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arXiv · 2506.19786

Perfect spinfluid: A divergence-type approach

Nick Abboud·Lorenzo Gavassino·Rajeev Singh·Enrico Speranza
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Abstract

We present a new formulation of non-dissipative relativistic spin hydrodynamics that incorporates spin degrees of freedom into the divergence-type theory framework. Due to the divergence-type structure, it is straightforward to enforce non-linear causality and symmetric hyperbolicity of the equations of motion, ensuring local well-posedness of the initial-value problem and stability of the theory. Furthermore, in a specific realization based on spin kinetic theory, we prove that the equations of motion remain non-linearly causal and symmetric-hyperbolic to all orders in the spin potential, provided a specific thermodynamic constraint is satisfied. This framework can be applied for numerical simulations to study the dynamics of spin-polarized fluids, such as the quark-gluon plasma in heavy-ion collisions.

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Nick Abboud, Lorenzo Gavassino, Rajeev Singh, Enrico Speranza. 2025-11-24. Perfect spinfluid: A divergence-type approach. https://doi.org/10.1103/bngt-lbdv

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