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We review some recent developments in mathematical aspects of relativistic fluids. The goal is to provide a quick entry point to some research topics of current interest that is accessible to graduate students and researchers from adjacent…

Analysis of PDEs · Mathematics 2024-10-29 Marcelo M. Disconzi

Breakup of a liquid jet into a chain of droplets is common in nature and industry. Previous researchers developed profound mathematic and fluid dynamic models to address this breakup phenomenon starting from tiny perturbations. However, the…

Fluid Dynamics · Physics 2024-02-14 Fei Wang , Oleg Tschukin , Thomas Leisner , Haodong Zhang , Britta Nestler

Ten years ago, relativistic viscous fluid dynamics was formulated from first principles in an effective field theory framework, based entirely on the knowledge of symmetries and long-lived degrees of freedom. In the same year, numerical…

Nuclear Theory · Physics 2019-05-21 Paul Romatschke , Ulrike Romatschke

Particles added to a fluid interface can be used as a surface stabilizer in the food, oil and cosmetic industries. As an alternative to rigid particles, it is promising to consider highly deformable particles that can adapt their…

Soft Condensed Matter · Physics 2016-10-27 Hadi Mehrabian , Jens Harting , Jacco H. Snoeijer

The term 'tomography' is commonly applied to the idea of studying properties of a medium by the modifications this medium induces to a known probe propagating through it. In the context of ultrarelativistic heavy-ion collisions, rare high…

High Energy Physics - Phenomenology · Physics 2008-11-26 Thorsten Renk , Kari J. Eskola

The eddy viscosity for a turbulent compressible fluid with a relativistic equation of state is derived. Compressibility allows for sound modes, but the eddy viscosity in the shear mode is found to be the same as for incompressible fluids.…

Nuclear Theory · Physics 2009-01-14 Paul Romatschke

We investigate the motion of free relativistic particles relative to the ambient medium around a gravitationally collapsed system. If the relative speed exceeds a critical value given by c/sqrt(2), the gravitational tidal effects exhibit…

Astrophysics · Physics 2009-11-10 C. Chicone , B. Mashhoon

High-energy heavy-ion collisions at the Relativistic Heavy-Ion Collider and the Large Hadron Collider have evolved from qualitative understanding into precise extraction of the properties of the Quantum Chromodynamics medium at extremely…

Nuclear Theory · Physics 2023-10-03 Shanshan Cao , Guang-You Qin

Diffusion of particles in complex fluids and gels is difficult to describe and often lies beyond the scope of the classical Stokes-Einstein relation. One of the main lines of research over the past few decades has sought to relate…

Soft Condensed Matter · Physics 2025-12-25 Władysław Sokołowski , Huma Jamil , Karol Makuch

In relativistic heavy-ion collisions, properties of the initial state and effects arising during evolution of the medium, such as a transition between the hadronic and partonic phases, should reflect themselves in event-by-event…

High Energy Physics - Phenomenology · Physics 2019-04-05 Igor Altsybeev

We present a formalism of the dynamics of internal shocks in relativistic jets where the source has a time-dependent injection velocity and mass-loss rate. The variation of the injection velocity produces a two-shock wave structure, the…

High Energy Astrophysical Phenomena · Physics 2015-06-12 J. Cantó , S. Lizano , M. Fernández-López , R. F. González , A. Hernández-Gómez

We review the modern view of fluid dynamics as an effective low energy, long wavelength theory of many body systems at finite temperature. We introduce the concept of a nearly perfect fluid, defined by a ratio $\eta/s$ of shear viscosity to…

High Energy Physics - Phenomenology · Physics 2015-06-19 Thomas Schaefer

A liquid jet can stably bounce off a sufficiently soft gel, by following the contour of the dimple created upon impact. This new phenomenon is insensitive to the wetting properties of the gels and was observed for different liquids over a…

Fluid Dynamics · Physics 2018-01-17 Dan Daniel , Xi Yao , Joanna Aizenberg

We investigate the measurement of the distribution of away-side jet $p_T$ as a way to probe the energy loss mechanism in heavy ion collisions, and constrain the properties of the medium created in heavy ion collisions. We define an…

High Energy Physics - Phenomenology · Physics 2007-05-23 Giorgio Torrieri , Charles Gale , Sangyong Jeon , Vasile Topor Pop

The suppression of the yield of high transverse momentum $p_{T}$ hadrons in heavy-ion collisions, referred to as "jet-quenching", has now developed into a comprehensive science. Jets are now used as probes of a variety of properties of the…

High Energy Physics - Phenomenology · Physics 2009-11-18 Abhijit Majumder

We study particle correlations in high energy jets by comparing the measured energy-energy correlator (EEC) with that constructed from two individual energy flows with respect to the jet axis. This comparison demonstrates that genuine…

High Energy Physics - Phenomenology · Physics 2025-07-28 Wenbin Zhao , Volker Koch , Feng Yuan

The matter created in relativistic heavy ion collisions is fairly well described by ideal hydrodynamics, and somewhat better described by viscous hydrodynamics. To this point, most viscous calculations have been two-dimensional, based on an…

Nuclear Theory · Physics 2015-06-04 Joshua Vredevoogd , Scott Pratt

The present review article has attempted a compact formalism description of transport coefficient calculations for relativistic fluid, which is expected in heavy ion collision experiments. Here, we first address the macroscopic description…

Nuclear Theory · Physics 2024-04-03 Ashutosh Dwibedi , Nandita Padhan , Arghya Chatterjee , Sabyasachi Ghosh

We study the role of viscosity in the early stages of relativistic heavy ion collisions. We investigate the role of viscosity on the chemical equilibration of a parton gas. In the presence of viscosity the lifetime of the system is…

Nuclear Theory · Physics 2008-11-26 Azwinndini Muronga

There are now several types of relativistic flows in astrophysical settings. The foremost examples are jets and disks orbiting spinning black holes, pulsar winds and gamma ray bursts. As discussed at this meeting, these flows exhibit…

Astrophysics · Physics 2007-05-23 R. D. Blandford
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