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We develop a (3+1)-dimensional hybrid evolution model for heavy-ion collisions with dynamical sources for the energy-momentum tensor and baryon current. During an initial pre-equilibrium stage based on UrQMD, the four-momenta and baryon…

Nuclear Theory · Physics 2019-01-23 Lipei Du , Ulrich Heinz , Gojko Vujanovic

The relativistic method of moments is one of the most successful approaches to extract second order viscous hydrodynamics from a kinetic underlying background. The equations can be systematically improved to higher order, and they have…

Nuclear Theory · Physics 2019-02-20 L Tinti , G Vujanovic , J Noronha , U Heinz

The characteristic decomposition for GRMHD is not known in a form useful for current numerical simulations. This prevents us from using the most accurate known computational methods, such as full-wave Riemann solvers. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Saul A. Teukolsky

We search for non-trivial relativistic solutions of the hydrodynamic equations with quasi-inertial flows such as in the Bjorken-like models. The problem is analyzed in general and the known results are reproduced by a method proposed. A new…

Nuclear Theory · Physics 2007-05-23 Yu. M. Sinyukov , Iu. A. Karpenko

We revisit the general analytic solution space for relativistic $(1+1)$-dimensional hydrodynamics for a perfect fluid flowing along the longitudinal direction. We work out the explicit one-parameter family of interpolating flows between…

High Energy Physics - Theory · Physics 2025-08-12 Aritra Banerjee , Abir Ghosh

The formulation of a universal theory for bulk viscosity and heat conduction represents a theoretical challenge for our understanding of relativistic fluid dynamics. Recently, it has been shown that the multifluid variational approach…

General Relativity and Quantum Cosmology · Physics 2020-10-15 Lorenzo Gavassino , Marco Antonelli , Brynmor Haskell

Anisotropic hydrodynamics is a reorganization of the relativistic hydrodynamics expansion, with the leading order already containing substantial momentum-space anisotropies. The latter are a cause of concern in the traditional viscous…

High Energy Physics - Phenomenology · Physics 2015-06-11 Leonardo Tinti

In this work I develop a new framework for anisotropic hydrodynamics that generalizes the leading order of the hydrodynamic expansion to the full (3+1)-dimensional anisotropic massive case. Following previous works, my considerations are…

Nuclear Theory · Physics 2015-07-29 Leonardo Tinti

Hydrodynamics is nowadays understood as an effective field theory that describes the dynamics of the long-wavelength and slow-time fluctuations of an underlying microscopic theory. In this work we extend the relativistic hydrodynamics to…

High Energy Physics - Theory · Physics 2020-05-27 Saulo M. Diles , Luis A. H. Mamani , Alex S. Miranda , Vilson T. Zanchin

The evolution equations for a plasma comprising multiple species of charged fluids with relativistic bulk and thermal motion are derived. It is shown that a minimal fluid coupling model allows a natural casting of the evolution equations in…

High Energy Astrophysical Phenomena · Physics 2015-05-14 Jesse Pino , Hui Li , Swadesh Mahajan

In this paper, we find various analytic (1+3)D solutions to relativistic ideal hydrodynamic equations based on embedding of known low-dimensional scaling solutions. We first study a class of flows with 2D Hubble Embedding, for which a…

Nuclear Theory · Physics 2014-11-20 Shu Lin , Jinfeng Liao

A new class of simple and exact solutions of relativistic hydrodynamics is presented, and the consequences are explored in data analysis. The effects of longitudinal work and acceleration are taken into account in an advanced estimate of…

Nuclear Theory · Physics 2008-11-26 T. Csorgo , M. I. Nagy , M. Csanad

We initiate the study of a new nonlinear parabolic equation on a Riemann surface. The evolution equation arises as a reduction of the Anomaly flow on a fibration. We obtain a criterion for long-time existence for this flow, and give a range…

Differential Geometry · Mathematics 2021-11-30 Teng Fei , Zhijie Huang , Sebastien Picard

To describe dynamics of bulk and fluctuations near the QCD critical point we develop general relativistic fluctuation formalism for a fluid carrying baryon charge. Feedback of fluctuations modifies hydrodynamic coefficients including bulk…

High Energy Physics - Theory · Physics 2020-09-09 Xin An , Gokce Basar , Mikhail Stephanov , Ho-Ung Yee

We present the noncanonical Hamiltonian structure of the relativistic Euler equations for a perfect fluid in Minkowski spacetime. By identifying the system's noncanonical Poisson bracket and Hamiltonian, we show that relativistic fluid…

Mathematical Physics · Physics 2025-05-08 Keiichiro Takeda , Naoki Sato

Characteristic methods show excellent promise in the evolution of single black hole spacetimes. The effective coupling with matter fields may help the numerical exploration of important astrophysical systems such as neutron star black hole…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jose A Font , Philippos Papadopoulos

In recent years the equations of relativistic first-order viscous hydrodynamics, that is, the relativistic version of Navier-Stokes, have been shown to be well posed and causal under appropriate field redefinitions, also known as…

High Energy Physics - Theory · Physics 2023-12-29 Yago Bea , Pau Figueras

Using the conservation laws for charge, energy, momentum, and angular momentum, we derive hydrodynamic equations for the charge density, local temperature, and fluid velocity, as well as for the spin tensor, starting from local equilibrium…

Nuclear Theory · Physics 2018-04-18 Wojciech Florkowski , Bengt Friman , Amaresh Jaiswal , Enrico Speranza

Using information theory we derive a thermodynamics for systems evolving under a collective motion, i.e. under a time-odd constraint. An illustration within the Lattice gas Model is given for two model cases: a collision between two complex…

Nuclear Theory · Physics 2015-06-26 F. Gulminelli , PH. Chomaz

In this paper we describe in full details a new family of recently found exact solutions of relativistic, perfect fluid dynamics. With an ansatz, which generalizes the well-known Hwa-Bjorken solution, we obtain a wide class of new exact,…

Nuclear Theory · Physics 2008-11-26 M. I. Nagy , T. Csorgo , M. Csanad
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