Magnetic field in expanding quark-gluon plasma

Stewart, Evan; Tuchin, Kirill

doi:10.1103/physrevc.97.044906

Cited by 36 publications

(31 citation statements)

References 66 publications

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“…However, almost all of these hydrodynamics model studies have so far ignored the effect of a large magnetic field on the fluid evolution, hence, the extracted values of shear viscosity are probably not as precise as is usually claimed. Only in the recent year's people finally start investigating the effect of magnetic field on QGP evolution [30][31][32][33][34][35][36][37][38][39][40][41]. In addition to that theoretical efforts are going * payal.mohanty@gmail.com † ashutosh.dash@niser.ac.in ‡ victor@niser.ac.in on to better understand the relativistic magnetohydrodynamics from first principle calculations, for example the formulation of relativistic non-resistive dissipative magnetohydrodynamics from a kinetic theory approach can be found in [42], and some application to astrophysical problems is described in [43], the calculation of transport coefficients in magnetic field using Kubo formula was investigated in [44].…”

Section: Introductionmentioning

confidence: 99%

One particle distribution function and shear viscosity in magnetic field: A relaxation time approach

2019

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We calculate the δf correction to the one particle distribution function in presence of magnetic field and non-zero shear viscosity within the relaxation time approximation. The δf correction is found to be electric charge dependent. Subsequently, we also calculate one longitudinal and four transverse shear viscous coefficients as a function of dimensionless Hall parameter χH in presence of the magnetic field. We find that a proper linear combination of the shear viscous coefficients calculated in this work scales with the result obtained from Grad's moment method in [42]. Calculation of invariant yield of π − in a simple Bjorken expansion with cylindrical symmetry shows no noticeable change in spectra due to the δf correction for realistic values of the magnetic field and relaxation time. However, when transverse expansion is taken into account using a blast wave type flow field we found noticeable change in spectra and elliptic flow coefficients due to the δf correction. The δf is also found to be very sensitive on the magnitude of magnetic field. Hence we think it is important to take into account the δf correction in more realistic numerical magnetohydrodynamics simulations.

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Section: Introductionmentioning

confidence: 99%

One particle distribution function and shear viscosity in magnetic field: A relaxation time approach

2019

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“…whereǭ 0 is an arbitrary integration constant. 11 Alternatively, we may use (C.18) for ǫ(τ ). By the magic of symmetries, the energy density and pressure automatically satisfy the Euler equation.…”

Section: A Gubser Flow and Its Symmetriesmentioning

confidence: 99%

“…We also studied the effects of electromagnetic fields on the evolution of QGP temperature. Other attempts to study the effects of magnetic fields on the properties of the QGP created at the RHIC and LHC, and, in particular, to determine their lifetime are made in [11].…”

Section: Introductionmentioning

confidence: 99%

Evolution of magnetic fields from the 3 + 1 dimensional self-similar and Gubser flows in ideal relativistic magnetohydrodynamics

Shokri

Sadooghi

2018

J. High Energ. Phys.

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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 from the 3 + 1 dimensional self-similar and Gubser flows in an infinitely conductive relativistic fluid (ideal MHD). In the case of the 3 + 1 dimensional self-similar flow, we arrive at a family of solutions, that are related through a differential equation arising from the corresponding Euler equation. To find the magnetic field evolution from the Gubser flow, we solve the MHD equations of a stationary fluid in a conformally flat dS 3 ×E 1 spacetime. The results are then Weyl transformed back into the Minkowski spacetime. In this case, the temporal evolution of the resulting magnetic field is shown to exhibit a transition between an early time 1/t decay to a 1/t 3 decay at a late time. Here, t is the time coordinate. Transverse and longitudinal components of the magnetic fields arising from these flows are also found. The latter turns out to be sensitive to the transverse size of the fluid. In contrast to the result arising from the Gubser flow, the radial domain of validity of the magnetic field arising from the self-similar flow is highly restricted. A comparison of the results suggests that the (conformal) Gubser MHD may give a more appropriate qualitative picture of the magnetic field decay in the plasma of quarks and gluons created in heavy ion collisions. PACS numbers: 12.38.Mh, 47.75.+f, 52.27.Ny, 52.30.Cv * m shokri@physics.sharif.ir † sadooghi@physics.sharif.ir 1 Here, e is the electric charge and mπ ∼ 140 MeV the pion mass.

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“…The quarkgluon plasma produced in heavy-ion collisions is subject to the external magnetic field induced by the spectator valence charges [4,[8][9][10][11][12][13][14][15][16][17]. The time dependence of this field is quite complicated.…”

Section: Application To Heavy-ion Collisionsmentioning

confidence: 99%

“…A phenomenological manifestation of the CME is separation of positive and negative electric charges along the magnetic field direction [4]. In relativistic heavy-ion collisions, electric charges in quark-gluon plasma (QGP) separate along the direction of the external magnetic field created by the spectator valence quarks [4,[8][9][10][11][12][13][14][15][16][17]. There are several phenomenological approaches that link this effect to the experimental data [18,19].…”

Section: Introductionmentioning

confidence: 99%

Impact of domain walls on the chiral magnetic effect in hot QCD matter

Tuchin

2018

Phys. Rev. C

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The chiral magnetic effect (CME)-the separation of positive and negative electric charges along the direction of the external magnetic field in quark-gluon plasma and other topologically nontrivial media-is a consequence of the coupling of electrodynamics to the topological gluon field fluctuations that form metastable CP -odd domains. In phenomenological models it is usually assumed that the domains are uniform and the influence of the domain walls on the electric current flow is not essential. This article challenges the latter assumption. A simple model consisting of a uniform spherical domain in a uniform time-dependent magnetic field is introduced and analytically solved. It is shown that (i) no electric current flows into or out of the domain; (ii) the charge separation current, viz. the total electric current flowing inside the domain in the external field direction, is a dissipative Ohm current; (iii) the CME effect can be produced either by the anomalous current or by the boundary conditions on the domain wall; and (iv) the charge separation current oscillates in plasma long after the external field decays. These properties are qualitatively different from the CME in an infinite medium.

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Magnetic field in expanding quark-gluon plasma

Cited by 36 publications

References 66 publications

One particle distribution function and shear viscosity in magnetic field: A relaxation time approach

One particle distribution function and shear viscosity in magnetic field: A relaxation time approach

Evolution of magnetic fields from the 3 + 1 dimensional self-similar and Gubser flows in ideal relativistic magnetohydrodynamics

Impact of domain walls on the chiral magnetic effect in hot QCD matter

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