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We study the evolution of hydrodynamic and non-hydrodynamic moments of the distribution function using anisotropic and third-order Chapman-Enskog hydrodynamics for systems undergoing Bjorken and Gubser flows. The hydrodynamic results are…

Nuclear Theory · Physics 2018-06-20 Chandrodoy Chattopadhyay , Ulrich Heinz , Subrata Pal , Gojko Vujanovic

Coupling hadronic kinetic theory models to fluid dynamics in phenomenological studies of heavy ion collisions requires a prescription for ``particlization''. Existing particlization models are based on implicit or explicit assumptions about…

High Energy Physics - Phenomenology · Physics 2021-06-16 Derek Everett , Chandrodoy Chattopadhyay , Ulrich Heinz

We explore the far-off-equilibrium aspects of the (1+1)-dimensional early-stage evolution of a weakly-coupled quark-gluon plasma using kinetic theory and hydrodynamics. For a large set of far-off-equilibrium initial conditions the system…

Nuclear Theory · Physics 2023-12-11 Chandrodoy Chattopadhyay , Ulrich Heinz , Thomas Schaefer

We derive the second-order hydrodynamic equation and the microscopic formulae of the relaxation times as well as the transport coefficients systematically from the relativistic Boltzmann equation. Our derivation is based on a novel…

High Energy Physics - Phenomenology · Physics 2016-02-01 Kyosuke Tsumura , Yuta Kikuchi , Teiji Kunihiro

Understanding the applicability of fluid-dynamical models to describe the hot and dense matter produced in the early stages of hadronic collisions is a fundamental problem in the field. In particular, it is not clear to what degree this…

Nuclear Theory · Physics 2025-10-17 Caio V. P. de Brito , Gabriel S. Denicol

I review recent developments in the field of relativistic hydrodynamics and its application to the bulk dynamics in heavy-ion collisions at the Relativistic Heavy- Ion Collider (RHIC) and the Large Hadron Collider (LHC). In particular, I…

Nuclear Theory · Physics 2015-05-28 Bjoern Schenke

I review the recent progress in measuring elliptic flow in heavy ion collisions. These measurements show clearly how hydrodynamics starts to develop as the system size is increased from peripheral to central collisions. During this…

Nuclear Theory · Physics 2009-11-18 Derek Teaney

We propose a general approach to freezing out fluctuations in heavy-ion collisions using the principle of maximum entropy. We find the results naturally expressed as a direct relationship between the irreducible relative correlators…

High Energy Physics - Phenomenology · Physics 2023-05-17 Maneesha Sushama Pradeep , Mikhail Stephanov

We generalize the derivation of viscous anisotropic hydrodynamics from kinetic theory to allow for non-zero particle masses. The macroscopic theory is obtained by taking moments of the Boltzmann equation after expanding the distribution…

Nuclear Theory · Physics 2015-03-26 Dennis Bazow , Ulrich W. Heinz , Mauricio Martinez

We derive the non-equilibrium single-particle momentum distribution function of a hadron resonance gas. We then study the effects that this newly derived expression can have in the freeze-out description of fluid-dynamical models of heavy…

Nuclear Theory · Physics 2015-06-12 G. S. Denicol , H. Niemi

Relativistic fluid dynamics finds application in astrophysics, cosmology and the physics of high-energy heavy-ion collisions. In this thesis, we present our work on the formulation of relativistic dissipative fluid dynamics within the…

Nuclear Theory · Physics 2014-08-06 Amaresh Jaiswal

In relativistic kinetic theory, the one-particle distribution function is approximated by an asymptotic perturbative power series in Knudsen number which is divergent. For the Bjorken flow, we expand the distribution function in terms of…

High Energy Physics - Theory · Physics 2019-07-09 Alireza Behtash , Syo Kamata , M. Martinez , Haosheng Shi

Fluid-dynamical equations of motion can be derived from the Boltzmann equation in terms of an expansion around a single-particle distribution function which is in local thermodynamical equilibrium, i.e., isotropic in momentum space in the…

Nuclear Theory · Physics 2016-06-29 E. Molnar , H. Niemi , D. H. Rischke

By solving a simple kinetic equation, in the relaxation time approximation, and for a particular set of moments of the distribution function, we establish a set of equations which, on the one hand, capture exactly the dynamics of the…

Nuclear Theory · Physics 2018-03-07 Jean-Paul Blaizot , Li Yan

Fluid dynamics is traditionally thought to apply only to systems near local equilibrium. In this case, the effective theory of fluid dynamics can be constructed as a gradient series. Recent applications of resurgence suggest that this…

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

Exploring a variety of closing schemes to the infinite hierarchy of momentum moments of the exactly solvable Boltzmann equation for systems undergoing Gubser flow, we study the precision with which the resulting hydrodynamic equations…

Nuclear Theory · Physics 2017-06-07 M. Martinez , M. McNelis , U. Heinz

The most rigorous physical description of non-equilibrium gas dynamics is rooted in the numerical solution of the Boltzmann equation. Yet, the large number of degrees of freedom and the wide range of both spatial and temporal scales render…

Computational Physics · Physics 2024-10-25 Anthony Chang , Narendra Singh , Marco Panesi

Carroll hydrodynamics arises in the $c\to 0$ limit of relativistic hydrodynamics. Instances of its relevance include the Bjorken and Gubser flow models of heavy-ion collisions, where the ultrarelativistic nature of the flow makes the…

High Energy Physics - Theory · Physics 2026-01-13 Kedar S. Kolekar , Taniya Mandal , Ashish Shukla , Pushkar Soni

Several recent results are reported from work aiming to improve the quantitative precision of relativistic viscous fluid dynamics for relativistic heavy-ion collisions. The dense matter created in such collisions expands in a highly…

Nuclear Theory · Physics 2017-03-16 U. Heinz , D. Bazow , G. S. Denicol , M. Martinez , M. Nopoush , J. Noronha , R. Ryblewski , M. Strickland

Anisotropic hydrodynamics improves upon standard dissipative fluid dynamics by treating certain large dissipative corrections non-perturbatively. Relativistic heavy-ion collisions feature two such large dissipative effects: (i) Strongly…

Nuclear Theory · Physics 2018-06-06 M. McNelis , D. Bazow , U. Heinz
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