Phonon dispersion for the bcc metals Mo and Cr

In this paper the phonon dispersion for the bcc metals Mo and Cr is calculated based on the pair potentials obtained from cohesive energies and the Slater-Kirkwood- type three body interaction. In the calculation of the pair potentials the Möbius transform in the number theory is used and the cohesive energy is evaluated by the LMTO method. The results show a good agreement with inelastic neutron scattering data and indicate that the three-body interaction is necessary to account for the phonon dispersion.     

A short range many-body potential for modelling bcc metals

The problem considered is the fitting of a many-body interaction potential to bulk crystal data. A parameterisation of the potential is assumed which is based on physical considerations. The free parameters are determined by using global optimization to perform a least squares fit, to a large number of crystal properties. This has been achieved for body centered cubic (bcc) materials. The approach adopted here fits the bcc crystal structure, as the preferred minimum energy configuration for tungsten, and also fits the dimer energetics and the elastic properties of crystalline tungsten.     

Treatment of bcc transition metals on a modified CGW model

The vibrational spectrum and specific heat of three bcc transition metals -iron, chromium and tungsten are computed on the basis of modified Clark-Gazis-Wallis angular force model which considers volume forces of Krebs' nature. The calculations are made using the Blackman's root sampling technique for a discrete subdivision in wave-vector space. The calculated lattice specific heats and the effective Debye temperatures are compared with the available experimental data. The results show a reasonably satisfactory agreement with the experimental observations.The authors are highly thankful to Dr.Jyoti Prakash, Dr. S.Chandra for helpful discussions. One of them (H. L. K.) is thankful to C. S. I. R. India for the award of J. R. F. The computational facilities received from the I. I. T. Kanpur are also acknowledged.     

Modified Cheveau model for the lattice waves in bcc metals: An application to phonon dispersion and Grüneisen parameter

The force model proposed in the preceeding paper for the fcc metals is further extended for the bcc lattice. The computed values of Grüneisen parameters and the phonon frequencies for potassium show a fairly good agreement with the experimental results.     

A simple analytical model for the Weibel instability in the non-relativistic regime

The Weibel instability is prompted by a temperature anisotropy within a plasma. We present an analytical model based on a non-relativistic two temperatures waterbag distribution function. The model is exactly solvable in terms of the stability condition, the growth rate for any wave vector and temperature parameters, the maximum growth rate and the wave number for which it is reached.     

A model pseudopotential and energy wave number characteristics of simple metals

A model pseudopotential for electron-ion interaction in simple metals is proposed. The screened form factors of the potential are presented for 25 simple metals. Using this model potential, the energy wave number characteristics for these metals are determined. For sodium, potassium and lead, the results are compared with the numbers obtained from the analysis of experimental phonon frequencies and other theoretical calculations.     

Peierls potential for crowdions in the bcc transition metals

We present the first derivation of the analytic expression for the Peierls-Nabarro potential for crowdion migration using the double sine-Gordon model. The analysis is guided by the group-specific trend in the shapes of the periodic lattice potentials calculated for the body-centered-cubic transition metals in groups 5B and 6B of the periodic table. We combine density-functional calculations of the crowdion's profile and environment with an extended version of the analytical Frenkel-Kontorova model, and determine the effective potential experienced by the defect's center of mass. This reveals important underlying differences between the metals in these groups, which are inaccessible to either the numerical or analytical approaches alone, and accounts for the previously unexplained significantly higher crowdion migration temperatures observed in the metals of group 6B relative to those of group 5B.     

Dislocation structure and deformation hardening of bcc metals

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 23–34, March, 1991.     

A simple analytical model of laser direct-drive thin shell target implosion

A high-neutron yield platform imploded by a thin shell target is generally built to probe nuclear science problems, and it has the advantages of high neutron yield, ultrashort fusion time, micro fusion zone, isotropic and monoenergetic neutron. Some analytical models have been proposed to interpret exploding-pusher target implosion driven by a long wavelength laser, whereas they are imperfect for a 0.35 μm laser implosion experiment. When using the 0.35 μm laser, the shell is ablated and accelerated to high implosion velocity governed by Newton's law, ablation acceleration and quasi-adiabatic compression models are suitable to explain the implosion of a laser direct-drive thin shell target. The new analytical model scales bang time, ion temperature and neutron yield for large variations in laser power, target radius, shell thickness, and fuel pressure. The predicted results of the analytical model are in agreement with experimental data on the Shenguang-III prototype laser facility, 100 kJ laser facility, Omega, and NIF, it demonstrates that the analytical model benefits the understanding of experiment performance and optimizing the target design of high neutron yield implosion.     

A simple model for SmS

A simple model based on the resonant scattering theory can explain the first-order semiconductor-to-metal transition accompanied by a change of valency in SmS.     

A model pseudopotential for noble metals

A simple model pseudopotential has been proposed for noble metals and used to calculate the form factor, band gap, liquid metal resistivity and phonon dispersion curves for gold. A reasonably good agreement is found between the computed and experimental results.     

Magnetotransport in simple metals. An exactly soluble model

The magnetoconductivity tensors of a metal with a weakly anisotropic Fermi surface are determined from analytic solutions to the Boltzmann equation without any restrictions on the magnitude of the cyclotron frequency compared to the collision rate. Results are given for both a two- and a three-dimensional model, the former being analytically simpler to handle. The Hall coefficient and magnetoresistance are obtained as functions of the magnetic field, and we show by explicit calculation how the thermoelectric coefficients at high magnetic fields are determined by the thermodynamic entropy.     

A simple analytical model of the angular momentum transformation in strongly focused light beams

A ray-optics model is proposed to describe the vector beam transformation in a strongly focusing optical system. In contrast to usual approaches based on the focused field distribution near the focal plane, we use the beam pattern formed immediately after the exit aperture. In this cross section, details of the output field distribution are of minor physical interest but proper allowance is made for transformation of the beam polarization state. This enables the spin and orbital angular momentum representations to be obtained, which are valid for any cross section of the transformed beam. Simple analytical results are available for a transversely homogeneous, circularly polarized incident beam confined by a circular aperture. Variations of the spin and orbital angular momenta of the output beam with change of the focusing strength are analyzed. The analytical results are in good qualitative and reasonable quantitative agreement with the results of numerical calculations performed for the Gaussian and Laguerre-Gaussian beams. The model supplies an efficient and physically transparent means for qualitative analysis of the spin-to-orbital angular momentum conversion. It can be generalized to incident beams with complex spatial and polarization structure.     

Ginzburg-Landau-type multiphase field model for competing fcc and bcc nucleation

We address crystal nucleation and fcc-bcc phase selection in alloys using a multiphase field model that relies on Ginzburg-Landau free energies of the liquid-fcc, liquid-bcc, and fcc-bcc subsystems, and determine the properties of the nuclei as a function of composition, temperature, and structure. With a realistic choice for the free energy of the fcc-bcc interface, the model predicts well the fcc-bcc phase-selection boundary in the Fe-Ni system.