly collisional plasmas inside accretion disks. This new formulation will be instrumental in the construction of a large class of next-generation simulations of relativistic transient phenomena produced around black holes and neutron stars.