Second-order electron mass dispersion relation at finite temperature. II.

1992 ◽  
Vol 46 (12) ◽  
pp. 5633-5647 ◽  
Author(s):  
Mahnaz Qader ◽  
Samina S. Masood ◽  
K. Ahmed
Keyword(s):  
Dispersion Relation ◽  
Finite Temperature ◽  
Second Order ◽  
Electron Mass ◽  
Mass Dispersion

Second-order electron mass dispersion relation at finite temperature

1991 ◽  
Vol 44 (10) ◽  
pp. 3322-3327 ◽  
Author(s):  
Mahnaz Qader ◽  
Samina S. Masood ◽  
K. Ahmed
Keyword(s):  
Dispersion Relation ◽  
Finite Temperature ◽  
Second Order ◽  
Electron Mass ◽  
Mass Dispersion

scholarly journals SECOND-ORDER CORRECTIONS TO THE MAGNETIC MOMENT OF ELECTRON AT FINITE TEMPERATURE

2012 ◽  
Vol 27 (32) ◽  
pp. 1250188 ◽  
Author(s):  
SAMINA S. MASOOD ◽  
MAHNAZ Q. HASEEB
Keyword(s):  
Magnetic Moment ◽  
Finite Temperature ◽  
Heat Bath ◽  
Second Order ◽  
The Self ◽  
Electron Mass ◽  
Temperature Dependent ◽  
Primordial Nucleosynthesis ◽  
Physical Mass ◽  
The Magnetic Field

Magnetic moment of electron at finite temperature is directly related to the modified electron mass in the background heat bath. Magnetic moment of electron gets modified at finite temperature also, when it couples with the magnetic field, through its temperature-dependent physical mass. We show that the second-order corrections to the magnetic moment of electron is a complicated function of temperature. We calculate the self-mass induced thermal contributions to the magnetic moment of electron, up to the two-loop level, for temperatures valid around the era of primordial nucleosynthesis. A comparison of thermal behavior of the magnetic moment is also quantitatively studied in detail, around the temperatures below and above the nucleosynthesis temperature.

Calculation of the Ion Optical Properties of Inhomogeneous Magnetic Sector Fields Part 3: Oblique Incidence and Exit at Curved Boundaries

1959 ◽  
Vol 14 (9) ◽  
pp. 822-827 ◽  
Author(s):  
H. A. Tasman ◽  
A. J. H. Boerboom ◽  
H. Wachsmuth
Keyword(s):  
Oblique Incidence ◽  
Normal Incidence ◽  
Second Order ◽  
Resolving Power ◽  
High Mass ◽  
Curved Boundaries ◽  
Magnetic Sector ◽  
Mass Resolving Power ◽  
Mass Dispersion ◽  
Fringing Fields

In previous papers 1.2we presented the radial second order imaging properties of inhomogeneous magnetic sector fields with normal incidence and exit at plane boundaries. These fields may provide very high mass resolving power and mass dispersion without increase in radius or decrease of slit widths. In the present paper the calculations are extended to include the effect of oblique incidence and exit at curved boundaries. The influence of the fringing fields on axial focusing when the boundaries are oblique, is accounted for. It is shown that the second order angular aberration may Le eliminated by appropriate curvature of the boundaries.

scholarly journals SECOND-ORDER CORRECTIONS TO QED COUPLING AT LOW TEMPERATURE

2008 ◽  
Vol 23 (29) ◽  
pp. 4709-4719 ◽  
Author(s):  
SAMINA S. MASOOD ◽  
MAHNAZ HASEEB
Keyword(s):  
Low Temperatures ◽  
Vacuum Polarization ◽  
Second Order ◽  
Electromagnetic Properties ◽  
Electron Mass ◽  
Polarization Tensor ◽  
Coupling Constant ◽  
Electric Permittivity ◽  
Thermal Medium ◽  
Vacuum Polarization Tensor

We calculate the second-order corrections to vacuum polarization tensor of photons at low temperatures, i.e. T ≪ 1010 K (T ≪ me). The thermal contributions to the QED coupling constant are evaluated at temperatures below the electron mass that is T < me. Renormalization of QED at these temperatures has explicitly been checked. The electromagnetic properties of such a thermal medium are modified. Parameters like electric permittivity and magnetic permeability of such a medium are no more constant and become functions of temperature.

Helicon waves in a cylindrical plasma

1999 ◽  
Vol 77 (5) ◽  
pp. 385-391
Author(s):  
M Shoucri
Keyword(s):  
Dispersion Relation ◽  
Coupling Mechanism ◽  
Electron Mass ◽  
Cylindrical Plasma ◽  
Bounded Plasma ◽  
Helicon Waves

The dispersion relation for helicon waves in a uniform bounded plasma is derived by including the finite electron mass. The eigenmodes are identified and the coupling mechanism between the Ez and Bz modes is discussed. This is important since an essential part of the physics associated with the application of helicon waves for the generation and heating of plasmas consists in coupling the whistler branch with the Ez mode, which can interact directly with the electrons.PACS No.: 52.35-g

scholarly journals Beyond second-order convergence in simulations of magnetized binary neutron stars with realistic microphysics

2019 ◽  
Vol 490 (3) ◽  
pp. 3588-3600 ◽  
Author(s):  
E R Most ◽  
L Jens Papenfort ◽  
L Rezzolla
Keyword(s):  
Neutron Stars ◽  
Fourth Order ◽  
Finite Temperature ◽  
Equations Of State ◽  
Magnetic Energy ◽  
Second Order ◽  
Conservative Finite Difference Scheme ◽  
Order Scheme ◽  
Convergence Orders ◽  
The Impact

ABSTRACT We investigate the impact of using high-order numerical methods to study the merger of magnetized neutron stars with finite-temperature microphysics and neutrino cooling in full general relativity. By implementing a fourth-order accurate conservative finite-difference scheme we model the inspiral together with the early post-merger and highlight the differences to traditional second-order approaches at the various stages of the simulation. We find that even for finite-temperature equations of state, convergence orders higher than second order can be achieved in the inspiral and post-merger for the gravitational-wave phase. We further demonstrate that the second-order scheme overestimates the amount of proton-rich shock-heated ejecta, which can have an impact on the modelling of the dynamical part of the kilonova emission. Finally, we show that already at low resolution the growth rate of the magnetic energy is consistently resolved by using a fourth-order scheme.

DAMPING OF ULTRASOFT FERMIONS IN FINITE TEMPERATURE QED

2007 ◽  
Vol 22 (12) ◽  
pp. 903-914 ◽  
Author(s):  
A. ABADA ◽  
K. BOUAKAZ ◽  
D. DEGHICHE
Keyword(s):  
Finite Temperature ◽  
Second Order ◽  
External Momentum ◽  
Hard Thermal Loop ◽  
Gauge Fixing ◽  
Covariant Gauge

We calculate the fermion damping rates to second order in powers of the external momentum in the context of QED at finite temperature using the hard-thermal-loop summation scheme. We find the coefficients of zeroth and first orders finite whereas that of second-order logarithmically infrared sensitive. The calculation is done in covariant gauge and the result is independent of gauge fixing.

Two-loop vacuum polarization in QED at finite temperature

2015 ◽  
Vol 30 (34) ◽  
pp. 1550198
Author(s):  
Mahnaz Q. Haseeb ◽  
Samina S. Masood
Keyword(s):  
Finite Temperature ◽  
Vacuum Polarization ◽  
Renormalization Scheme ◽  
Point Of View ◽  
Electromagnetic Properties ◽  
Electron Mass ◽  
Debye Screening Length ◽  
Coupling Constant ◽  
Self Energy ◽  
Time Formalism

The self-energy of photons at finite temperature is presented, up to the two-loop corrections, using the real-time formalism. The renormalized coupling constant has been derived in a form that is relevant for all the temperature ranges of interest in QED, specifically for the temperatures around [Formula: see text], where [Formula: see text] is the electron mass. Finite temperature modification mainly comes through the hot fermions when [Formula: see text]. We use the calculations for the vacuum polarization to determine the dynamically generated mass of the photon, Debye screening length, and plasma frequency up to order [Formula: see text] as well as the electromagnetic properties of the background medium in the temperature range [Formula: see text]. At higher temperatures, the existing renormalization scheme does not work well because of the increase in the coupling constant. To exactly determine the validity of the renormalization scheme, the higher order calculations are required. The temperature, [Formula: see text], is of specific interest from the point of view of the early universe. Such calculations have also recently acquired significance due to the possibility of producing electron–positron plasma in the laboratory.

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