Weak waves in vapor-gas mixtures with polydisperse particles and drops

2012 ◽  
Vol 9 (1) ◽  
pp. 159-161
Author(s):  
Yu.V. Fedorov

The propagation of plane, spherical and cylindrical waves in vapor-gas mixtures with polydisperse particles and drops when one of the fractions involved in the phase transformations is studied. Dispersion relation is obtained, dispersion curves are calculated. The effect of the polydispersity of particles and droplets on the dispersion and dissipation of small perturbations is analyzed.

2012 ◽  
Vol 9 (1) ◽  
pp. 162-164
Author(s):  
S.V. Khabirov

Distribution of plane, spherical and cylindrical waves in steam-gaseous mixes with unequigranular particles and drops when one of fractions participates in phase changes is studied. The dispersion ratio is received, dispersion curves are calculated. Influence of a polydispersity of particles and drops on dispersion and a dissipation of small indignations is analysed.


The problem of step motion during lateral growth in solid-solid phase transformations is re-examined. Results are obtained for the steady motion of an individual ledge when volume diffusion in the parent phase is the predominant contribution to the growth rate. A comparison is made between our results and the earlier work of Jones & Trivedi (1971). There are significant differences between the two sets of results particularly in the limit of small perturbations to the Laplacian diffusion field. To confirm the accuracy of the results presented here the calculations have been made by two different methods.


1975 ◽  
Vol 30 (4) ◽  
pp. 537-540
Author(s):  
Wilhelm Nitsch

Abstract The dispersion of polaritons of symmetry A1 and E is investigated in the region of four isotopic vibrations originating from C13- and N15 -atoms in their natural abundances. The measured dispersion curves are explained in terms of a theory for localized mode polaritons (LMP) developed by Ohtaka. The dispersion relation is generalized for a polyatomic crystal and applied to K3Cu(CN)4. The comparison of experimental data with calculated dispersion curves shows a quite satisfying agreement for a certain value of the coupling constant which is approximately the same for E-type and A1-type polaritons.


2018 ◽  
Vol 96 (4) ◽  
pp. 406-410
Author(s):  
M. Usman Malik ◽  
W. Masood ◽  
Aman-ur Rehman ◽  
Arshad M. Mirza ◽  
Anisa Qamar

In this paper, we have investigated the electrostatic electron Bernstein waves in a collisionless magnetized plasma using the Cairns distribution function. In this regard, we have derived a generalized dielectric constant for the Bernstein waves and derived the modified dispersion relation in the presence of Cairns distribution function. We have found that the dispersion curves for the electron Bernstein waves using the Cairns distribution function show a very significant deviation from the Maxwellian results. It has been found that the behavior of the Bernstein waves across the entire band between the adjacent harmonics shows a departure from the Maxwellian result for the different values of the non-thermality parameter for the Cairns distribution function.


Materials ◽  
2018 ◽  
Vol 11 (11) ◽  
pp. 2219 ◽  
Author(s):  
Sonja Gombar ◽  
Petar Mali ◽  
Milan Pantić ◽  
Milica Pavkov-Hrvojević ◽  
Slobodan Radošević

The dispersion relation for noninteracting excitons and the influence of perturbative corrections are examined in the case of pentacene structure. The values of exchange integrals are determined by nonlinear fits to the experimental dispersion data, obtained by the inelastic electron scattering reported in recent experiments. We obtain theoretical dispersion curves along four different directions in the Brillouin zone which possess the same periodicity as the experimental data. We also show that perturbative corrections are negligible since the exciton gap in the dispersion relation is huge in comparison to the exchange integrals.


2008 ◽  
Vol 4 (S257) ◽  
pp. 569-573 ◽  
Author(s):  
Alix L. Verdon ◽  
I. H. Cairns ◽  
D. B. Melrose ◽  
P. A. Robinson

AbstractMost treatments of lower hybrid waves include either electromagnetic or warm-plasma effects, but not both. Here we compare numerical dispersion curves for lower hybrid waves with a new analytic dispersion relation that includes both warm and electromagnetic effects. Very good agreement is obtained over significant ranges in wavenumber and plasma parameters, except where ion magnetization effects become important.


2018 ◽  
Vol 32 (03) ◽  
pp. 1850028 ◽  
Author(s):  
D. C. Tiwari ◽  
P. L. Premlal ◽  
Vandana Chaturvedi

In this work, we developed a unique mathematical model to solve dispersion relation for surface polaritons (SPs) in artificial composite materials grating. Here, we have taken two types of materials for analysis. In the first case, the grating composed of epsilon-negative (ENG) material and air interface. In second case, grating composed of left-handed materials (LHMs) and ENG medium interface is considered. The dispersion curves of both p and s polarized SPs modes are obtained analytically. In the case of ENG grating and air interface, polaritons dispersion curves exist for p-polarization only, whereas for LHM grating and ENG medium interface, the polaritons dispersion curves for both p and s polarization are observed.


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