Causal theory of relativistic dissipative hydrodynamics

Denicol, Gabriel S.; Kodama, Takeshi; Koide, T.; Mota, Ph.

doi:10.1590/s0103-97332007000600023

Cited by 7 publications

(6 citation statements)

References 23 publications

(48 reference statements)

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“…Here, we will outline a short summary of a closely related approach, the causal dissipative hydrodynamics, developed by Koide et al (2007a, b), Koide and Kodama (2008), Denicol et al (2007aDenicol et al ( , b, c, 2008Denicol et al ( , 2009) and Kodama et al (2007), which have paid special attention to some of the problems arising in relativistic hydrodynamics of nuclear collisions. In Sect.…”

Section: Causal Dissipative Hydrodynamicsmentioning

confidence: 99%

Thermodynamics of Fluids Under Flow

Jou

Casas-Vázquez

Criado-Sancho

2011

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Section: Causal Dissipative Hydrodynamicsmentioning

confidence: 99%

Thermodynamics of Fluids Under Flow

Jou

Casas-Vázquez

Criado-Sancho

2011

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“…heat conductivity, bulk and shear viscosity). Even though 2nd order theory is formulated some 30 years back, significant progress towards its numerical implementation has only been made very recently [14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33]. At the Cyclotron Centre, Kolkata, we have developed a code "AZHYDRO-KOLKATA" to simulate the hydrodynamic evolution of QGP fluid including the effect of dissipation due to shear viscosity only.…”

Section: Introductionmentioning

confidence: 99%

Nearly perfect fluid in Au + Au collisions at RHIC

Chaudhuri

2009

Physics Letters B

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In the Israel-Stewart's theory of dissipative hydrodynamics, we have analysed the STAR data on $\phi$ meson production in Au+Au collisions at $\sqrt{s}$=200 GeV. From a simultaneous fit to $\phi$ mesons multiplicity, mean $p_T$ and integrated $v_2$, we obtain a phenomenological estimate of QGP viscosity, $\eta/s =0.07 \pm 0.03 \pm 0.14$, the first error is due to the experimental uncertainty in STAR measurements, the second reflects the uncertainties in initial and final conditions of the fluid.Comment: 5 pages, 6 figures. Version accepted for publication in Phys. Lett.

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“…There are several representations for the second order terms. For example, the theory of the conformal fluid [181], Israel-Stewart (IS) theory [171,172] and others [173].…”

Section: Discussionmentioning

confidence: 99%

Origin and dynamics of the Primordial Magnetic field in a parity violating plasma

Pandey¹

2017

Preprint

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The Universe is magnetized on all scales that we have observed so far: stars, galaxies, cluster of galaxies etc. Recent observations indicates that typical magnetic field strength in a galaxy or a galaxy-cluster can have is about a few µG and its coherent length is around ten kpc. Recent observations suggest that the intergalactic medium (IGM) have magnetic field in the range of (10 −16 − 10 −9 ) G with the coherent length scales around Mpc. Though it might be possible to explain the observed magnetic field of the galaxies and stars by some kind of astrophysical process, it is hard to explain the observed magnetic field of an IGM void. There exists an intriguing possibility of relating the origin of these large scale magnetic fields with some high-energy process in the early Universe.Thus it is of great interests to study the origin, dynamics and constraints on the magnetic field generated by such mechanism. This forms the prime focus of this thesis which considers the above problem in the context of a high-energy parity violating plasma.In recent times there has been considerable interest in studying the magnetic field evolution in high-energy parity violating plasma. It is argued that there can be more right-handed particles over left-handed particles due to some process in the early Universe at temperatures T very much higher than the electroweak phase transition (EWPT) scale (T ∼100GeV). Their number is effectively conserved at the energy scales much above the electroweak phase transitions and this allows one to introduce the chiral chemical potentials µ R (µ L ). However , at temperature lower than T ∼ 80 TeV processes related with the electron chirality flipping may dominate over the Hubble expansion rate and the chiral chemical potentials can not be defined. Further the right handed current is not conserved due to the Abelian anomaly in the standard model (SM) and it is the number density of the right handed particles are related with the helicity of the fields as ∂ τ (∆µ + α 2 π H B ) = 0. (Here ∆µ, α 2 and H B represents the chiral chemical imbalance, fine structure constant and magnetic helicity respectively). Therefore even if initially when there is no magnetic field, a magnetic field can be generated at the cost of the asymmetry in the number density of the left and right handed hydrodynamics. Using first order conformal hydro, we obtained previously derived modes in the chiral plasma. However we show in addition that these modes get split into two modes in presence of the first order viscous term. By using second order conformal magnetohydrodynamics, we show that there are a series of terms in the dispersion relation and these terms are in accordance with the results obtained using AdS/CFT correspondence. We also calculated one of the transport coefficients related with the second order magnetohydrodynamics.

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Causal theory of relativistic dissipative hydrodynamics

Cited by 7 publications

References 23 publications

Thermodynamics of Fluids Under Flow

Thermodynamics of Fluids Under Flow

Nearly perfect fluid in Au + Au collisions at RHIC

Origin and dynamics of the Primordial Magnetic field in a parity violating plasma

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