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Exact solution of Boltzmann equation in a longitudinal expanding system
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Exact solution of Boltzmann equation in a longitudinal expanding system
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Analytical solutions to the microscopic Boltzmann equation are useful in testing the applicability and accuracy of macroscopic hydrodynamic theory. In this work, we present exact solutions of the relativistic Boltzmann equation, based on a new family of exact solutions of the relativistic ideal hydrodynamic equations [Phys. Rev. C 105, L021902].. To the best of our knowledge, this is the first exact solution that allows longitudinal expansion with broken boost invariance.
Forward citations
Cited by 3 Pith papers
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Modeling $\Lambda$ polarization in Au$+$Au collisions at $\sqrt{s_{\rm NN}}=200$ GeV using relativistic spin hydrodynamics
A (1+1+2)D relativistic spin hydrodynamics model with transverse expansion and longitudinal spin acceleration reproduces the observed quadrupole pattern in longitudinal Lambda polarization for Au+Au collisions at 200 GeV.
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Maximally Symmetric Boost-Invariant Solutions of the Boltzmann Equation in Foliated Geometries
A unified exact boost-invariant solution of the relativistic Boltzmann equation is derived for flat, spherical, and hyperbolic foliations of dS3 x R, yielding the new Grozdanov flow on the hyperbolic slicing.
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Modeling $\Lambda$ polarization in Au$+$Au collisions at $\sqrt{s_{\rm NN}}=200$ GeV using relativistic spin hydrodynamics
A (1+1+2)D spin hydrodynamics model with longitudinal spin acceleration and transverse expansion reproduces the quadrupole pattern in longitudinal Lambda polarization and matches Au+Au data at 200 GeV while predicting...
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