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Using a modified WKB approach, we present a rigorous semi-classical analysis for solutions of nonlinear Schroedinger equations with rotational forcing. This yields a rigorous justification for the hydrodynamical system of rotating…

Analysis of PDEs · Mathematics 2010-09-03 Hailiang Liu , Christof Sparber

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

The strongly interacting system created in ultrarelativistic nuclear collisions behaves almost as an ideal fluid with rich patterns of the velocity field exhibiting strong vortical structure. Vorticity of the fluid, via spin-orbit coupling,…

Nuclear Experiment · Physics 2024-10-30 Takafumi Niida , Sergei A. Voloshin

We explore a new action formulation of hyperfluids, fluids with intrinsic hypermomentum. Brown's Lagrangian for a relativistic perfect fluid is generalised by incorporating the degrees of freedom encoded in the hypermomentum tensor, namely…

General Relativity and Quantum Cosmology · Physics 2024-04-12 Damianos Iosifidis , Tomi S. Koivisto

We present a new complete set of Lagrangian relativistic hydrodynamical equations describing the transfer of energy and momentum between a standard fluid and a radiation fluid in a general non-stationary spherical flow. The new set of…

Astrophysics · Physics 2010-04-06 Luciano Rezzolla , John C. Miller

In this work we provide analytic and numerical solutions for the Bjorken flow, a standard benchmark in relativistic hydrodynamics providing a simple model for the bulk evolution of matter created in collisions between heavy nuclei. We…

Nuclear Theory · Physics 2025-02-27 Daniele Simeoni , Alessandro Gabbana , Sauro Succi

We study the evolution of the Knudsen and Reynolds numbers in (0+1)-dimensionally expanding fluids with Bjorken symmetry for systems whose microscopic mean free path rises more quickly with time than usually assumed. This allows us to…

Nuclear Theory · Physics 2019-12-20 Chandrodoy Chattopadhyay , Ulrich W. Heinz

Standard textbooks will state that hydrodynamics requires near-equilibrium to be applicable. Recently, however, out-of-equilibrium attractor solutions for hydrodynamics have been found in kinetic theory and holography in systems with a high…

High Energy Physics - Theory · Physics 2018-01-19 Paul Romatschke

The variational principle for the special and general relativistic hydrodynamics are discussed in view of its application to obtain approximate solutions to these problems. We show that effective Lagrangians can be obtained for suitable…

High Energy Physics - Phenomenology · Physics 2016-08-15 Hans-Thomas Elze , Yogiro Hama , Takeshi Kodama , Martín Makler , Johann Rafelski

We derive the special and general relativistic hydrodynamic equations of motion for ideal fluids from a variational principle. Our approach allows to find approximate solutions, whenever physically motivated trial functions can be used.…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. -Th. Elze , T. Kodama , Y. Hama , M. Makler , J. Rafelski

A new effective theory framework for fluctuating hydrodynamics in the relativistic regime is derived using standard thermodynamical principles and general properties of non-equilibrium stochastic dynamics. For the first time, we establish…

Nuclear Theory · Physics 2025-01-09 Nicki Mullins , Mauricio Hippert , Jorge Noronha

We study the causality and stability of relativistic hydrodynamics with the inclusion of the spin degree of freedom as a hydrodynamic field. We consider two specific models of spin-hydrodynamics for this purpose. A linear mode analysis for…

Nuclear Theory · Physics 2023-03-27 Golam Sarwar , Md Hasanujjaman , Jitesh R. Bhatt , Hiranmaya Mishra , Jan-e Alam

I review recent and not so recent progress on formulating and numerically implementing a consistent set of relativistic equations which describe the space-time evolution of viscous relativistic fluids without violating causality.

Nuclear Theory · Physics 2007-05-23 Ulrich W. Heinz

A number of astrophysical scenarios possess and preserve an overall cylindrical symmetry also when undergoing a catastrophic and nonlinear evolution. Exploiting such a symmetry, these processes can be studied through numerical-relativity…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Thorsten Kellermann , Luca Baiotti , Bruno Giacomazzo , Luciano Rezzolla

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

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 investigate the dynamics of spin-nonequilibrium electron systems for the case when normal electron collisions prevail over the other scattering processes and the "hydrodynamic flow" regime is realized. The hydrodynamic equations for the…

Mesoscale and Nanoscale Physics · Physics 2011-09-12 R. N. Gurzhi , A. N. Kalinenko , A. I. Kopeliovich , P. V. Pyshkin , A. V. Yanovsky

A general organizing principle is proposed that can be used to derive the equations of motion describing the near-equilibrium dynamics of causal and thermodynamically stable relativistic systems. The latter are found to display some new…

Nuclear Theory · Physics 2024-06-04 Lorenzo Gavassino , Marcelo M. Disconzi , Jorge Noronha

A new class of accelerating, exact, explicit and simple solutions of relativistic hydrodynamics is presented. Since these new solutions yield a finite rapidity distribution, they lead to an advanced estimate of the initial energy density…

Nuclear Theory · Physics 2011-08-04 T. Csorgo , M. I. Nagy , M. Csanad

We review the calculation of polarization in a relativistic fluid within the framework of statistical quantum field theory. We derive the expressions of the spin density matrix and the mean spin vector both for a single quantum relativistic…

High Energy Physics - Theory · Physics 2023-07-31 F. Becattini