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Related papers: Late-time attractors in relativistic spin hydrodyn…

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We have investigated the late-time asymptotic solutions, attractor, and focusing behavior of minimal causal spin hydrodynamics in Bjorken expansion. Using the method of dominant balance, we derive the late-time asymptotic solutions of the…

High Energy Physics - Phenomenology · Physics 2024-08-08 Dong-Lin Wang , Li Yan , Shi Pu

We investigate the attractor of spin density in relativistic spin hydrodynamics using Zubarev's non-equilibrium statistical operator formalism in the spin probe limit. We derive the (0+1)D Bjorken flow equations and the associated attractor…

High Energy Physics - Phenomenology · Physics 2026-05-27 Qi Zhou , Duan She , Ben-Wei Zhang , Enke Wang

We have derived the analytic solutions of dissipative relativistic spin hydrodynamics with Gubser expansion. Following the standard strategy of deriving the solutions in a Gubser flow, we take the Weyl rescaling and obtain the…

High Energy Physics - Phenomenology · Physics 2022-10-12 Dong-Lin Wang , Xin-Qing Xie , Shuo Fang , Shi Pu

We derive relativistic hydrodynamic equations with a dynamical spin degree of freedom on the basis of an entropy-current analysis. The first and second laws of local thermodynamics constrain possible structures of the constitutive relations…

High Energy Physics - Theory · Physics 2019-07-03 Koichi Hattori , Masaru Hongo , Xu-Guang Huang , Mamoru Matsuo , Hidetoshi Taya

Using the second law of local thermodynamics and the first-order Palatini formalism, we formulate relativistic spin hydrodynamics for quantum field theories with Dirac fermions, such as QED and QCD, in a torsionful curved background. We…

High Energy Physics - Theory · Physics 2022-01-19 Masaru Hongo , Xu-Guang Huang , Matthias Kaminski , Mikhail Stephanov , Ho-Ung Yee

Perturbative expansions, such as the well-known gradient series and the recently proposed slow-roll expansion, have been recently used to investigate the emergence of hydrodynamic behavior in systems undergoing Bjorken flow. In this paper…

Nuclear Theory · Physics 2019-06-19 Gabriel Denicol , Jorge Noronha

We obtain general analytical solutions of third-order viscous hydrodynamic equations for Bjorken and Gubser flows in systems with vanishing bulk viscosity and chemical potential, and having a constant shear relaxation time. We also…

Nuclear Theory · Physics 2019-02-20 Chandrodoy Chattopadhyay , Amaresh Jaiswal , Sunil Jaiswal , Subrata Pal

We have studied analytically the longitudinally boost-invariant motion of a relativistic dissipative fluid with spin. We have derived the analytic solutions of spin density and spin chemical potential as a function of proper time $\tau$ in…

Nuclear Theory · Physics 2022-01-12 Dong-Lin Wang , Shuo Fang , Shi Pu

We study relativistic spin hydrodynamics on the hyperbolic $\kappa=-1$ flow background recently identified by Grozdanov. This background corresponds to an $SO(2,1)$-invariant, transversely expanding solution with finite spacetime support in…

Nuclear Theory · Physics 2026-03-04 Rajeev Singh , Alexander Soloviev

Gubser flow is an axis-symmetric and boost-invariant evolution in a relativistic quantum field theory which is best studied by mapping $\mathbf{R}^{3,1}$ to $dS_{3}\times \mathbf{R}$ when the field theory has conformal symmetry. We show…

High Energy Physics - Theory · Physics 2024-06-12 Avik Banerjee , Toshali Mitra , Ayan Mukhopadhyay , Alexander Soloviev

The Boltzmann equation is solved in the relaxation time approximation using a hierarchy of angular moments of the distribution function. Our solution is obtained for an azimuthally symmetric radially expanding boost-invariant conformal…

Nuclear Theory · Physics 2020-06-24 Ashutosh Dash , Victor Roy

We derive relativistic dissipative spin hydrodynamics from kinetic theory featuring a nonlocal collision term using the method of moments. In this framework, the components of the spin tensor are dynamical variables which obey…

Nuclear Theory · Physics 2022-11-23 Nora Weickgenannt , David Wagner , Enrico Speranza , Dirk H. Rischke

The primary objective of this thesis is to develop a consistent theoretical framework of dissipative hydrodynamics for a relativistic fluid with spin - hereafter referred to as relativistic dissipative spin hydrodynamics. In this framework,…

High Energy Physics - Phenomenology · Physics 2025-12-25 Asaad Daher

Non-conformal attractor behavior is studied by solving non-conformal second order viscous hydrodynamics with respect to boost-invariant plasmas. Numerical solutions of the relative decay rate of the enthalpy density, the inverse shear and…

Nuclear Theory · Physics 2022-03-14 Zenan Chen , Li Yan

In this work we describe the dynamics of a highly anisotropic system undergoing boost-invariant longitudinal and azimuthally symmetric radial expansion (Gubser flow) for arbitrary shear viscosity to entropy density ratio. We derive the…

Nuclear Theory · Physics 2018-03-14 M. Martinez , M. McNelis , U. Heinz

We find the general analytical solution of the viscous relativistic hydrodynamic equations (in the absence of bulk viscosity and chemical potential) for a Bjorken expanding fluid with a constant shear viscosity relaxation time. We…

Nuclear Theory · Physics 2018-04-04 Gabriel S. Denicol , Jorge Noronha

We formulate a relativistic hydrodynamic theory for fluids with spin and intrinsic dilation charges. Using an entropy-current analysis, we derive constitutive relations featuring a bulk viscosity and a dilation conductivity governing the…

High Energy Physics - Theory · Physics 2026-03-19 Zhong-Hua Zhang , Xi-Hu Lv , Xu-Guang Huang

We discuss the non-equilibrium attractors of systems undergoing Gubser flow within kinetic theory by means of nonlinear dynamical systems. We obtain the attractors of anisotropic hydrodynamics, Israel-Stewart (IS) and transient fluid (DNMR)…

High Energy Physics - Theory · Physics 2018-07-27 Nikolás Cruz-Camacho , Mauricio Martinez

We explore various aspects of semi-classical spin hydrodynamics, where hydrodynamic currents are derived from an expansion in the reduced Planck constant $\hbar$, incorporating both flat and curved spacetimes. After establishing covariant…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Annamaria Chiarini , Julia Sammet , Masoud Shokri

We determine the behavior of an out-of-equilibrium superfluid, composed of a $U(1)$ Goldstone mode coupled to hydrodynamic modes in a M\" uller-Israel-Stewart theory, in expanding backgrounds relevant to heavy ion collision experiments and…

High Energy Physics - Phenomenology · Physics 2026-05-21 Guri K. Buza , Toshali Mitra , Alexander Soloviev
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