The numerical dispersion relation that governs the propagation of fields in a finite-difference time-domain (FDTD) grid was derived several years ago. In this paper a different interpretation is given for the governing equation. It is shown that the dispersion relation predicts fasterthan-light propagation for coarsely resolved fields. Additionally, some spectral components that were previously...

The longitudinal response function for an isotropic, nonrelativistic, thermal plasma with the quantum recoil included exactly is used to generalize the dispersion relation for ion acoustic waves and the absorption coefficient for Landau damping to include the quantum recoil. The results are compared to recent treatment of the dispersion relation derived using a fluid theory with the quantum eff...

Citation: Shirakata H, Kawaguchi T, Okamoto T and Ishiyama T (2017) Theoretical Re-evaluations of Scaling Relations between SMBHs and Their Host Galaxies–2. Importance of AGN Feedback Suggested by Stellar Age–Velocity Dispersion Relation. Front. Astron. Space Sci. 4:13. doi: 10.3389/fspas.2017.00013 Theoretical Re-evaluations of Scaling Relations between SMBHs and Their Host Galaxies–2. Importa...

We calculate the finite temperature self-energy for neutrinos in the presence of a constant magnetic field in a medium in the unbroken SU(2) ⊗ U(1) model. We obtain the exact dispersion relation for such neutrinos and find that the thermal effective mass is modified by the magnetic field. We also find a simple analytic expression for the dispersion relation and obtain the index of refraction fo...

The eigenvalues of the quartic anharmonic oscillator as functions of the anharmonicity constant satisfy a once-subtracted dispersion relation. In turn, this dispersion relation is driven by the purely imaginary discontinuity of the eigenvalues across the negative real axis. In this paper we calculate explicitly the asymptotic expansion of this discontinuity up to second-exponentially-small orde...

The dispersion relation of the single hole in CuO2 plane is calculated in the self-consistent Born approximation for the thee-band Hamiltonian. We find that direct oxygen-oxygen hopping removes the strong anisotropy of the hole spectrum around the band minima. Our results compare well with recent photoemission measurements of single hole dispersion relation in the Sr2CuO2Cl2. PACS: 71.25.-s, 71...

The theory of electromagnetically induced transparency ~EIT! in a plasma @S. E. Harris, Phys. Rev. Lett. 77, 5357 ~1996!# is examined in the context of an infinite system. A new dispersion relation is derived which accounts for relativistic effects in an overdense plasma. Several branches of the dispersion relation are plotted and discussed. Particle simulations are used to confirm the findings...

Under very general assumptions we show that the quark dispersion relation in the quark-gluon plasma is given by two collective branches, of which one has a minimum at a nonvanishing momentum. This general feature of the quark dispersion relation leads to structures (van Hove singularities, gaps) in the low mass dilepton production rate, which might provide a unique signature for the quark-gluon...

We explore a possible connection between two aspects of Loop Quantum Gravity which have been extensively studied in the recent literature: the black-hole area-entropy law and the energymomentum dispersion relation. We observe that the original Bekenstein argument for the areaentropy law implicitly requires information on the energy-momentum dispersion relation. Recent results show that in first...

We have carried out the analytical and numerical analysis of metallic insets embedded in a dielectric photonic crystal (DPC). The corresponding one-dimensional metallo-dielectric photonic crystal (MDPC) is studied in relation to the substratum DPC. We describe the complex MDPC dispersion relation curves and the transmission coefficient at the different propagation regimens trough the finite sta...