Critical behavior studies in Ti-substituted lanthanum bismuth perovskite manganites

Perovskite manganite La_0.4Bi_0.6Mn_1−xTi_xO₃ (x = 0.05 and 0.1) synthesized using conventional solid state route method give rise to critical phenomenon in their magnetic interactions due to the substitution of non magnetic Ti ions. The critical behavior is observed near paramagnetic–ferromagnetic transition and is studied by magnetization measurements. Various techniques like Modified Arrott plot, Kouvel–Fisher method, scaling equation of state analysis and the critical magnetization isotherm were used to analyze the magnetization data on magnetic phase transition. The values of critical exponents β and γ obtained using different techniques are in good agreement. The obtained critical exponents are found to follow scaling equation with the magnetization data scaled into two different curves below and above the transition temperature, T_C. This confirms that the critical exponents and T_C are reasonably accurate. The obtained critical exponents for both the samples deviates from mean-field model and do not completely follow the static long range ferromagnetic ordering. This behavior is consistent with non magnetic nature of Ti substituted at Mn site and can be associated with Griffiths phase like phenomenon.     

Using the phenomenon of liquid superheat to measure critical properties of substances

A method to measure the critical temperature and critical pressure of substances, in particular, thermally unstable ones, is briefly described. The method is used to measure the temperature of attainable superheat of liquids with the help of a wire probe heated by electric current pulses. As the pressure increases, the temperature of attainable superheat tends to a critical temperature. The duration of the heating pulses is from 0.03 to 1 ms. A list of about 130 substances for which measurements of the critical properties were made is presented. The results of these measurements confirmed the scaling form of the relation between the critical constants of substances consisting of long chain molecules and the number of molecular units. Two methods to extrapolate the experimental data for the critical properties of the initial members of homologous series to heavier polymer homologs are proposed. One of the methods is based on the equation of state for the fluid of chain molecules. In this method, the extrapolating equations are power series in n, where n is the number of main units in a chain molecule. In the other method, the hypothesis of functional self-similarity and the presentation of scaling behavior of the critical constants of long chain molecules are used. Homologous series with the general formula R₁ (CH₂)_nR₂, where R₁ and R₂ are different end groups, are considered. We obtain equations to calculate, with good accuracy, the critical temperature and critical pressure of any member of any homologous series with the molecule structure R₁(CH₂)_nR₂ if they are known for one compound belonging to this series.     

Susceptibility Critical Exponent of a 1D Ising Ring-Type Ferromagnetic

Using the Monte Carlo method, critical behavior of the one-dimensional ferromagnetic Ising model has been investigated with allowance for the interaction of the second and third neighbors and four-particle interaction. The obtained results on the critical temperature were compared with the critical temperature of the quasi-one-dimensional Ising magnetic [(СН₃)₃NH] · FeCl₃ · 2H₂O and with the magnitude of the exchange interaction J/k_B = 17.4 K. Within the scope of the finite-dimensional scaling theory, the critical susceptibility exponent has been calculated. It has been shown that values of the susceptibility exponent for the one-dimensional Ising model with periodic boundary conditions are considerably less than the known values of the exponents for three-dimensional systems. The critical susceptibility exponent strongly depends on energy parameters; namely, it decreases with an increase in them.     

Heterogenization of supercritical fluids and nonvariant critical equilibria in ternary systems with one volatile component (for water-salt systems as examples)

The phase equilibria in ternary systems with one volatile component and a homogeneous supercritical fluid (SCF) region in one of the binary subsystems (with two critical end-points p and Q) were analyzed. Heterogenization of SCFs, extending from the 2d′ boundary subsystem into a ternary system, starts with monovariant critical phenomena in saturated solutions (l₁ = l₂-s) or (g = l−s), which pass through the extremal parameters of the temperature or composition to form special critical equilibria such as double critical end-points DCEs (l₁ = l₂-s, g = l-s, l₁ = l₂-g) or double homogeneous points DHPs (l₁ = l₂-s ↔ g = l-s). Ternary nonvariant critical points (l₁ = l₂ = g, l₁ = l₂-g-s, and l₁ = g-l₂-s) appear at the intersections of the monovariant critical and noncritical curves.     

Belousov-Zhabotinsky反应体系中的波与稳定性

我们在Oregonator模型的基础上,取速率常数k₆、理想配比系数f及波数k为参变量,首先讨论了B-Z反应体系的稳定性,并得到了下列各量的表达式:空间周期结构的临界速率常数k₆^c、短波临界波数k_s^c与长波临界波数k_L^c,时空周期结构的临界速率常数k₆^c及临界波数k_c等。而后,我们给出了B-Z反应体系的临界频率λ_c,讨论了体系在临界状态附近的行为,并得到了触发波速度u_T及相位波速度u_P的表达式。本文的结论是,在一定条件下,不搅拌的B-Z反应体系能在临界状态附近呈现稳定的波群或者波包,触发波是均匀体系中的波包,相位波是有微小梯度的非均匀体系中的波包。u_T=2ηDk_c,D为HBrO₂的扩散系数,η为[H⁺]的缓变函数(在实验观测范围内,η≈0.1);u_P=v,v为相速度。 关键词：     

Upper critical field of disordered NbNi alloys

The critical fields for disordered Nb-Ni alloys are measured in the concentration region from 40 to 60 at% Nb down to temperatures below 0.1T_c. For these alloys T_c varies by a factor of 8 while the density of states, calculated from the slope of the critical field close to T_c, is about 1 (eV atom)⁻¹ independent of concentration. The critical fields are enhanced over the maximum value consistent with the Werthamer-Helfand-Hohenberg theory. It is suggested that weak localization effects contribute to the enhanced critical field of Nb₄₀Ni₆₀.     

Critical temperature of Bose-Einstein condensation for weakly interacting bose gas in a potential trap

It has been a long history to study Bose-Einstein condensation (BEC) of weakly in-teracting Bose gas, and several theoretical models have been developed to research uni-form and weakly interacting Bose gas. Ref. [1] summarized all of these models and the corresponding results, which gave a derivation of critical temperature from ideal case 1/30Tc c n,?T = α (1) with a wide spread of parameter c from 0.7 to 2.33, where α is the scattering length of s wave and n is atom number density. Due…     

Hyperscaling Inequalities for the Contact Process and Oriented Percolation

The contact process and oriented percolation are expected to exhibit the same critical behavior in any dimension. Above their upper critical dimension d _c, they exhibit the same critical behavior as the branching process. Assuming existence of the critical exponents, we prove a pair of hyperscaling inequalities which, together with the results of refs. 16 and 18, implies d _c=4.     

Critical line broadening of the EPR in the two-dimensional antiferromagnet crystals Rb2MnCl4 and Rb2Mn0,8Cd0,2Cl4

The EPR spectrum of quasi-two-dimensional antiferromagnets Rb₂Mn_xCd_1?xCl₄ (x=1,0; 0,8) has been studied in a critical temperature range. Two theoretical approaches - the scaling theory and the soliton's theory - are used to explain experimental data on temperature of the EPR linewidth. In the first interpretation critical exponents are determined. For both crystal two temperature regions with different critical exponents are found. It is shown that the soliton's theory with an anomaleous great excitement energy describes the experimental data satisfactory.     

Studies of absorption spectra and the photovoltaic effect in LiNbO3:Mg:Fe crystals

The absorption spectra, photoconductivities and photovoltaic currents of LiNbO₃:Fe crystals with different Mg doping levels and Li/Nb ratios in the oxidized state have been investigated at room temperature. The Fe²⁺ ions in LiNbO₃:Mg:Fe with Mg content above a critical value are more easily oxidized than in crystals with Mg content below a critical value. The photoconductivity of LiNbO₃:Mg:Fe crystals with Mg content above a critical value is one order of magnitude higher than those with Mg content below a critical value, however, the photovoltaic current of the former is one order of magnitude lower than the latter. The differences are postulated to be due to different sites of Fe in these two classes of crystals.     

Experimental gravity induced coexistence curve of methyl fluoride near the critical point

Abstract

The top part of the coexistence curve of methyl fluoride in the critical region has been determined first by direct observation of the disappearance of the meniscus of the fluid situated in a high-pressure light scattering cell and subsequently from the measured maximum depolarization ratio of an appreciable number of isochores close to the critical point. The experimental data obtained from direct observations yield a coexistence curve which nearly coincides with that found recently from pVT measurements. However, the data obtained from light scattering experiments describe a gravity induced coexistence curve which lies above the previous one and which shows a minimum at the critical point. The complete experimental data have been used to evaluate the critical parameters p_c, ρ_c and T_c and the critical exponent β.     

Thermodynamic properties of the ferromagnetic spinel ZnpCd1−pCr2Se4

The magnetic properties of the B-spinel ferromagnetic Zn_pCd_1−pCr₂Se₄ compound are studied via a cluster series expansion approximation with nearest and next-nearest exchange integrals J₁ and J₂, respectively. Using the minimization of the free-energy expressions, the magnetization, the magnetic susceptibility, the two-spin correlation functions and the specific heat are obtained and computed numerically as a function of temperature and for each composition of the system. The magnetization curves are used to determine the critical temperatures T_c. Using the power laws in the vicinity of the critical regions the critical exponents β, γ and α associated, respectively, with the magnetization, the magnetic susceptibility and the specific heat are numerically calculated. The critical temperatures T_c obtained are in very good agreement with those predicted by the magnetic measurements and the values of the critical exponents may be compared with other theoretical results based on the 3D Heisenberg model.     

Influence of Ag doping on the critical behavior of the heat capacity of manganites

The critical behavior of the heat capacity of Ag doped manganites is studied. Changing regularities of universal critical parameters near the critical point are determined. All investigated samples up to t _min ≈ 10^?3 correspond to 3D Heisenberg universality class of the critical behavior. The universality class of critical behavior of La_{1 – x} Ag _y MnO₃ (y ≤ x) heat capacity is shown to be Ag-concentration independent.     

Critical magnetic field ratio of anisotropic magnetic superconductors

The upper critical field, the lower critical field and the critical magnetic field ratio of anisotropic magnetic superconductors are calculated by Ginzburg–Landau theory analytically. The effect of the Ginzburg–Landau parameter (κ₀), magnetic susceptibility (χ) and magnetic-to-anisotropic parameter ratio (θ) on the critical field ratio are considered. We find that the value of critical field ratio increases with increasing κ₀ and θ, and decreases with increasing χ. The highest and the lowest value of critical field ratio is found in the diamagnetic superconductors and the ferromagnetic superconductors, respectively.     

Critical behavior studies in ferromagnetic (Nd, K)-Mn-O compounds

The critical scaling behavior of K-doped Nd-Mn-O based double-exchange ferromagnetic compounds was studied by measuring isothermal magnetization of Nd_0.84K_0.16MnO₃ and Nd_0.77K_0.23MnO₃ samples. The critical exponents β, γ and δ corresponding to the spontaneous magnetization, initial susceptibility and isothermal magnetization, respectively, were determined by analyzing the magnetization data in terms of the modified Arrott plot method. The critical exponent values of both samples are found to be comparable to values predicted by a mean field model. The role of ferromagnetic clusters on the scaling behavior is discussed. The critical exponent values are found to be consistent with the Widom scaling relation and the universal scaling hypothesis.     

Compensation effect in an exchange enhanced superconductor: [(La.993Lu.007)1−xGdx]Ru2

We have measured the upper critical field, H_c2, of alloys of the form [(La_.993Lu_.007)_1?xGd_x]Ru₂. For large $\text{(x?0.02)}$ concentrations of Gd, the critical fields are re-entrant. For small (x?0.01) concentrations of Gd, the critical fields cross the pure sample critical fields and rise above them due to compensation of the externally applied magnetic field by the negative effective internal field of the magnetic impurity. Compensation occurs at relatively low fields (25 KG) in this system as a result of substantial exchange enhancement. From the concentration and critical field of the most compensated sample, we find a value for the exchange integral, J(0) = ?(15+?2) meV, and a susceptibility enhancement factor in excellent agreement with EPR, specific heat and static susceptibility measurements.     

Effect of carbon substitution on low magnetic field AC losses in MgB2 single crystals

The DC magnetization and AC magnetic susceptibilities were measured for MgB₂ single crystals, unsubstituted and carbon substituted with the composition of Mg(B_0.94C_0.06)₂. AC magnetic losses were derived from the AC susceptibility data as a function of the AC amplitude and the DC bias magnetic field. From the DC magnetization loops critical current densities were derived as a function of temperature and DC field. Results show that the substitution with carbon decreases critical current densities at low external magnetic fields, in contrast to the well known effect of an increase of the critical current densities at higher magnetic fields.     

Numerical investigation of relativistic self-focusing of intense laser beam with LG01 mode in plasmas

In this paper, we numerically investigate the relativistic self-focusing of laser beam with LG₀₁ mode in plasmas. An effective potential is introduced to identify the critical power. Numerical methods are employed to solve the governing equations. To verify the numerical procedures, we compare the known analytical solution of the relativistic critical power for TEM₀₀ mode with our numerical method. It is shown that there is a good agreement between our numerical results and the analytical solution. The critical power for relativistic self-focusing of a LG₀₁ laser beam is about 6 times of that for a TEM₀₀ laser beam.     

基于成分连续变化计算黏度的合金系临界冷速模型

在大块非晶临界冷却速率的非等温转变计算模型基础上提出了基于成分连续变化计算黏度的合金系临界冷速模型. 依据此模型对Zr-Ni-Al-Cu四元合金的临界冷却速率进行了计算并预测了Zr_66.67(Ni_{xAlyCuz)33.33合金系中容易形成非晶的成分范围. 计算值与实验值符合得较好. 计算结果表明，此合金系具有很强的非晶形成能力，特别是在靠近共晶点的中心区域，临界冷却速率小于100 K/s，为容易形成非晶的成分范围. 冷却过程中，在高于1000K温度区间，没有发生明显的结晶现象，而在980 K至870 K温度范围内，结晶分数快速增大，低于870 K时不再发生明显改变. 此外，分析了合金系中Al，Cu，Ni原子摩尔分数的变化对临界冷速的影响. 关键词： 大块非晶 黏度 临界冷却速率 非晶形成能力}     

Entanglement in the anisotropic Heisenberg XYZ model with different Dzyaloshinskii-Moriya interaction and inhomogeneous magnetic field

We investigate the entanglement in a two-qubit Heisenberg XYZ system with different Dzyaloshinskii-Moriya (DM) interaction and inhomogeneous magnetic field. It is found that the control parameters (D_x, B_x and b_x) are remarkably different with the common control parameters (D_z, B_z and b_z) in the entanglement and the critical temperature, and these x-component parameters can increase the entanglement and the critical temperature more efficiently. Furthermore, we show the properties of these x-component parameters for the control of entanglement. In the ground state, increasing D_x (spin-orbit coupling parameter) can decrease the critical value b_xc and increase the entanglement in the revival region, and adjusting some parameters (increasing b_x and J, decreasing B_x and Δ) can decrease the critical value D_xc to enlarge the revival region. In the thermal state, increasing D_x can increase the revival region and the entanglement in the revival region (for T or b_x), and enhance the critical value B_xc to make the region of high entanglement larger. Also, the entanglement and the revival region will increase with the decrease of B_x (uniform magnetic field). In addition, small b_x (nonuniform magnetic field) has some similar properties to D_x, and with the increase of b_x the entanglement also has a revival phenomenon, so that the entanglement can exist at higher temperature for larger b_x.