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Main Authors: Abboud, Nick, Gavassino, Lorenzo, Singh, Rajeev, Speranza, Enrico
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2506.19786
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author Abboud, Nick
Gavassino, Lorenzo
Singh, Rajeev
Speranza, Enrico
author_facet Abboud, Nick
Gavassino, Lorenzo
Singh, Rajeev
Speranza, Enrico
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2506_19786
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Perfect spinfluid: A divergence-type approach
Abboud, Nick
Gavassino, Lorenzo
Singh, Rajeev
Speranza, Enrico
Nuclear Theory
High Energy Physics - Phenomenology
High Energy Physics - Theory
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.
title Perfect spinfluid: A divergence-type approach
topic Nuclear Theory
High Energy Physics - Phenomenology
High Energy Physics - Theory
url https://arxiv.org/abs/2506.19786