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We demonstrate that relativistic conformal hydrodynamics in 2+1 dimensions displays a turbulent behaviour which cascades energy to longer wavelengths on both flat and spherical manifolds. Our motivation for this study is to understand the…

High Energy Physics - Theory · Physics 2013-05-30 Federico Carrasco , Luis Lehner , Robert C. Myers , Oscar Reula , Ajay Singh

This note provides a comprehensive examination of the various approaches to formulating relativistic hydrodynamics, with a particular emphasis on the canonical approach. Relativistic hydrodynamics plays a crucial role in understanding the…

High Energy Physics - Theory · Physics 2025-02-11 Luca Martinoia , Rajeev Singh

We propose an approximate approach for studying the relativistic regime of stellar tidal disruptions by rotating massive black holes. It combines an exact relativistic description of the hydrodynamical evolution of a test fluid in a fixed…

High Energy Astrophysical Phenomena · Physics 2017-05-26 Emilio Tejeda , Emanuel Gafton , Stephan Rosswog , John C. Miller

We present a numerical method for studying the normal modes of accretion flows around black holes. In this first paper, we focus on two-dimensional, viscous, hydrodynamic disks, for which the linear modes have been calculated analytically…

Astrophysics · Physics 2009-11-10 Chi-kwan Chan , Dimitrios Psaltis , Feryal Ozel

In this paper we consider the multi-dimensional Quantum Hydrodynamics (QHD) system, by adopting an intrinsically hydrodynamic approach. The present work continues the analysis initiated in [6] where the one dimensional case was studied.…

Analysis of PDEs · Mathematics 2025-02-17 Paolo Antonelli , Pierangelo Marcati , Hao Zheng

The current status of the application of hydrodynamics to ultrarelativistic heavy ion collisions is reviewed. We elaborate on the arguments for strong transverse flow and rapid thermalization and discuss future applications and trends in…

Nuclear Theory · Physics 2017-08-23 Peter F. Kolb

It is shown that the Schrodinger equation can be cast in the form of two coupled real conservation equations, in Euclidean spacetime in the free case and in a five-dimensional Eisenhart geometry in the presence of an external potential.…

Quantum Physics · Physics 2013-12-17 Peter Holland

The Rydberg formula along with the Ritz quantum defect ansatz has been a standard theoretical tool used in atomic physics since before the advent of quantum mechanics, yet this approach has remained limited by its non-relativistic…

Atomic Physics · Physics 2022-12-12 David M. Jacobs

We propose a starting point to the geometric description for the pseudo-gauge ambiguity in relativistic hydrodynamics, showing that it corresponds to the freedom to redefine the thermodynamic equilibrium state of the system. To do this, we…

Mathematical Physics · Physics 2025-11-13 Mykhailo Hontarenko , Javier de Lucas , Adam Maskalaniec

We use a hydrodynamic model to describe the relaxation of optically injected currents in quantum wells on a picosecond time scale, numerically solving the continuity and velocity evolution equations with the Hermite-Gaussian functions…

Other Condensed Matter · Physics 2007-12-12 R. M. Abrarov , E. Ya. Sherman , J. E. Sipe

We present a coupled Boltzmann and hydrodynamics approach to relativistic heavy ion reactions. This hybrid approach is based on the Ultra-relativistic Quantum Molecular Dynamics (UrQMD) transport approach with an intermediate hydrodynamical…

High Energy Physics - Phenomenology · Physics 2008-06-12 Hannah Petersen , Jan Steinheimer , Qingfeng Li , Gerhard Burau , Marcus Bleicher

In this paper, we present an approach to solving the Riemann problem in one-dimensional relativistic hydrodynamics, where the most computationally expensive steps of the exact solver are replaced by compact, highly specialized neural…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Carlo Musolino

There is great interest in numerical relativity simulations involving matter due to the likelihood that binary compact objects involving neutron stars will be detected by gravitational wave observatories in the coming years, as well as to…

General Relativity and Quantum Cosmology · Physics 2012-06-06 William E. East , Frans Pretorius , Branson C. Stephens

We develop a purely hydrodynamic formalism to describe collisional, anisotropic instabilities in a relativistic plasma, that are usually described with kinetic theory tools. Our main motivation is the fact that coarse-grained models of high…

High Energy Physics - Phenomenology · Physics 2017-01-04 Esteban Calzetta , Alejandra Kandus

Recent development of a hydrodynamic model is discussed by putting an emphasis on realistic treatment of the early and late stages in relativistic heavy ion collisions. The model, which incorporates a hydrodynamic description of the…

Nuclear Theory · Physics 2008-11-26 Tetsufumi Hirano

A hydrodynamic model coupled to the statistical hadronization code Therminator is used to study a set of observables in the soft sector at RHIC. A satisfactory description of the pT-spectra and elliptic flow is obtained, similarly to other…

Nuclear Theory · Physics 2009-11-18 W. Florkowski , W. Broniowski , M. Chojnacki , A. Kisiel

We present results from simulations of axisymmetric relativistic rotational core collapse. The general relativistic hydrodynamic equations are formulated in flux-conservative form and solved using a high-resolution shock-capturing scheme.…

Astrophysics · Physics 2009-11-06 Harald Dimmelmeier , Jose A. Font , Ewald Mueller

Recent years have seen a significant progress in the development of general relativistic codes for the numerical solution of the equations of magnetohydrodynamics in spacetimes with high and dynamical curvature. These codes are valuable…

High Energy Astrophysical Phenomena · Physics 2024-04-23 Yosuke Mizuno , Luciano Rezzolla

We describe the special relativistic extension of the CRONOS code, which has been used for studies of gamma-ray binaries in recent years. The code was designed to be easily adaptable, allowing the user to easily change existing…

High Energy Astrophysical Phenomena · Physics 2021-09-29 David Huber , Ralf Kissmann

Non-equilibrium radiation is addressed theoretically by means of a stochastic lattice-gas model. We consider a resonating transmission line composed of a chain of radiation resonators, each at a local equilibrium, whose boundaries are in…

Statistical Mechanics · Physics 2022-07-05 Boris Rotstein , Eric Akkermans