Magnetic phase diagram of a random mixture of Jahn-Teller ions

A magnetic model of a random mixture containing Jahn-Teller ions, in which several kinds of exchange interactions between the Jahn-Teller ions and between the Jahn-Teller and non-Jahn-Teller ions are assumed, is proposed and studied by using the distribution function method. It is shown that a spin glass phase occurs when these exchange interactions have different signs. Our model would be applicable to a mixture Rb₂Cr_xMn_1-xCl₄ in which the spin glass phase has been observed.     

Anomalies in the thermodynamic properties of mixtures near the liquid-vapor critical point

The behavior of the specific heat at constant volume and the derivative (?P/?T)_{ρ, x} has been studied experimentally near the liquid-vapor critical point of the methane-propane-pentane mixture. It has been shown that the derivative ?P/?T)_{ρ, x} for mixtures, in contrast to one-component systems, has a characteristic anomaly directly associated with an anomaly in the specific heat at constant volume. It is impossible to distinguish between the infinite increase in the specific heat or finite peak when processing of the experimental data only for the heat capacity. However, according to the joint analysis of the experimental data for both indicated quantities, both the specific heat of the mixture and the derivative ?P/?T)_{ρ, x} are singular finite quantities.     

Numerical simulation of inductive method for determining spatial distribution of critical current density

The inductive method for measuring the critical current density j_C in a high-temperature superconducting (HTS) thin film has been investigated numerically. In order to simulate the method, a non-axisymmetric numerical code has been developed for analyzing the time evolution of the shielding current density. In the code, the governing equation of the shielding current density is spatially discretized with the finite element method and the resulting first-order ordinary differential system is solved by using the 5th-order Runge–Kutta method with an adaptive step-size control algorithm. By using the code, the threshold current I_T is evaluated for various positions of a coil. The results of computations show that, near a film edge, the accuracy of the estimating formula for j_C is remarkably degraded. Moreover, even the proportional relationship between j_C and I_T will be lost there. Hence, the critical current density near a film edge cannot be estimated by using the inductive method.     

A dipole approximation for a dielectric mixture based on the equal field energy method

In this paper, a dipole-energy approximation for calculating the electric field distribution and saturation charge of spheres in an infinitely large dielectric mixture has been carried out. The approximation rests on the assumption that the field energy of mixture calculated using two different methods have the same value. One way is considering that the mixture in a uniform field E₀ as a uniform object of effective permittivity ?_eff from a macroscopic point of view, where ?_eff is seen as the average characteristic parameter of the object. The other way is assuming that the spheres in mixture are in the equivalent external field E₀′, and E₀′ related to the dielectric mismatch and the ratio of the sphere radius to the average distance between neighboring spheres has been obtained. Based on dipole-energy model, the approximate formulas for calculating the maximum field strength and saturation charge of spheres are derived separately.     

On the critical temperature in a Boson-Fermion mixture with attraction between the components

The dependence of the critical temperature shift in the Bose component of a degenerate Bose-Fermi gas mixture in a harmonic trap on the number of bosons and fermions has been obtained on the basis of the effective Hamiltonian of the Bose subsystem. The presence of the Fermi component leads to a qualitatively new behavior of the shift, as compared to the case of a single interacting Bose gas in the trap. Namely, the T _c(N) dependence has a different curvature in the presence of the Fermi component.     

A high efficiency NH3/H2O absorption power cycle

A work producing cycle has been developed showing a thermodynamic efficiency considerably higher than that of the Rankine cycle. The new cycle employs a mixture of H₂O and NH₃ as the working fluid and uses an absorption process similar to that of absorption refrigerators. Its advantage over existing power cycles working with the same mixture (i.e. the Kalina cycle) is simplicity as far as devices, construction, operation and maintenance are concerned. For the detailed calculation of the proposed cycle a method has been developed, which employs analytical functions describing the thermodynamic properties of the NH₃/H₂O mixture. The proposed cycle has been compared with Rankine cycles working at the same temperature levels. For fixed upper (i.e. superheating) and lower (i.e. condensation) temperatures, the new cycle shows an efficiency 20% higher than that of the Rankine cycle if the boiling temperature is high, while for low boiling temperatures the superiority of the proposed cycle is much more pronounced. A parametric study has also been conducted for the new cycle, wwhich showed, inter alia, that the optimum difference between the mass fractions of the rich and weak solution is about 0.1 kg NH₃/kg mixture.     

Transition probabilities for sulfur lines from wall-stabilized arc measurements

A new type of analysis has been developed to determine transition probabilities of spectral lines emitted from optically thin, multi-element, arc plasmas in local thermodynamic equilibrium (LTE). Provided the ionization energy of the element of interest is considerably lower than that of the other elements, this method is independent of demixing effects for a fairly wide temperature range. The technique has been applied to spectroscopic data obtained from wall-stabilized arcs operated at atmospheric pressure, first in a mixture of argon and sulfur hexafluoride (SF₆), and second in SF₆. A trace of hydrogen is added in both experiments in order to determine the electron density from the measuredHβ hydrogen line width. The experimental data do not contradict the assumption of LTE. The transition probabilities for the SI 4695 Å, SI 5279 Å, SII 5320 Å, and SII 5454 Å lines are in good agreement with those listed in the NBS critical data compilation.     

Critical behaviour of magnetic thin film with Heisenberg spin-S model

The magnetic properties of a ferromagnetic thin film of face centered cubic (FCC) lattice with Heisenberg spin-S are examined using the high-temperature series expansions technique extrapolated with Padé approximations method. The critical reduced temperature of the system τ_c is studied as function of thickness of the film and the exchange interactions in the bulk, and within the surfaces J_b, J_s and J_⊥ respectively. A critical value of surface exchange interaction above which surface magnetism appears is obtained. The dependence of the reduced critical temperature on the film thickness L has been investigated.     

Short-time dynamics of Fe2/V13 magnetic superlattice models

Critical relaxation from a low-temperature fully ordered state of Fe₂/V₁₃ iron-vanadium magnetic superlattice models has been studied using the method of short-time dynamics. Systems with three variants of the ratio R of inter-to intralayer exchange coupling have been considered. Particles with N = 262144 spins have been simulated with periodic boundary conditions. Calculations have been performed using the standard Metropolis algorithm of the Monte Carlo method. The static critical exponents of magnetization and correlation radius, as well as the dynamic critical exponent, have been calculated for three R values. It is established that a small decrease in the exchange ratio (from R = 1.0 to 0.8) does not significantly influence the character of the short-time dynamics in the models studied. A further significant decrease in this ratio (to R = 0.01), for which a transition from three-dimensional to quasi-two-dimensional magnetism is possible, leads to significant changes in the dynamic behavior of iron-vanadium magnetic superlattice models.     

Time-resolved Fourier transform infrared spectroscopy: Application to pulsed discharges

Time-resolved Fourier transform spectroscopy (TR-FTS) is reviewed, with emphasis on synchronous FTS using continuously scanning interferometers. By using a high-resolution Bruker IFS 120 HR, a TR-FTS method has been developed with the help of a microcontroller SX, where a maximum of 64 time-resolved data are recorded with a preset time interval in a single scan of the interferometer. The time resolution is 1 μs, limited by the response time of the detector system used. This method has been applied to a pulsed discharge in an Ar and H₂ mixture to observe time profiles of ArH⁺ and ArH emission spectra. Electronic transitions of He₂ have been observed in the infrared region with this method, and from the time profiles, He₂ in Rydberg states with higher energy than the b³Π state is found to be produced efficiently in afterglow plasma. Fifteen bands in the 2300-8000 cm⁻¹ region have been assigned by using previously reported data from the optical region. A new band from the 5f state has been assigned for the first time through the 5f-4d band in the 2600 cm⁻¹ region.     

Disorder effect on the traffic flow behavior

The effects of some disorders, on the traffic flow behavior, are studied numerically. Especially, the effect of mixture of vehicles of different velocities and/or lengths, the effects of different drivers reactions, the position and the extraction rate of off-ramp in the free way. Using a generalized optimal velocity model, for a mixture of fast and slow vehicles, we have investigated the effect of delay times τ _f and τ _s on the fundamental diagram. It is Found that the small delay times have almost no effect, while, for sufficiently large delay time τ _s , the current profile displays qualitatively five different forms, depending on τ _f , τ _s and the fractions f _f and f _s of the fast and slow cars, respectively. The velocity (current) exhibits first-order transitions at low and/or high densities, from freely moving phase to the congested state, and from congested state to a jamming one, respectively. The minimal current appears in intermediate values of τ _s . Furthermore there exist, a critical value of τ _f above which the meta-stability and hysteresis appear. The effects of disorder due to drivers behaviors have been introduced through a random delay time τ allowing the car to reach its optimal velocity traffic flow models with open boundaries. In the absence of the variation of the delay time Δτ, it is found that the transition from unstable to meta-stable and from meta-stable to stable state occur under the effect of the injecting and the extracting rate probabilities α and β respectively. Moreover, the perturbation of the traffic flow behavior due to the off-ramp has been studied using numerical simulations in the one dimensional cellular automaton traffic flow model with open boundaries. When the off-ramp is located between two critical positions i _c1 and i _c2 the current remains constant (plateau) for β_0c1 < β₀ < β_0c2, and the density undergoes two successive first order transitions: from high density to plateau current phase and from average density to the low one. In the case of two off-ramps, these transitions occur only when the distance between ramps, is smaller than a critical value.     

Electronic structure of layered compounds

The electronic structure of the intercalated graphite compounds XC₆ (X = Ca, Sr, Ba, Yb, and La) has been studied using the linearized augmented plane-wave method. It has been found that the electronic structure of the carbon layers in these compounds is qualitatively different from a two-dimensional graphite structure. A lower critical superconducting-transition temperature in YbC₆, as compared with that in CaC₆, at a higher electron density in the carbon layers can be explained by the strong hybridization of the p states of carbon and the d states of ytterbium near the Fermi level. An increase in the critical temperature would be expected in the compounds XC₆ with Group III metals, for example, in LaC₆.     

Composition dependence of the viscosity of dense gas mixtures

We present a method for the computation of the composition dependence of the viscosity of a dense gas mixture. This method uses the (modified) Enskog theory formula for the viscosity of a dense mixture of rigid-sphere gases, as obtained by Thorne, and assumes that this formula can be applied to real gas mixtures provided one replaces the purely rigid sphere quantities in the Enskog theory by suitably chosen real gas quantities. In order to compute the composition dependence of a mixture one needs: (a) the viscosities of the pure component gases at the same molar density as the mixture; (b) the low-density viscosities of the pure component gases; (c) one low-density value of the mixture viscosity; (d) the second virial coefficient and its temperature derivative for each component pure gas; and (e) in some cases, the equations of state of the pure components. No dense mixture data are required. Many of the low-density and equation-of-state quantities can be obtained with sufficient accuracy from existing correlation schemes. The technique has been applied to three binary systems for which accurate measurements exist: He-Ar, Ne-Ar, and H₂-CH₄. There is agreement to about 1% up to densities 0.7 of the critical, and to about 5% for densities up to 1.8 times the critical for H₂-CH₄. The multicomponent generalization is also given but experimental data for comparison are lacking.     

Direct experimental verification of the isomorphism hypothesis for critical phenomena

The heat capacity at constant volume of a mixture of methane and 0.0345 mole fractions of heptane is experimentally studied over a wide range of densities and temperatures. In the case when the transition from a three-phase state takes place in the presence of a noncritical liquid phase, it is found that the behavior of the heat capacity in the vicinity of the upper end critical point is fully isomorphic with the behavior of the heat capacity in the vicinity of the liquid-vapor critical point of one-component fluid. It is shown that the measured quantity in this experiment is the heat capacity at constant volume and constant chemical potential μ of the heavy impurity component C _{v, μ}. Thus, it has been confirmed by direct measurements that the anomaly of this heat capacity completely coincides in character with the anomaly of the heat capacity at constant volume in the vicinity of the liquid-vapor critical point of one-component fluids.     

Fluid–fluid phase equilibria in disordered porous media. Nonadditive hard sphere mixture

We report a computer simulation and integral equation study of fluid–fluid phase equilibria of nonadditive hard sphere binary mixture adsorbed in disordered hard sphere matrix. The mixture exhibits phase separation with critical density ρ_c^f lower than its bulk counterpart. It is found that ρ_c^f decreases with increasing both porosity and nonadditivity parameter.     

Critical points and points of the bifurcation of the rotating magnetized newtonian polytropes with a 1 ⩽ n ⩽ 1.6 index

The presence of critical points and the bifurcation points of rotating Newtonian polytropes with an index of 1 ? n ? 1.6 has been shown for the first time in this paper. The symbolic-numerical calculation error in metric L ₂ has reached the size of the 10^?4 order. The approximate analytical solution to the problem to the abovementioned accuracy has been set forth. A critical value of the polytropes index n = n _k = 1.51025 has been calculated which is the highest among the critical points and bifurcation points. The value n _k corresponds to the infinitely slow polytropes rotation. Furthermore, in this paper the presence of the period jump at the bifurcation point T _b has been predicted and the relative value of this jump ΔT _b /T _b ～ B _0in ^4/3 has been estimated.     

Enhancement of Jc by Hf-doping in the superconductor MgB2: A hyperfine interaction study

Measurements of the critical current density (J_c) by magnetisation and the upper critical field (H_c2) by magnetoresistance have been performed for hafnium-doped MgB₂. There has been a remarkable enhancement of J_c as compared to that by ion irradiation without any appreciable decrease in T_c, which is beneficial from the point of view of applications. The irreversibility line extracted from J_c shows an upward shift. In addition, there has been an increase in the upper critical field which indicates that Hf partially substitutes for Mg. Hyperfine interaction parameters obtained from time differential perturbed angular correlation (TDPAC) measurements revealed the formation of HfB and HfB₂ phases along with the substitution of Hf. A possible explanation is given for the role of these species in the enhancement of J_c in MgB₂ superconductor.     

The effect of a magnetic field on the heat conductivity of oxygen and oxygen - argon gas mixtures

The effects of a magnetic field on the heat conductivity of the paramagnetic O₂ and O₂-Ar gas mixtures of different compositions have been studied by using the hot-wire method. The magnetic field has been applied perpendicular to the temperature gradient so that the fractional change ($\text{Δλ}{}^{\mathrm{\perp }}\text{λ}$) of the longitudinal coefficient of thermal conductivity has been measured. For pure O₂, after applying proper corrections the experimental data obtained by using the hot-wire method agreed well with those obtained by using other methods. The experimental ($\text{Δλ}{}^{\mathrm{\perp }}\text{λ}$) data have been interpreted by applying the theory of Knaap and Beenakker and treating O₂ as a mixture of m_s = 0 and m_s = ± 1 states.For O₂-Ar mixtures, the theory of Köhler and Raum has been used and O₂ has been treated as a mixture of m_s = 0 and m_s = ±1 states. By using this approximation, the experimental ($\text{Δλ}{}^{\mathrm{\perp }}\text{λ}$) data have been interpreted fairly well and reasonable values of several cross sections have been obtained.     

Computational study on lean and rich combustion of flame ball,counterflow flame and planar flame: Their limits and stoichiometries

To investigate (fuel-)lean/rich limits and essential stoichiometries, i.e., the borders of lean/rich combustion, one-dimensional steady computations with detailed chemistry for flame balls, counterflow flames, and stretch-free planar flames were conducted using a CH₄/O₂/Xe mixture that has been used in microgravity experiments. As continuous converged solutions were obtained under lean/rich conditions, it was suggested that the existence of flame ball not only under lean but also under rich condition. Flame radii and temperatures of flame balls decreased and increased toward the lean/rich limits from their maximum and minimum values, respectively. The lean limits were wider in the order of the flame ball, counterflow flame, and stretch-free planar flame. Therefore, the lean flammability limit corresponded to the lean limit of the flame ball in the mixture. Conversely, the rich limits were wider in the order of the counterflow flame, stretch-free planar flame, and flame ball. Thus, the rich flammability limit corresponded to the rich limit of the counterflow flame in the mixture. Essential stoichiometry, which represents the actual stoichiometry depending on the dominant transport in near-flame front, was not uniquely determined as conventional stoichiometry (ϕ = 1); it was located between the equivalence ratio of ϕ = 1 and ϕ_c, where ϕ _c denotes the critical equivalence ratio is evaluated using the fuel and oxidizer Lewis number of a target mixture. The results indicated that the essential stoichiometry of the stretch-free planar flame corresponded to ϕ = 1, that of the flame ball corresponded to ϕ = ϕ _c, and that of the stretched flame was located between ϕ = 1 and ϕ _c depending on the stretch rate.     

Divergence du coefficient de viscosite γ1 mesure en phase nematique au voisinage d'une transition smectique a-nematique

The thermal variation of the twist viscosity coefficient γ₁ has been investigated in the nematic phase of two materials with a smectic A phase. The twist coefficient γ₁ shows a critical behaviour in (T-T_c)^?ν, but the value of ν is very dependant of the method used to analyse the experimental results.