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In the initial stage of relativistic heavy-ion collisions, strong magnetic fields appear due to the large velocity of the colliding charges. The evolution of these fields appears as a novel and intriguing feature in the fluid-dynamical…

Nuclear Theory · Physics 2016-06-03 Victor Roy , Shi Pu , Luciano Rezzolla , Dirk Rischke

In this study, we investigate the impact of the magnetic field on the evolution of the transverse flow of QGP matter in the magneto-hydrodynamic (MHD) framework. We assume that the magnetic field is perpendicular to the reaction plane and…

High Energy Physics - Phenomenology · Physics 2019-12-03 M. Haddadi Moghaddam , B. Azadegan , A. F. Kord , W. M. Alberico

We study anomalous magnetohydrodynamics in a longitudinal boost invariant Bjorken flow with constant anisotropic electric conductivities as outlined in Ref. [1]. For simplicity, we consider a neutral fluid and a force-free magnetic field in…

High Energy Physics - Phenomenology · Physics 2021-02-03 Ren-jie Wang , Patrick Copinger , Shi Pu

We investigate the magnetohydrodynamics in the presence of an external magnetic field following the power-law decay in proper time and having spatial inhomogeneity characterized by a Gaussian distribution in one of transverse coordinates…

Nuclear Theory · Physics 2016-04-20 Shi Pu , Di-Lun Yang

In this work, we study the 1+1 longitudinal acceleration expansion of hot and dense quark matter as a conducting relativistic fluid with the electric conductivity $\sigma$. The plasma has embedded in the presence of electric and magnetic…

Nuclear Theory · Physics 2020-11-11 A. F. Kord , A. Ghaani , M. Haddadi Moghaddam

We argue that the existence of an inhomogeneous external magnetic field can lead to radial flow in transverse plane. Our aim is to show how the introduction of a magnetic field generalizes the Bjorken flow. We investigate the effect of an…

Nuclear Theory · Physics 2019-12-03 M. Haddadi Moghaddam , B. Azadegan , A. F. Kord , W. M. Alberico

In the context of the longitudinally boost-invariant Bjorken flow with transverse expansion, we use three different numerical methods to analyze the emergence of attractor solutions in an ideal gas of massless particles exhibiting constant…

Nuclear Theory · Physics 2021-12-21 Victor E. Ambrus , Sergiu Busuioc , Jan A. Fotakis , Kai Gallmeister , Carsten Greiner

Due to the absence of a transverse expansion with respect to the beam direction, the Bjorken flow is unable to describe certain observables in heavy ion collisions. This caveat has motivated the introduction of analytical relativistic…

High Energy Physics - Phenomenology · Physics 2019-09-30 M. Shokri , N. Sadooghi

We have derived the solutions of the relativistic anomalous magnetohydrodynamics with longitudinal Bjorken boost invariance and transverse electromagnetic fields in the presence of temperature or energy density dependent electric…

High Energy Physics - Phenomenology · Physics 2023-05-24 Hao-Hao Peng , Sihao Wu , Ren-jie Wang , Duan She , Shi Pu

We review the recent developments of analytic solutions in transverse magneto-hydrodynamics under Bjorken expansion. It is found that the time dependence of magnetic fields can either increase or reduce the energy density depending on the…

High Energy Physics - Phenomenology · Physics 2016-11-16 Shi Pu , Di-Lun Yang

Motivated by the recently found realization of the $1+1$ dimensional Bjorken flow in ideal and nonideal relativistic magnetohydrodynamics (MHD), we use appropriate symmetry arguments, and determine the evolution of magnetic fields arising…

Nuclear Theory · Physics 2018-12-26 M. Shokri , N. Sadooghi

We derive the equations of motion of relativistic magnetohydrodynamics from the Boltzmann equation using the method of moments. We consider a locally electrically neutral system composed of two particle species with opposite charges, with…

High Energy Astrophysical Phenomena · Physics 2026-02-25 Khwahish Kushwah , Gabriel Silveria Denicol

We study 1+1 dimensional relativistic non-resistive magnetohydrodynamics (MHD) with longitudinal boost invariance and shear stress tensor. Several analytical solutions that describe the fluid temperature evolution under the equation of…

Nuclear Theory · Physics 2024-11-19 Ze-Fang Jiang , Shuo-Yan Liu , Tian-Yu Hu , Huang-Jing Zheng , Duan She

We derive the equations of motion of relativistic magnetohydrodynamics, as well as microscopic expressions for all of its transport coefficients, from the Boltzmann equation using the method of moments. In contrast to reference Phys. Rev. D…

Nuclear Theory · Physics 2024-05-24 Khwahish Kushwah , Gabriel S. Denicol

Magnetohydrodynamics is a theory of long-lived, gapless excitations in plasmas. It was argued from the point of view of fluid with higher-form symmetry that magnetohydrodynamics remains a consistent, non-dissipative theory even in the limit…

High Energy Physics - Theory · Physics 2019-11-14 Bartosz Benenowski , Napat Poovuttikul

This study investigates the evolution of quark gluon plasma (QGP) within a generalized Bjorken flow framework. The medium under consideration is assumed to possess a finite transverse size and to expand both radially and along the beam…

Nuclear Theory · Physics 2023-08-22 M. Karimabadi , A. F. Kord , B. Azadegan

We have studied the relativistic Kelvin circulation theorem for ideal Magnetohydrodynamics. The relativistic Kelvin circulation theorem is a conservation equation for the called $T$-vorticity. We have briefly reviewed the ideal…

Nuclear Theory · Physics 2020-08-19 Jianfei Wang , Shi Pu

I present a solution to the full Einstein-fluid equations representing a self-gravitating Bjorken flow. The motion and the geometry become inhomogeneous in the plane transversal to the flow and the energy density profile acquires, due to…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Alexander Feinstein

Relativistic heavy-ion collisions generate ultra-strong magnetic fields that interact with the quark-gluon plasma (QGP), a key focus of high-energy physics research.This study investigates QGP energy density evolution under time-dependent…

Nuclear Theory · Physics 2026-03-31 Huang-Jing Zheng , Sheng-Qin Feng

Carter and Lichnerowicz have established that barotropic fluid flows are conformally geodesic and obey Hamilton's principle. This variational approach can accommodate neutral, or charged and poorly conducting, fluids. We show that, unlike…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Charalampos Markakis , Kōji Uryū , Eric Gourgoulhon , Jean-Philippe Nicolas , Nils Andersson , Athina Pouri , Vojtech Witzany
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