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Related papers: Analytical attractor for Bjorken expansion

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Evolution of quark-gluon plasma (QGP) near equilibrium can be described by the second-order relativistic viscous hydrodynamic equations. Consistent and analytically verifiable numerical solutions are critical for phenomenological studies of…

High Energy Physics - Phenomenology · Physics 2015-05-06 Long-Gang Pang , Yoshitaka Hatta , Xin-Nian Wang , Bo-Wen Xiao

We investigate the impact of momentum-dependent relaxation time approximation in the Boltzmann equation within the Bjorken flow framework by analyzing the moments of the single-particle distribution function. The moment equations, which…

Nuclear Theory · Physics 2025-10-23 Reghukrishnan Gangadharan , Sukanya Mitra , Victor Roy

We investigate whether hydrodynamic attractors are present in simulations of the quark-gluon plasma formed in heavy-ion collisions. We argue that Lagrangian schemes to solve the relativistic viscous fluid equations can be particularly…

Nuclear Theory · Physics 2021-02-03 Gabriel S. Denicol , Jorge Noronha

Using a holographic method, we further investigate the relaxation towards the hydrodynamic regime of a boost-invariant non-Abelian plasma taken out-of-equilibrium. In the dual description, the system is driven out-of-equilibrium by boundary…

High Energy Physics - Phenomenology · Physics 2015-06-23 L. Bellantuono , P. Colangelo , F. De Fazio , F. Giannuzzi

In Moln\'ar et al. [Phys. Rev. D 93, 114025 (2016)] the equations of anisotropic dissipative fluid dynamics were obtained from the moments of the Boltzmann equation based on an expansion around an arbitrary anisotropic single-particle…

Nuclear Theory · Physics 2016-12-07 Etele Molnár , Harri Niemi , Dirk H. Rischke

We derive approximate iterative analytical solutions of the non-extensive Boltzmann transport equation in the relaxation time approximation. The approximate solutions almost overlap with the exact solution for a considerably wide range of…

Nuclear Theory · Physics 2023-06-27 Trambak Bhattacharyya

A new class of exact electrostatic solutions of the Vlasov-Maxwell equations based on the Jeans's theorem is proposed for studying the evolution and properties of two-dimensional anisotropic plasmas that are far from thermodynamic…

Plasma Physics · Physics 2017-09-06 A. R. Karimov , M. Y. Yu , L. Stenflo

Simple, self-similar, analytic solutions of 1+1 dimensional relativistic hydrodynamics are presented, generalizing Bjorken's solution to inhomogeneous rapidity distribution.

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Csorgo , F. Grassi , Y. Hama , T. Kodama

We present results of the application of the anisotropic hydrodynamics (aHydro) framework to (2+1)-dimensional boost invariant systems. The necessary aHydro dynamical equations are derived by taking moments of the Boltzmann equation using a…

Nuclear Theory · Physics 2012-06-20 Mauricio Martinez , Radoslaw Ryblewski , Michael Strickland

We justify the global-in-time validity of Hilbert expansion for the ionic Vlasov-Poisson-Boltzmann system in $\mathbb{R}^3$, a fundamental model describing ion dynamics in dilute collisional plasmas. As the Knudsen number approaches zero,…

Analysis of PDEs · Mathematics 2026-01-06 Fucai Li , Yichun Wang

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

In this paper we apply hydrodynamics for systems with continuous broken symmetries to heavy ion collisions in the framework of (1+1) dimensional Bjorken model. The temperature profile with respect to proper time determined in that context…

High Energy Physics - Phenomenology · Physics 2009-11-07 Y. Lallouet , D. Davesne , C. Pujol

Relativistic plasmas are central to the study of black hole accretion, jet physics, neutron star mergers, and compact object magnetospheres. Despite the need to accurately capture the dynamics of these plasmas and the implications for…

High Energy Astrophysical Phenomena · Physics 2022-07-20 Elias R. Most , Jorge Noronha , Alexander A. Philippov

We investigate several hydrodynamization times for an ensemble of different far-from-equilibrium solutions of the strongly coupled $\mathcal{N}=4$ Supersymmetric Yang-Mills plasma undergoing Bjorken flow. For the ensemble of initial data…

Nuclear Theory · Physics 2022-02-15 Romulo Rougemont , Willians Barreto , Jorge Noronha

The large proper-time behaviour of expanding boost-invariant fluids has provided many crucial insights into quark-gluon plasma dynamics. Here we formulate and explore the late-time behaviour of nonequilibrium dynamics at the level of…

High Energy Physics - Theory · Physics 2021-05-12 Michal P. Heller , Alexandre Serantes , Michał Spaliński , Viktor Svensson , Benjamin Withers

We use gauge/gravity duality to study the dynamics of strongly coupled gauge theories undergoing boost invariant expansion in an arbitrary number of space-time dimensions (D). By keeping the scale of the late-time energy density fixed, we…

High Energy Physics - Theory · Physics 2019-02-20 Jorge Casalderrey-Solana , Christopher P. Herzog , Ben Meiring

Using the method of prolongation we generate new solutions from a simple particular solution for relativistic transverse flow with cylindrical symmetry in 1+3 dimensions. This is an extension of the longitudinal Bjorken flow ansatz and can…

Nuclear Theory · Physics 2009-11-06 Tamas S. Biro

We develop the relativistic theory of hydrodynamic fluctuations for application to high energy heavy ion collisions. In particular, we investigate their effect on the expanding boost-invariant (Bjorken) solution of the hydrodynamic…

Nuclear Theory · Physics 2015-06-03 J. I. Kapusta , B. Müller , M. Stephanov

We present a nonlinear hydrodynamical description of a conformal plasma within the framework of divergence-type theories (DTTs), which are not based on a gradient expansion. We compare the equations of the DTT and the second-order theory…

High Energy Physics - Phenomenology · Physics 2010-10-26 J. Peralta-Ramos , E. Calzetta

We consider a family of exact boost invariant solutions of the transport equation for free streaming massless particles, where the one particle distribution function is defined in terms of a function of a single variable. The evolution of…

High Energy Physics - Phenomenology · Physics 2016-11-25 Esteban Calzetta
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