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Strong magnetic fields generated in non-central ultrarelativistic heavy-ion collisions can potentially modify the dissipative dynamics of the quark–gluon plasma, demanding a causal and stable formulation of relativistic magnetohydrodynamics (RMHD) beyond standard Israel–Stewart theory. In this contribution, we present recent progress in deriving a second-order RMHD framework for a locally neutral, ultrarelativistic two-component plasma directly from the Boltzmann–Vlasov equation.
We show that magnetic fields induce qualitative modifications to dissipative dynamics that go well beyond the mere appearance of anisotropic transport coefficients. In particular, the dissipative currents no longer relaxes as a single collective degree of freedom, but instead splits into dynamically inequivalent components associated with directions parallel and transverse to the magnetic field [1]. As a consequence, the transient approach to equilibrium can display oscillatory behavior in the strong-field regime, a feature that cannot be captured within conventional Israel–Stewart–type theories. We further demonstrate that the resulting RMHD formulation is linearly causal and stable around global equilibrium [2], providing an essential validation of the framework.
[1] K. Kushwah and G. Denicol, PRD 109 (2024) no.9, 096021.
[2] C. V. P. de Brito, K. Kushwah and G. Denicol, PRD 112 (2025) no.7, 076035.
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