Local electric current correlation function in an exponentially decaying magnetic field

Sadooghi, N.; Taghinavaz, F.

doi:10.1103/physrevd.85.125035

Cited by 16 publications

(13 citation statements)

References 61 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(IV. 35) In appendix B, the analytical expression for ∆ B arising from LLL is presented. Let us notice that the above results for ∆ B are invariant under B → −B.…”

Section: Final Analytical Results For ∆ Bmentioning

confidence: 99%

See 1 more Smart Citation

Dilepton production rate in a hot and magnetized quark–gluon plasma

Sadooghi

Taghinavaz

2017

Annals of Physics

Self Cite

View full text Add to dashboard Cite

The differential multiplicity of dileptons in a hot and magnetized quark-gluon plasma, ∆ B ≡ dN B /d 4 xd 4 q, is derived from first principles. The constant magnetic field B is assumed to be aligned in a fixed spatial direction. It is shown that the anisotropy induced by the B field is mainly reflected in the general structure of photon spectral density function. This is related to the imaginary part of the vacuum polarization tensor, Im[Π µν ], which is derived in a first order perturbative approximation. As expected, the final analytical expression for ∆ B includes a trace over the product of a photonic part, Im[Π µν ], and a leptonic part, L µν . It is shown that ∆ B consists of two parts, ∆ B and ∆ ⊥ B , arising from the components (µ, ν) = ( , ) and (µ, ν) = (⊥, ⊥) of Im[Π µν ] and L µν . Here, the transverse and longitudinal directions are defined with respect to the direction of the B field. Combining ∆ B and ∆ ⊥ B , a novel anisotropy factor ν B is introduced. Using the final analytical expression of ∆ B , the possible interplay between the temperature T and the magnetic field strength eB on the ratio ∆ B /∆ 0 and ν B is numerically studied. Here, ∆ 0 is the Born approximated dilepton multiplicity in the absence of external magnetic fields. It is, in particular, shown that for each fixed T and B, in the vicinity of certain threshold energies of virtual photons, ∆ B ≫ ∆ 0 and ∆ ⊥ B ≫ ∆ B . The latter anisotropy may be interpreted as one of the microscopic sources of the macroscopic anisotropies, reflecting themselves, e.g., in the elliptic asymmetry factor v 2 of dileptons. 1 eB = 1 GeV 2 corresponds to B ≃ 1.7 × 10 20 Gauß. 2 See, e.g. [12,13] for a complete analysis of the effect of strong magnetic fields on various phases of quark matters, including chiral and color superconducting phases. See also [14] for the most recent review of the effects induced by magnetic catalysis [15,16] and inverse magnetic catalysis [17] on QCD phase diagram. 3 Studying the effect of hot magnetized plasminos on DPR is rather involved, and will be postponed to our future works.

show abstract

“…(IV. 35) In appendix B, the analytical expression for ∆ B arising from LLL is presented. Let us notice that the above results for ∆ B are invariant under B → −B.…”

Section: Final Analytical Results For ∆ Bmentioning

confidence: 99%

“…µ = (0, 0, Bx 1 , 0), with B > 0. As it is shown in [35,36] for a one-flavor system and in [19,20,25] for a multi-flavor system, (II.1) is solved by making use of the ansatz…”

Section: Magnetized Fermions In a Qed Plasma At Zero Temperaturementioning

confidence: 99%

Dilepton production rate in a hot and magnetized quark–gluon plasma

Sadooghi

Taghinavaz

2017

Annals of Physics

Self Cite

View full text Add to dashboard Cite

show abstract

“…Moreover, as it is shown in [22][23][24], the Ritus momentum for a particle with charge q is given bỹ (II.3) with κ = ±1 for positive and negative frequency solutions, n labeling the Landau levels in the external magnetic field, and s q ≡ sgn(qeB). In this paper, we assume eB > 0.…”

Section: A Fermions In a Constant Magnetic Fieldmentioning

confidence: 99%

“…In this paper, we assume eB > 0. Following the method presented in [22][23][24], the Ritus eigenfunctions E (q) n,κ , κ = ±1 are given by…”

Section: A Fermions In a Constant Magnetic Fieldmentioning

confidence: 99%

Wigner function formalism and the evolution of thermodynamic quantities in an expanding magnetized plasma

Tabatabaee

Sadooghi

2020

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

By combining the Wigner function formalism of relativistic quantum kinetic theory with fundamental equations of relativistic magnetohydrodynamics (MHD), we present a novel approach to determine the proper time evolution of the temperature and other thermodynamic quantities in a uniformly expanding hot, magnetized, and weakly interacting plasma. The aim is to study the contribution of quantum corrections to this evolution. We first determine the corresponding Wigner function in terms of the solution of the Dirac equation in the presence of a constant magnetic field. Using this function, we then compute the energy-momentum tensor of the above-mentioned plasma, which eventually yields its energy density and pressure. Plugging these quantities in the energy equation of relativistic MHD, we arrive, after choosing an appropriate coordinate system, at a differential equation for the temperature as a function of the proper time. The numerical solution of this equation leads finally to the proper time evolution of the temperature. The latter is then used to determine the evolution of a large number of thermodynamic quantities in this expanding and magnetized plasma. We compare our results with other existing results from relativistic MHD. We also comment on the effect of point to point decaying magnetic fields on the thermodynamic properties of this plasma.

show abstract

“…1 Physical model and coordinate system researchers in magnetohydrodynamics, as elaborated by Yakovlev et al (2013) who have also adopted exponential magnetic field relations. Sadooghi and Taghinavaz (2012) have also explained the validity of employing exponentially decaying functions of magnetic field. Exponential decay in thermal conductivity has also been related to energy transport in nanomaterials, as elaborated by Wang (2012).…”

Section: Mathematical Modelmentioning

confidence: 99%

Explicit numerical study of unsteady hydromagnetic mixed convective nanofluid flow from an exponentially stretching sheet in porous media

Bég¹,

Khan

Karim

et al. 2013

Appl Nanosci

View full text Add to dashboard Cite

A numerical investigation of unsteady magnetohydrodynamic mixed convective boundary layer flow of a nanofluid over an exponentially stretching sheet in porous media, is presented. The transformed, non-similar conservations equations are solved using a robust, explicit, finite difference method (EFDM). A detailed stability and convergence analysis is also conducted. The regime is shown to be controlled by a number of emerging thermophysical parameters i.e. combined porous and hydromagnetic parameter (R), thermal Grashof number (G r ), species Grashof number (G m ), viscosity ratio parameter (K), dimensionless porous media inertial parameter (r), Eckert number (E c ), Lewis number (L e ), Brownian motion parameter (N b ) and thermophoresis parameter (N t ). The flow is found to be accelerated with increasing thermal and species Grashof numbers and also increasing Brownian motion and thermophoresis effects. However, flow is decelerated with increasing viscosity ratio and combined porous and hydromagnetic parameters. Temperatures are enhanced with increasing Brownian motion and thermophoresis as are concentration values. With progression in time the flow is accelerated and temperatures and concentrations are increased. EFDM solutions are validated with an optimized variational iteration method. The present study finds applications in magnetic nanomaterials processing.

show abstract

Local electric current correlation function in an exponentially decaying magnetic field

Cited by 16 publications

References 61 publications

Dilepton production rate in a hot and magnetized quark–gluon plasma

Dilepton production rate in a hot and magnetized quark–gluon plasma

Wigner function formalism and the evolution of thermodynamic quantities in an expanding magnetized plasma

Explicit numerical study of unsteady hydromagnetic mixed convective nanofluid flow from an exponentially stretching sheet in porous media

Contact Info

Product

Resources

About