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We present a general solution of relativistic (1+1)-dimensional hydrodynamics for a perfect fluid flowing along the longitudinal direction as a function of time, uniformly in transverse space. The Khalatnikov potential is expressed as a…

High Energy Physics - Theory · Physics 2011-01-11 Robi Peschanski , Emmanuel N. Saridakis

Using the formalism of the Khalatnikov potential, we derive exact general formulae for the entropy flow dS/dy, where y is the rapidity, as a function of temperature for the (1+1) relativistic hydrodynamics of a perfect fluid. We study in…

Nuclear Theory · Physics 2009-01-16 Guillaume Beuf , Robi Peschanski , Emmanuel N. Saridakis

A full (3+1)-dimensional calculation using the Lagrangian hydrodynamics is proposed for relativistic nuclear collisions. The calculation enables us to evaluate anisotropic flow of hadronic matter which appears in non-central and/or…

High Energy Physics - Phenomenology · Physics 2011-09-13 Chiho Nonaka , Eiji Honda , Shin Muroya

A 1+1 dimensional hydrodynamical model in the light-cone coordinates is used to describe central heavy-ion collisions at ultrarelativistic bombarding energies. Deviations from Bjorken's scaling are taken into account by choosing finite-size…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. M. Satarov , I. N. Mishustin , A. V. Merdeev , H. Stoecker

Considering ($1+1$)-dimensional fluid in presence of gravitational trace anomaly, as an effective description of higher-dimensional fluid, the hydrodynamics is discussed through a first order thermodynamic description. Contrary to the…

General Relativity and Quantum Cosmology · Physics 2024-06-11 Abhinove Nagarajan Seenivasan , Sayan Chakrabarti , Bibhas Ranjan Majhi

We study the non-equilibrium steady-states of a one-dimensional ($1D1V$) fluid in a finite space region of length $L$. Particles interact among themselves by multi-particle collisions and are in contact with two thermal-wall heat…

Statistical Mechanics · Physics 2021-03-08 Stefano Lepri , Guido Ciraolo , Pierfrancesco Di Cintio , Jamie Gunn , Roberto Livi

Collisionless shocks, essential for astrophysics, perhaps do not exist as statistically stationary solutions. If so, any quantitative statement about a collisionless shock should be qualified by the age of the shock. A theoretical…

High Energy Astrophysical Phenomena · Physics 2025-01-30 Andrei Gruzinov

We exploit the concept of hydrodynamic attractors to establish a general relation between the initial state energy and the produced particle multiplicities in high-energy nuclear collisions. When combined with an ab initio model of energy…

High Energy Physics - Phenomenology · Physics 2021-01-01 Giuliano Giacalone , Aleksas Mazeliauskas , Sören Schlichting

A gas composed of a large number of atoms evolving according to Newtonian dynamics is often described by continuum hydrodynamics. Proving this rigorously is an outstanding open problem, and precise numerical demonstrations of the…

Statistical Mechanics · Physics 2021-06-22 Subhadip Chakraborti , Santhosh Ganapa , P. L. Krapivsky , Abhishek Dhar

We study nonequilibrium thermodynamic properties of a driven one-dimensional quantum fluid by combining nonlinear Luttinger liquid theory with the quantum kinetic equation. In particular, we derive an entropy production consistent with the…

Mesoscale and Nanoscale Physics · Physics 2019-10-09 Edvin G. Idrisov , Thomas L. Schmidt

We simulate the space-time dynamics of high-energy collisions based on a microscopic kinetic description, in order to determine the range of applicability of an effective description in relativistic viscous hydrodynamics. We find that…

High Energy Physics - Phenomenology · Physics 2024-02-12 Clemens Werthmann , Victor E. Ambruş , Sören Schlichting

Hydrodynamic equations for a one-component plasma are derived as a generalization of the Euler equations to include the effects of the long-range Coulomb interaction. By using a variational principle, these equations self-consistently unify…

Plasma Physics · Physics 2024-03-20 Daniels Krimans , Seth Putterman

Quantum plasma physics is a rapidly evolving research field with a very inter-disciplinary scope of potential applications, ranging from nano-scale science in condensed matter to the vast scales of astrophysical objects. The theoretical…

Plasma Physics · Physics 2013-10-02 Shabbir A. Khan , Michael Bonitz

A very intuitive description of nucleus-nucleus collision phenomena is provided by the relativistic fluid dynamics. We consider a 1+1 dimensional relativistic imperfect fluid flow to approximate the high energy heavy ion collision. The…

Nuclear Theory · Physics 2007-05-23 C Alexa , D Vrinceanu

Finite-temperature quantum turbulence is often described in terms of two immiscible fluids that can flow with a non-zero mean relative velocity. Such out-of-equilibrium state is known as counterflow superfluid turbulence. We report here the…

Fluid Dynamics · Physics 2020-12-18 Juan Ignacio Polanco , Giorgio Krstulovic

Recently formulated model of highly-anisotropic and strongly dissipative hydrodynamics is used in 3+1 dimensions to study behavior of matter produced in ultra-relativistic heavy-ion collisions. We search for possible effects of the initial…

Nuclear Theory · Physics 2012-06-22 Radoslaw Ryblewski , Wojciech Florkowski

We develop new variational principles to study stability and equilibrium of axisymmetric flows. We show that there is an infinite number of steady state solutions. We show that these steady states maximize a (non-universal) $H$-function. We…

Fluid Dynamics · Physics 2016-08-16 Nicolas Leprovost , Bérengère Dubrulle , Pierre-Henri Chavanis

We investigate the behavior of a one-dimensional diatomic fluid under a shock wave excitation. We find that the properties of the resulting shock wave are in striking contrast with those predicted by hydrodynamic and kinetic approaches,…

Statistical Mechanics · Physics 2009-11-11 Pablo I. Hurtado

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

We revisit the general analytic solution space for relativistic $(1+1)$-dimensional hydrodynamics for a perfect fluid flowing along the longitudinal direction. We work out the explicit one-parameter family of interpolating flows between…

High Energy Physics - Theory · Physics 2025-08-12 Aritra Banerjee , Abir Ghosh
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