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Combining the hydrodynamic model (Hydro code) and the transport model (PACIAE model), we present the Hydro-PACIAE hybrid model. We use the Hydro-PACIAE hybrid model to calculate Au+Au collisions at $\sqrt{s_{NN}}$=130 GeV and Pb+Pb…

Nuclear Theory · Physics 2015-06-03 Yu-Liang Yan , Yun Cheng , Dai-Mei Zhou , Bao-Guo Dong , Xu Cai , Ben-Hao Sa , Laszlo P. Csernai

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

Modeling and direct numerical simulation of particle-laden flows have a tremendous variety of applications in science and engineering across a vast spectrum of scales from pollution dispersion in the atmosphere, to fluidization in the…

The hydrodynamic description of transversally thermalized matter, possibly formed at the early stages of ultra-relativistic heavy-ion collisions, is developed. The formalism is based on the thermodynamically consistent approach with all…

Nuclear Theory · Physics 2009-04-17 Mikolaj Chojnacki , Wojciech Florkowski

Our recently developed 2+1 (boost-invariant) hydrodynamic model has been presented and used to i) describe the soft hadronic data collected in the central region of the relativistic heavy-ion collisions at RHIC and ii) to make predictions…

Nuclear Theory · Physics 2011-02-02 Mikolaj Chojnacki

Recent theoretical developments of relativistic hydrodynamics applied to ultrarelativistic heavy-ion collisions are briefly reviewed. In particular, the concept of a formal gradient expansion is discussed, which is a tool to compare…

Nuclear Theory · Physics 2017-12-15 Wojciech Florkowski

The transport approach is a useful tool to study dynamics of non-equilibrium systems. For heavy-ion collisions at intermediate energies, where both the smooth nucleon potential and the hard-core nucleon-nucleon collision are important, the…

Nuclear Theory · Physics 2019-04-02 Jun Xu

We give a short review about the hydrodynamic model and its application to the elliptic flow phenomena and the pion interferometry in relativistic heavy ion collisions.

Nuclear Theory · Physics 2007-05-23 Tetsufumi Hirano

In this review article, we first briefly introduce the transport theory and quantum molecular dynamics model applied in the study of the heavy ion collisions from low to intermediate energies. The developments of improved quantum molecular…

Nuclear Theory · Physics 2020-05-27 Yingxun Zhang , Ning Wang , Qingfeng Li , Li Ou , Junlong Tian , Min Liu , Kai Zhao , Xizhen Wu , Zhuxia Li

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

In this article, we briefly review recent progress on hydrodynamic modeling and its implementations to relativistic heavy-ion collisions at RHIC and the LHC. The related topics include: 1) initial state fluctuations, final state…

Nuclear Theory · Physics 2014-01-03 Huichao Song

We outline a general formalism of hydrodynamics for quantum systems with multiple particle species which undergo completely elastic scattering. In the thermodynamic limit, the complete kinematic data of the problem consists of the particle…

Statistical Mechanics · Physics 2017-09-06 Enej Ilievski , Jacopo De Nardis

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

In this lecture note, we present several topics on relativistic hydrodynamics and its application to relativistic heavy ion collisions. In the first part we give a brief introduction to relativistic hydrodynamics in the context of heavy ion…

Nuclear Theory · Physics 2015-05-13 Tetsufumi Hirano , Naomi van der Kolk , Ante Bilandzic

The observation of fluid-like behavior in nucleus-nucleus, proton-nucleus and high-multiplicity proton-proton collisions motivates systematic studies of how different measurements approach their fluid-dynamic limit. We have developed…

High Energy Physics - Phenomenology · Physics 2020-11-11 Aleksi Kurkela , Seyed Farid Taghavi , Urs Achim Wiedemann , Bin Wu

Hydrodynamics is applied to describe the dynamics of relativistic heavy-ion collisions. The focus of the present study is the influence of a possible (phase) transition to the quark-gluon plasma in the nuclear matter equation of state on…

Nuclear Theory · Physics 2009-10-30 Dirk H. Rischke

We evaluate the full opacity dependence of collective flow in high-energy heavy-ion collisions within a microscopic kinetic description based on the Boltzmann equation in the conformal relaxation time approximation. By comparing kinetic…

High Energy Physics - Phenomenology · Physics 2023-05-24 Victor E. Ambrus , S. Schlichting , C. Werthmann

Relativistic hydrodynamics has been extensively applied to high energy heavy-ion collisions. We review hydrodynamic calculations for Au+Au collisions at RHIC energies and provide a comprehensive comparison between the model and experimental…

Nuclear Theory · Physics 2007-05-23 Peter F. Kolb , Ulrich Heinz

It has long been debated whether the hydrodynamics is suitable for the smaller colliding systems such as p+p collisions. In this paper, by assuming the existence of longitudinal collective motion and long-range interactions in the hot and…

Nuclear Theory · Physics 2018-12-05 Jiaqi Hui , Zhijin Jiang

We derive and investigate several hydrodynamic formalisms that emerge from a system of classical, ultra-relativistic scalar particles self-interacting via a quartic potential. The specific form of the total cross-section enables the…

Nuclear Theory · Physics 2023-08-23 Gabriel S. Rocha , Caio V. P. de Brito , Gabriel S. Denicol