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Construction of a nonlinear higher-order thermo-hydrodynamics, including correlations, in the framework of a Generalized Nonequilibrium Statistical Grand-Canonical Ensemble is presented. In that way it is provided a particular formalism for…

Statistical Mechanics · Physics 2007-05-23 Áurea R. Vasconcellos , J. Galvão Ramos , Roberto Luzzi

The success of relativistic hydrodynamics as an essential part of the phenomenological description of heavy-ion collisions at RHIC and the LHC has motivated a significant body of theoretical work concerning its fundamental aspects. Our…

High Energy Physics - Phenomenology · Physics 2018-03-14 Wojciech Florkowski , Michal P. Heller , Michal Spalinski

Confined granular fluids, placed in a shallow box that is vibrated vertically, can achieve homogeneous stationary states thanks to energy injection mechanisms that take place throughout the system. These states can be stable even at high…

Soft Condensed Matter · Physics 2015-06-12 Ricardo Brito , Dino Risso , Rodrigo Soto

We compute the gradient expansion for anisotropic hydrodynamics. The results are compared with the corresponding expansion of the underlying kinetic-theory model with the collision term treated in the relaxation time approximation. We find…

Nuclear Theory · Physics 2016-12-28 Wojciech Florkowski , Radoslaw Ryblewski , Michał Spaliński

Construction, in the framework of a Nonequilibrium Statistical Ensemble Formalism, of a Mesoscopic Hydro-Thermodynamics, that is, covering phenomena involving motion displaying variations short in space and fast in time -unrestricted values…

Fluid Dynamics · Physics 2012-10-30 C. A. B. Silva , J. G. Ramos , A. R. Vasconcellos , R. Luzzi

We develop a hydrodynamic approach to non-equilibrium conformal field theory. We study non-equilibrium steady states in the context of one-dimensional conformal field theory perturbed by the $T\bar T$ irrelevant operator. By direct quantum…

Statistical Mechanics · Physics 2016-03-25 Denis Bernard , Benjamin Doyon

The objective of this work is to revisit fundamental aspects of relativistic hydrodynamics, aiming at the construction of a first course in relativistic hydrodynamics and its applications to astrophysics at the level of end of undergraduate…

General Relativity and Quantum Cosmology · Physics 2022-10-17 R. F. Santos , A. C. Amaro Faria , L. G. Almeida

We derive the Hydrodynamics for a system of N active, spherical, underdamped particles, interacting through conservative forces. At the microscopic level, we represent the evolution of the particles in terms of the Kramers equation for the…

Statistical Mechanics · Physics 2022-03-15 Umberto Marini Bettolo Marconi , Andrea Puglisi , Lorenzo Caprini

In this work, we first derive the evolution equation for the general energy-momentum moment of $\delta f$, where $\delta f$ is the deviation from the local equilibrium phase space density. We then introduce a relativistic extension of…

Nuclear Theory · Physics 2024-08-21 Dasen Ye , Sangyong Jeon , Charles Gale

A new class of 3D anisotropic analytic solutions of relativistic hydrodynamics with constant pressure is found. We analyse, in particular, solutions corresponding to ellipsoidally symmetric expansion of finite systems into vacuum. They can…

Nuclear Theory · Physics 2009-11-11 Yu. M. Sinyukov , Iu. A. Karpenko

Motivated by the physics of the quark-gluon plasma created in heavy-ion collision experiments, we use holography to study the regime of applicability of various theories of relativistic viscous hydrodynamics. Using the microscopic…

High Energy Physics - Theory · Physics 2022-09-23 Hans Bantilan , Yago Bea , Pau Figueras

Employing a kinetic framework, we calculate all transport coefficients for relativistic dissipative (second-order) hydrodynamics for arbitrary particle masses in the 14-moment approximation. Taking the non-relativistic limit, it is shown…

Nuclear Theory · Physics 2025-05-07 Semyon Potesnov , David Wagner

Critical analyses of well-known methods of derivation of kinetic and hydrodynamic equations is presented. Another method of derivation of kinetic and hydrodynamic equations from classic mechanics is described. It is shown that equations of…

Plasma Physics · Physics 2014-07-02 L. S. Kuz'menkov , P. A. Andreev

If the matter produced in ultrarelativistic heavy-ion collisions reaches thermal equilibrium, its subsequent evolution follows the laws of ideal fluid dynamics. We show that general predictions can be made on this basis alone, irrespective…

Nuclear Theory · Physics 2007-05-23 N. Borghini , J. -Y. Ollitrault

One of the many physical questions that have emerged from studies of heavy-ion collisions at RHIC and the LHC concerns the validity of hydrodynamic modelling at the very early stages, when the Quark-Gluon Plasma system produced is still far…

Nuclear Theory · Physics 2023-08-24 Jakub Jankowski , Michał Spaliński

Relativistic hydrodynamics for ideal and viscous fluids is discussed as a tool to describe relativistic heavy-ion collisions and to extract transport properties of the quark-gluon plasma from experimentally measured hadron momentum spectra.

Nuclear Theory · Physics 2015-05-13 Ulrich W. Heinz

We show that by requiring positivity of the longitudinal pressure it is possible to constrain the initial conditions one can use in 2nd-order viscous hydrodynamical simulations of ultrarelativistic heavy-ion collisions. We demonstrate this…

High Energy Physics - Phenomenology · Physics 2009-09-09 Mauricio Martinez , Michael Strickland

A new class of accelerating, exact, explicit and simple solutions of relativistic hydrodynamics is presented. Since these new solutions yield a finite rapidity distribution, they lead to an advanced estimate of the initial energy density…

Nuclear Theory · Physics 2011-08-04 T. Csorgo , M. I. Nagy , M. Csanad

We develop a hydrodynamic effective field theory on the Schwinger-Keldysh contour for fluids with charge, energy, and momentum conservation, but only discrete rotational symmetry. The consequences of anisotropy on thermodynamics and…

High Energy Physics - Theory · Physics 2022-03-16 Xiaoyang Huang , Andrew Lucas

Second-order relativistic hydrodynamics is surprisingly predictive, even in the presence of large gradients. The hydrodynamic expansion from the method of moments does not require a gradient expansion, but it is intrinsically bound to the…

Nuclear Theory · Physics 2020-03-23 Leonardo Tinti