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We study the hydrodynamical expansion of a hot and baryon-dense quark fluid coupled to classical real-time evolution of the long wavelength modes of the chiral field. Significant density inhomogeneities develop dynamically when the…

Nuclear Theory · Physics 2016-09-08 Kerstin Paech , Adrian Dumitru

The relativistic hydrodynamic model is applied to describe the expansion of the dense matter formed in relativistic heavy-ion collisions. The hydrodynamic expansion of the fluid, supplemented with the statistical emission of hadrons at…

Nuclear Theory · Physics 2012-03-27 Piotr Bozek

In recent work [1] we uncovered intriguing connections between Otto's characterisation of diffusion as entropic gradient flow [16] on one hand and large-deviation principles describing the microscopic picture (Brownian motion) on the other.…

Analysis of PDEs · Mathematics 2014-03-05 Stefan Adams , Nicolas Dirr , Mark A. Peletier , Johannes Zimmer

Dissipative relativistic fluid dynamics is not always causal and can favor superluminal signal propagation under certain circumstances. On the other hand, high-energy nuclear collisions have a microscopic description in terms of QCD and are…

Nuclear Theory · Physics 2018-09-26 Stefan Floerchinger , Eduardo Grossi

A second order relativistic hydrodynamic theory has been derived using momentum dependent relaxation time in the relativistic transport equation. In order to do that, an iterative technique of gradient expansion approach, namely…

Nuclear Theory · Physics 2021-02-03 Sukanya Mitra

Hydrodynamic behavior is a general feature of interacting systems with many degrees of freedom constrained by conservation laws. To date hydrodynamic scaling in relativistic quantum systems has been observed in many high energy settings,…

High Energy Physics - Phenomenology · Physics 2009-11-07 Luis M. A. Bettencourt , Fred Cooper , Karen Pao

The generalised hydrodynamic theory of an electron gas, which does not rely on an assumption of a local equilibrium, is derived as the long-wave limit of a kinetic equation. Apart from the common hydrodynamics variables the theory includes…

Soft Condensed Matter · Physics 2009-10-31 I. Tokatly , O. Pankratov

Hydrodynamics provides a universal description of interacting quantum field theories at sufficiently long times and wavelengths, but breaks down at scales dependent on microscopic details of the theory. In the vicinity of a quantum critical…

High Energy Physics - Theory · Physics 2021-08-11 Daniel Arean , Richard A. Davison , Blaise Goutéraux , Kenta Suzuki

We explore the transition to hydrodynamics in a weakly-coupled model of quark-gluon plasma given by kinetic theory in the relaxation time approximation with conformal symmetry. We demonstrate that the gradient expansion in this model has a…

Nuclear Theory · Physics 2018-06-12 Michal P. Heller , Aleksi Kurkela , Michal Spalinski , Viktor Svensson

In this work, the poles and the resulting dispersion spectra from the relativistic kinetic equation have been analyzed with the help of a proposed collision kernel that conserves both the energy-momentum tensor and particle current by…

Nuclear Theory · Physics 2025-12-31 Sukanya Mitra

We examine hydrodynamics from the perspective of an effective field theory. The microscopic scale in this case is the thermalization scale, and the macroscopic scale is the gradient, with thermal fluctuations playing the role of $\hbar$. We…

High Energy Physics - Theory · Physics 2019-07-24 David Montenegro , Radoslaw Ryblewski , Giorgio Torrieri

Starting with a brief introduction into the basics of relativistic fluid dynamics, I discuss our current knowledge of a relativistic theory of fluid dynamics in the presence of (mostly shear) viscosity. Derivations based on the generalized…

High Energy Physics - Phenomenology · Physics 2010-03-02 Paul Romatschke

We investigate the effects of anisotropy on dispersion relations and convergence in relativistic hydrodynamics. In particular, we show that for dispersion relations with a branch point at the origin (such as sound modes), there exists a…

High Energy Physics - Theory · Physics 2026-01-01 Raphael E. Hoult

Relativistic hydrodynamics of classic plasmas is derived from the microscopic model in the limit of ideal plasmas. The chain of equations is constructed step by step starting from the concentration evolution. It happens that the energy…

Plasma Physics · Physics 2023-08-09 Pavel A. Andreev

Recent discussions of RHIC data emphasized the exciting possibility that the matter produced in nucleus-nucleus collisions shows properties of a near-perfect fluid. Here, we aim at delineating the applicability of fluid dynamics, which is…

High Energy Physics - Phenomenology · Physics 2008-11-26 Rudolf Baier , Paul Romatschke , Urs Achim Wiedemann

We study the evolution of the longitudinal expansion of an ideal fluid with finite electrical conductivity, which is subject to the EM fields. In the framework of resistive relativistic-magneto-hydrodynamic, we find an exact analytical…

Nuclear Theory · Physics 2020-07-22 M. Haddadi Moghaddam , W. M. Alberico , Duan She , A. F. Kord , B. Azadegan

We simulate the space-time dynamics of high-energy collisions based on a microscopic kinetic description in the conformal relaxation time approximation, in order to determine the range of applicability of an effective description in…

High Energy Physics - Phenomenology · Physics 2023-04-26 Victor E. Ambrus , S. Schlichting , C. Werthmann

Hydrodynamics is a general theoretical framework for describing the long-time large-distance behaviors of various macroscopic physical systems, with its equations based on conservation laws such as energy-momentum conservation and charge…

Nuclear Theory · Physics 2022-12-06 Duan She , Anping Huang , Defu Hou , Jinfeng Liao

We rigorously prove that, in any relativistic kinetic theory whose non-hydrodynamic sector has a finite gap, the Taylor series of all hydrodynamic dispersion relations has a finite radius of convergence. Furthermore, we prove that, for…

Nuclear Theory · Physics 2024-11-11 Lorenzo Gavassino

We obtain the hydrodynamic limit of one-dimensional interacting particle systems describing the macroscopic evolution of the density of mass in infinite volume from the microscopic dynamics. The processes are weak pertubations of the…

Probability · Mathematics 2009-08-14 Glauco Valle