Hydrodynamics of spin currents
Angel Domingo Gallegos, Umut Gürsoy, Amos Yarom
Abstract
We study relativistic hydrodynamics in the presence of a non vanishing spin potential. Using a variety of techniques we carry out an exhaustive analysis, and identify the constitutive relations for the stress tensor and spin current in such a setup, allowing us to write the hydrodynamic equations of motion to second order in derivatives. We then solve the equations of motion in a certain dynamical spin limit and in a perturbative setup and find surprisingly good agreement with measurements of global \Lambda <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi>Λ</mml:mi> </mml:math> -hyperon polarization carried out at RHIC.
Topics & Concepts
PhysicsCauchy stress tensorLambdaEquations of motionPolarization (electrochemistry)Spin (aerodynamics)Variety (cybernetics)Tensor (intrinsic definition)Spin polarizationHyperonClassical mechanicsParticle physicsNuclear physicsBaryonQuantum mechanicsComputer scienceThermodynamicsMathematicsGeometryChemistryElectronPhysical chemistryArtificial intelligenceHigh-Energy Particle Collisions ResearchSuperconducting Materials and ApplicationsParticle physics theoretical and experimental studies