Dielectric Properties of Deuterated Cesium Dihydrogen Phosphate Crystal

Modified two sublattice pseudospin lattice coupled-mode model Hamiltonian has been applied to study the dielectric properties of deuterated cesium dihydrogen phosphate crystal. With the help of model Hamiltonian and Green’s function theory, the theoretical expressions for normal mode frequency, dielectric constant and loss tangent are derived. By fitting the model values of different physical parameters, the thermal dependence of the above quantities has been calculated. Our theoretical obtained results are well compared with experimental data.

Ferroelectric Effect Investigation in Some Lead Hydrogen Phosphate Type Crystal

The formulae to describe ferroelectric effect in PbHPO4 (Lead Hydrogen Phosphate) type crystal are derived. For its simple modified model is used. Simple Green Function formalism is used for derivation numerically thermal variations of normal mode frequency (which brings ferroelectric effect) is obtained anomalous dielectric constant and spontaneous polarization are numerically calculated for PbHSO4 of example for different temperatures. Experimental data are matched with our values. Agreement is found good.

On the normal-mode frequency spectrum of kinetic magnetohydrodynamics

This paper presents an explicit proof that, in the kinetic magnetohydrodynamics framework, the squared frequencies of normal-mode perturbations about a static equilibrium are real. This proof is based on a quadratic form for the square-integrable normal-mode eigenfunctions and does not rely on demonstrating operator self-adjointness. The analysis is consistent with the quasineutrality condition without involving any subsidiary constraint to enforce it, and does not require the assumption that all particle orbits be periodic. It applies to Maxwellian equilibria, spatially bounded by either a rigid conducting wall or by a plasma-vacuum interface where the density goes continuously to zero.

ONE-LOOP CORRECTION TO ENERGY OF SPINNING STRINGS IN AdS5×T1, 1

We consider circular spinning string solutions in AdS5×T1, 1 and calculate the quantum corrections to the energy at one-loop on worldsheet. The fluctuations are given as a set of harmonic oscillators and we calculate their normal mode frequency in closed form. The sum of frequency is equal to the one-loop string energy, which through AdS/CFT correspondence corresponds to the leading order correction of the conformal dimension for long operators in Klebanov–Witten conifold gauge field theory.