Growing networks with preferential deletion and addition of edges

A preferential attachment model for a growing network incorporating the deletion of edges is studied and the expected asymptotic degree distribution is analyzed. At each time step t=1,2,…, with probability π₁>0 a new vertex with one edge attached to it is added to the network and the edge is connected to an existing vertex chosen proportionally to its degree, with probability π₂ a vertex is chosen proportionally to its degree and an edge is added between this vertex and a randomly chosen other vertex, and with probability π₃=1−π₁−π₂<1/2 a vertex is chosen proportionally to its degree and a random edge of this vertex is deleted. The model is intended to capture a situation where high-degree vertices are more dynamic than low-degree vertices in the sense that their connections tend to be changing. A recursion formula is derived for the expected asymptotic fraction p_k of vertices with degree k, and solving this recursion reveals that, for π₃<1/3, we have p_k∼k^{−(3−7π₃)/(1−3π₃)}, while, for π₃>1/3, the fraction p_k decays exponentially at rate (π₁+π₂)/2π₃. There is hence a non-trivial upper bound for how much deletion the network can incorporate without losing the power-law behavior of the degree distribution. The analytical results are supported by simulations.     

Effects of mechanically induced periodic bends on the optical loss of glass fibres

In several experiments different glass fibres were periodically distorted by mechanical means. The shape of the distorted fibre was nearly sinusoidal with an amplitude x and a periodic A. These periodic bends induced in all fibres an additional loss α_B. For multimode fibres, α_B was constant for the measured optical wavelengths from 500 to 1100 nm. When the amplitude x of the distortion is increased, α_B increases according to the empirical power law α_B = b₁x^b2 with b₂ in the range of 3 to 4.For single mode fibres, the additional loss α_B depends on the optical wavelength. A maximum of α_B has been found in the wavelength range around 900 nm. At this maximum, α_B is larger than for multimode fibres.     

Continuous measurement of current in air and possible relation with intense earthquake

Known as the global circuit, atmospheric ionic current (AIC) is flowing into the ground. In this study, the potential, V_m, of an electrode placed outside under open air was measured continuously using an electrometer with its voltage measuring mode. V_m should be a product of AIC flowing into the electrode and the input impedance of the electrometer. This measuring system, instead of direct measurement of AIC, was used to avoid noises caused by commercial power lines, motors, and other electronic devices. It also measures sudden change of atmospheric electric field. This is also an important feature.Daily time evolution of V_m is normally periodical, after sunset until sunrise V_m stays small, then it increases gradually, reaching a peak around noon followed by a gradual decrease in the evening. Occasionally different signals were observed, especially a few weeks prior to an intense earthquake. V_m was increased several weeks prior to a major earthquake, especially V_m was high in the midnight. It should be noted that, about 40 min prior to a very intense earthquake in north part of Japan in March 11, 2011, V_m showed sudden decrease. This decrease is related with the reported increase of electron density in ionosphere around the epicenter. The increased number of electron may produce ionic space charge in stratosphere, that could be measurable by this system. The abnormal behavior of V_m could be precursory phenomenon of an intense earthquake.     

Quasiclassical analysis of the spectra of two groups of central potentials

A method is suggested for analyzing the spectra of central attractive potentials either with Coulomb singularity (intra-atomic potentials) or finite at zero point (potentials in spherical clusters and nuclei). It is shown that, if the orbital degeneracy is removed, then $\varepsilon _{nl} - \varepsilon _{n0} \cong a_{\varepsilon _{n0} } (l + 1/2)^2 $ for small l in the shell n. In atoms and ions, the coefficient a _ε is nonnegative, so that the energy in the n shell increases with l. The validity of this formula for the inner electrons is illustrated by calculating the spectrum of the mercury atom. In cluster potentials, the opposite situation, as a rule, occurs: the larger l, the lower the corresponding level (a _ε<0). However, in the soft potentials of small clusters, spectral regions with different signs of a _ε coexist and the orbitally degenerate level exists in the spectral region where a _ε=0. Aluminum clusters Al_N are taken as an example to find out how the position of the region with the degenerate level varies with varying cluster size N, and it is found that this region is “pushed out” to higher energies with an increase in N. In this connection, the presence of multiply ionized Al_N clusters of the corresponding size in a low-temperature aluminum plasma is discussed.     

Binding energy of an electron to a three-defect-complex in CdTe

Recent measurements on halogen doped CdTe shows an unidentified electron trapping level at 0.05 eV. Using a mass action approach to self compensation involving a substitutional halogen, X_Te, and a cadmium vacancy, V_Cd, it can be shown that in addition to the two-defect complex, V_CdX_Te, the three-defect complex (V_Cd2X_Te) is present in substantial concentrations. A calculation of the binding energy of an electron to this three-defect-complex using the configurational interaction and one electron wave function, leads to a bound state with a depth about right for the unidentified level.     

Matrix-isolation study of the vibrational spectrum and structure of the CO3− radical anion

Charge-transfer interaction processes which occur upon codeposition at 14°K of an Ar:CO₂:N₂O or an Ar:CO:O₂ mixture with an atomic beam of potassium lead to the stabilization of CO₃^? in the solid deposit. Infrared spectroscopic data require a C_2v structure for this molecule. Although the deviation of the structure from the expected D_3h symmetry may result in part from Jahn-Teller distortion, cation interactions have been found to play a significant role. Evidence is presented for the initial formation of CO₃^? with trigonal symmetry. Upon mercuryarc irradiation of the deposit, absorptions due to CO₃^?2 grow in importance.     

Effective Mode Volume of Nanoscale Plasmon Cavities

The controlled squeezing of electromagnetic energy into nanometric volumes via surface plasmon-polariton excitations in plasmonic nanoresonators is analyzed using the concept of an effective electromagnetic mode volume V _eff, while taking careful account of the plasmon-polariton dispersion and the electromagnetic energy stored in the metal. Together with the quality factor Q of the cavity resonance, this enables a comparison with dielectric optical cavities, where V _eff is limited by diffraction. For a Fabry–Perot type planar metallic cavity, a one-dimensional analytic model as well as a three-dimensional finite-difference time-domain simulation reveal that V _eff is not bounded by diffraction, and that Q/V _eff increases for decreasing cavity size. In this picture, matter–plasmon interactions can be quantified in terms of Q and V _eff, and a resonant cavity model for the enhancement of spontaneous Raman scattering is presented.     

The dependence of the curvature elasticity moduli of a lipid bilayer on the change of the surface tension at a curving oil-water interface

It has been shown that the change of the surface tension γ at an oil-water interface, when this interface is not flat, effects an addition to the sum of the curvature elasticity moduli (2k_c+k?_c) (k_c and k?_c are proposed by Helfrich). The value of this effect is assessed.     

Characteristics of double-pomeron exchange

A detailed kinematic study is made of the cross section for double-pomeron exchange. We consider reactions of the type a + b → c + d + (h₁ + h₂ + …) where a → c and b → d are quasi-elastic transitions with limited momentum transfer and (h₁ + h₂ + …) is a centrally produced hadron cluster. The dependence of the cross section on the relative azimuthal angle φ between the final hadrons c and d provides an important test for double-pomeron exchange. We calculate this φ-dependence for all cases of interest, using a model in which pomeron exchange is represented by an effective current-current interaction. For limited momentum transfer, where the pomeron spin is nearly equal to one, this model is equivalent to Reggeized pomeron exchange. We give a complete formalism for the partial-wave analysis of the double-pomeron reaction ab → cd + h₁₂ which differs from the one given by Rushbrooke and Webber. Furthermore, we discuss the two-pomeron vertex, and the construction of detailed and realistic models for double-pomeron reactions.     

Global fit analysis including the ν9 + ν4 − ν4 hot band of ethane: Evidence of an interaction with the ν12 fundamental

The ν₉ fundamental band of ethane occurs in the 12 μm region. It is the strongest band of ethane in a terrestrial window and is commonly used for the identification of ethane in the Jovian planets. The ν₉ + ν₄ − ν₄ band occurs in the same region; neither can be analysed as an isolated band, since both are embedded in the torsional bath of the ground vibrational state. We report here two global fit models including data from both of these bands as well as the ν₃ fundamental and the ν₄, 2ν₄ − ν₄, and 3ν₄ torsional transitions. The first is restricted to −5 ? KΔK ? 15 in the hot band and gives an excellent fit to the included data. Three resonant interactions are identified in this fit—a Coriolis interaction with two resonant cases between the ν₉ torsional stack and that of the ground vibrational state (gs) and a resonant Fermi interaction between the ν₃ fundamental and the gs. Hot band lines with KΔK < −5 are influenced by a fourth perturbation, with a crossing at −11 < KΔK < −10, which has been attributed to an interaction with the ν₁₂ fundamental. A second fit, demonstrating a promising treatment of this interaction, is also presented.     

The large anisotropy of the magnetic and transport properties in the Ba5Co5ClO13 single crystal

In this Letter, the single crystals of Ba₅Co₅ClO₁₃ were grown by the flux method successfully. Their structure, magnetic and transport properties were studied. A large anisotropy of the magnetic and transport properties has been detected in this compound. Below the TN∼108 K, the magnetic susceptibility exhibits an antiferromagnetic peak in χc and an upturn transition in χab. We suggest that this behavior is consistent with the competition of the ferromagnetic (FM) intra-blocks coupling and antiferromagnetic (AFM) inter-blocks coupling in this compound. The temperature dependence of the resistivity displays a hump in ρab and a kink in ρc around TN, suggesting the strong coupling between the transport and magnetic properties. Above and below the transition, the transport properties in ab plane follow the three-dimensional (3D) variable range hopping (VRH) mechanism.     

Influence of eddy currents on magnetic hysteresis loops in soft magnetic materials

In this paper an attempt has been made to extend the Jiles and Atherton (J–A) quasi-static hysteresis model to describe magnetisation of a material with an alternating magnetic field. In low – industrial – and medium frequency of magnetic field it is possible to ignore the magnetic relaxation and resonance. The field penetration is assumed to be uniform through the material. The influence of eddy currents on the hysteresis loop could be considered and calculated using the method of successive reactions of eddy currents, where a reaction is an additional magnetic field, called reaction H_d, induced in the material by the eddy currents according to rot J=γ∂B/∂t where γ is the electrical conductivity. The reaction field H_d was added to the basic field H₀∝Iz_1, where I is the current intensity in the magnetising coil of z₁ number of windings. By solving the J–A equation for the magnetic field H_w=H₀+H_d it has achieved an extension of the hysteresis loop at an increased frequency of the current, caused by increased losses of the eddy currents. At the frequency f→0 Hz , the hysteresis loop approaches the shape of the quasi-static one.     

Elastic scattering of deuterons by 14C from Ed = 4 to 10 MeV

Angular distributions for the elastic scattering of deuterons by ¹⁴C were measured at nine energies between E_d = 4.2 and 10 MeV. Excitation functions were taken in 50 keV steps from E_d = 4 to 10 MeV. A resonance was observed at E_d = 4.5 MeV, which corresponds to an excitation energy of 14.41 MeV in ¹⁶N. An analysis using an optical model plus a single-level formula derived from the R-matrix formalism yields an l-value assignment of l = 4 for this resonance. Of the three J^π values allowed for l = 4 (J^π = 3⁺, 4⁺, 5⁺), the value of J_π = 3⁺ is found to be slightly preferred. Possible identification of this resonance with an analog in ¹⁶O is discussed. The angular distributions measured at off-resonance energies were analyzed with an optical-model potential which has a surface-peaked imaginary well. The energy dependence of the real and imaginary well depths are explicitly determined in the present work for E_d = 4 to 10 MeV. The best-fit optical-model parameters obtained from the present study are compared to those from the ¹⁴N(d, d)¹⁴N work.     

High-resolution infrared spectra of water vapor ν2 band of H2O

The ν₂ band of H₂¹⁸O occurring in the region 5–7.5 μ was recorded with a high-resolution vacuum infrared spectrograph and an analysis was presented of the rotational structure observed; comparison of the ground state (000) energy levels determined from the ν₂ band with those derived earlier by Fraley, Rao, and Jones from the ν₁ and ν₂ bands at 2.7 μ was of assistance in this analysis. Values for the energy levels of the first excited state (010) were evaluated.     

Ferromagnetic resonance in the randomly mixed insulating ferromagnet and antiferromagnet Rb2Mn(1-x)CrxCl4

An electron spin resonance experiment has been performed on the Cr-rich concentrations of the random mixture Rb₂Mn(_1-x)Cr_xCl₄ of an insulating ferromagnet (Rb₂CrCl₄) and an insulating antiferromagnet (Rb₂MnCl₄). The resonance fields in x = 0.6, 0.7 and 0.8 samples begin to shift towards low field side at temperatures well above the Curie temperatures, when the external field is applied in the c-plane of the crystal. The shift of the resonance field with temperature of the x = 0.7 sample agreed well with that of the x = 0.8 sample, after scaling the temperature axis, while the shift in the x = 0.6 crystal did not. From this observation, we argue that the x = 0.7 and x = 0.8 samples have a long-range ordered ferromagnetic phase below T_c, and that the low temperature phase of the x = 0.6 sample is not a truely long-range ordered one. A weak resonance line was observed in the x = 0.8 sample below about 20 K. This resonance is discussed in connection with the re-entrant spin-glass behavior of this mixed system found in the ac susceptibility measurement.     

Applications of photoelectron spectroscopy to molecular propertles: XVIII. The vertlcal ionization potentials of diphosphene as calculated by perturbation corrections to koopmans' theorem

The vertlcal ionization potentials (VIP's) of dimethyl diphosphene have been computed using perturbation corrections to Koopmans' theorem. These corrections allow an estimate of the effects of polarization and correlation, and show for this molecule an important contribution of the specific correlation of the ion for the ²A_g and ²B_u states. The results predict for the first three VIP's the ordering ²A_g, ²A_u, ²B_u, in agreement with our previous assignment.     

The kinetics of vacancy annihilation and short range order formation in Ni 11.4 at % Cr

In Ni-Cr alloys annealing after quenching from high temperatures leads to an increase of electrical resistivity which is attributed to a short range order state often denoted as K-state. Here the kinetics of the formation of the K-state in a Ni 10% Cr alloy is investigated by resistivity measurements for different quenching and annealing temperatures. The measurements are analyzed by an extended Schulze-Lücke method [22] which assumes that the rate of resistivity change is proportional to the vacancy concentration and that this rate as well as the rate of vacancy annihilation is described by a chemical rate equation.This analysis allowed a quantitative determination of the parameters determining the kinetics of short range order formation under different vacancy concentrations as well as the kinetics of annealing out of the quenched-in surplus vacancies. Among other quantities this treatment yielded the activation energies for vacancy formation H_F = 1.16 eV, for vacancy migration H_M = 1.56 eV and, as an independent cross check, for self diffusion H_D = 2.73 eV in good agreement with H_F + H_M = 2.72 eV.     

Moments of a Single Entry of Circular Orthogonal Ensembles and Weingarten Calculus

Consider a symmetric unitary random matrix V = (v _ij )_{1 ≤ i, j ≤ N} from a circular orthogonal ensemble. In this paper, we study moments of a single entry v _ij . For a diagonal entry v _ii , we give the explicit values of the moments, and for an off-diagonal entry v _ij , we give leading and subleading terms in the asymptotic expansion with respect to a large matrix size N. Our technique is to apply the Weingarten calculus for a Haar-distributed unitary matrix.     

Improving the accuracy and precision of equivalent doses determined using the optically stimulated luminescence signal from single grains of quartz

Optically stimulated luminescence (OSL) measurements of quartz are widely used to measure equivalent dose (D_e). At radiation doses above ～100 Gy, saturation of traps results in a decrease in the rate of growth of the OSL signal, and this makes calculation of D_e increasingly difficult. A series of dose recovery experiments was undertaken using single grains of quartz from Kalambo Falls, Zambia to explore saturation of single grains. When the OSL signal from many grains is averaged, the characteristic dose (D₀) is 47 Gy, typical of published values for quartz. However, D₀ for individual grains varies from ～10 to 100 Gy. Doses up to two times the average D₀ could be accurately recovered, but above this dose the D_e became increasingly underestimated. Overdispersion for this type of experiment should be zero, but was observed in all data sets; furthermore the value of overdispersion increased with D_e. An additional acceptance criterion, the Fast Ratio, is suggested for single grain OSL analysis. This criterion assesses the relative contribution of the fast component of the OSL signal. Including this as an additional acceptance criterion leads to an improved precision, with overdispersion reduced to zero, and improved accuracy in dose recovery at high doses.     

Simulation study on effect of drain underlap in gate-all-around tunneling field-effect transistors

In this work, the effects of underlapping drain junction on the performances of gate-all-around (GAA) tunneling field-effect transistors (TFETs) have been studied in terms of direct-current (DC) characteristics including on-current (I_on), off-current (I_off), subthreshold swing (S), and I_on/I_off ratio. In addition, the dependences of intrinsic delay time (τ) and radio-frequency (RF) performances including cut-off frequency (f_T) and maximum oscillation frequency (f_max) on gate–drain capacitance (C_gd) with the underlapping were investigated as the gate length (L_gate) is scaled. A GAA TFET with asymmetric junctions, with an underlap at the drain side, demonstrated DC and RF performances superior to those of a device with symmetric junctions.