سال:1394 | دوره: | شماره: |تعداد مقالات:8

The most general reaction–diffusion model on a Bethe Lattice with nearest-neighbor interactions is introduced, which can be solved exactly through the empty-interval method. The stationary solutions of such models are discussed. For some special choice of reaction rates the dynamics of the system is also studied.

In this paper, design and construction of a tunable pulsed Ti: sapphire laser and numerical solution of the corresponding rate equations are reported. Rate equations for a four-level system are written and their numerical solution is examined. Furthermore, an optical setup is introduced. In this setup, a Ti: sapphire crystal is longitudinally pumped by the second harmonics of a Q-Switched Nd: YAG laser, and a prism is used as a wavelength selective element as well. This setup is established for two 10 and 50 % transmission output couplers. In case of using the 10 % coupler, the output energy of the laser, for the pump energy of 36 mJ, is pulses with 3.5 mJ energy and for the 50 % coupler, with 50 mJ of pump energy, pulses with 10 mJ energy are generated. A wavelength tuning range of more than 160 nm is possible. The repetition rate of this laser is 10 Hz and the temporal duration of the pulses is about 30 ns.

A realistic problem of an explosion-generated relativistic plasma is talked about with respect to the instabilities developed in such systems. For this, the dispersion equation is derived analytically and solved numerically for typical values of physical quantities. Our calculations reveal that two types of instabilities occur in the said plasma if the dust particles and relativistic effects of ions and electrons are considered. Both types of the instabilities are high-frequency instabilities, which carry growth rates of different magnitudes. In view of the magnitudes, the instability having higher/lower growth rate is called as high-frequency higher/lower growth rate instability. The relativistic effects of ions support the growth of these instabilities, whereas those of electrons suppress the growth of the instabilities. The waves propagating with larger phase velocity are found to grow at higher rates. There exists a critical value of the drift velocity of dust particles, above which another instability starts growing but with significantly lower growth rate.

A theory of relativistic traveling wave tube with magnetized thermal plasma-filled corrugated waveguide with annular electron beam is given. The dispersion relation is obtained by linear fluid theory. The characteristic of the dispersion relation is obtained by numerical solutions. The effect of plasma density, corrugated period, waveguide radius and plasma thermal effect on the dispersion relation and growth rate are analyzed. Some useful results are given.

Thermoluminescence (TL) characteristics of X-ray irradiated pure and doped with Nd3+ ions glasses have been studied in the temperature range 303–573 K; all the pure glasses have exhibited single TL peak at 382, 424 and 466 K, respectively. When these glasses are doped with Nd3+ ions no additional peaks are observed but the glow peak temperature of the existing glow peak shifted gradually towards higher temperatures with gain in intensity of TL light output. The area under the glow curve is found to be maximum for Nd3+-doped glasses mixed with cadmium oxide as modifier. The trap depth parameters associated with the observed TL peaks have been evaluated using Chen’s formulae. The possible use of these glasses in radiation dosimetry has been described. The result clearly showed that neodymium (Nd)-doped cadmium borate glass has a potential to be considered as the thermoluminescence dosimeter.

The sd-version of the interacting boson model (IBM) is used to establish the shape phase transitional structure. A simplified Hamiltonian is used which is intermediate between the three dynamical symmetries of U (6), namely the spherical U (5), the prolate and oblate deformed SU (3) and the g-unstable O (6) limits. The potential energy surfaces (PESs) to the IBM Hamiltonian have been obtained using the intrinsic state formalism which introduces the shape variables b and g. The Gadolinium (Gd) and Ruthenium (Ru) isotopic chains have been taken as examples in illustrating the U (5)-SU (3) and U (5) - O (6) shape phase transitions, respectively. We used the standard c2 test to get the IBM Hamiltonian parameters. The fit is performed by minimizing the c2 function for some selected experimental low-lying energy levels, the two neutron separation energies and B (E2) transition rates.

Glass surface modification is one of the processes which changes its physical properties. Changing optical property is a significant effect of surface modification. Among the surface modification methods, laser surface modification is attractive for researchers. Here, SiO2 glass target was irradiated by Q-switched Nd: YAG laser (1064 nm) in SF6 atmospheres as well as vacuum. In this process, an Nd: YAG laser beam was focused near the glass target while the target was inserted in a chamber containing SF6 atmosphere or at vacuum condition. The surface morphology changes were investigated by scanning electron microscopy (SEM). Noticeable surface changes were observed due to laser irradiation in SF6 atmosphere. Although the absorption lines of SF6 molecule are not near the Nd: YAG laser wavelength, laser-induced breakdown spectroscopy (LIBS) showed decomposition of SF6 molecules near a glass target. The ablated fragments from the target impacted on gas molecules and decomposed them. In this work, LIBS showed that there were several fluorine ions when the target was irradiated in an SF6 atmosphere. This demonstrates SF6 molecule decomposition near the glass target by laser irradiation. The plasma temperature was ~2000 K. This temperature is much less than metallic or other gaseous materials’ plasma temperatures.

In this paper, a theoretical investigation has been made of obliquely propagating dust acoustic solitary wave (DASW) structures in a cold magnetized dusty plasma consisting of a negatively charged dust fluid, electrons, and two different types of nonthermal ions. The Zakharov–Kuznetsov (ZK) and modified Zakharov–Kuznetsov (MZK) equations, describing the small but finite amplitude DASWs, are derived using a reductive perturbation method. The combined effects of the external magnetic field, obliqueness (i.e. the propagation angle), and the presence of second component of nonthermal ions, which are found to significantly modify the basic features (viz. amplitude, width, polarity) of DASWs, are explicitly examined. The results show that the external magnetic field, the propagation angle, and the second component of nonthermal ions have strong effects on the properties of dust acoustic solitary structures. The solitary waves may become associated with either positive potential or negative potential in this model. As the angle between the direction of external magnetic field and the propagation direction of solitary wave increases, the amplitude of the solitary wave (for both positive potential and negative potential) increases. With changing this angle, the width of solitary wave shows a maximum. The magnitude of the external magnetic field has no direct effect on the solitary wave amplitude. However, with decreasing the strength of magnetic field, the width of DASW increases.