Table of contents

We consider entanglement swapping and disentanglement schemes via an entangled state of three two-level atoms interacting with a coherent field. When a two-level atom C, entangled with two other two-level atoms A and B, is injected into a high-Q cavity and atoms A and B are far away from the cavity, the entanglement swapping or disentanglement can be realized by carrying out the measurement on the atom C and by selecting an appropriate interaction time of atom C with the coherent field.

We resolve the unity of generalized Bargmann spaces in Cⁿ [J. Math. Phys. 41 (2000) 3507] by means of displaced Fock states.

We design a scheme to perform additions of N remote addends. This adder is useful for some quantum information processing purposes, such as statistics and multi-party quantum game. The quantum remote adder is constructed by using a multi-party superdense coding scheme.

We present an expression of the relative phase for two interacting Bose-Einstein condensates released from an isotropic trapping potential. We discuss the interference condition between condensates and the visibility of the interference pattern reflecting the interaction between the condensates.

In the light of the recent works by Sen (hep-th/0203211, hep-th/0203265, hep-th/0204143) and Gibbons (hep-th/0204008), we present a phase-plane analysis on the cosmology containing a rolling tachyon field in a potential resulting from string theory. We show that there is no stable point on the phase-plane, which indicates that there is a coincidence problem if we consider the tachyon as a candidate for quintessence. Furthermore, we also analyse the phase-plane of the cosmology containing a rolling tachyon field for an exactly solvable toy potential in which the critical point is stable. Therefore, it is possible for the rolling tachyon to be a candidate for quintessence if we give up the strict constraint on the potential or find a more appropriate effective potential for the tachyon from M/string theory.

We obtain exact expressions of quasi-normal modes in three-dimensional spherical de Sitter space-time. Exact agreement is found between the quasi-normal frequencies and the location of poles of the retarded correlation function of the corresponding perturbations in the dual conformal field theory. Our results exhibits the de-Sitter/conformal-field theory correspondence in three-dimensional spherical space-time.

The vacuum polarization due to twisted scalar fields is investigated in a non-simply connected space-time. It is found that some photon modes acquire an imaginary topological mass, thus travelling at a superluminal speed. Topological bi-refringence is expected for photons propagating perpendicularly to the compactification direction. The effect of a topological photon mass on the static properties of electromagnetic fields is also considered for the cases of both twisted and untwisted scalar fields. Our result shows that in the untwisted case the magnetic field is screened along the radial direction for massive photon modes, while in the twisted case no screening occurs and the magnetic fields merely oscillate.

We generalize the quark-pair creation model to a study of the radiative decays J/Ψ→γB by assuming that the u, d, or s quark pairs are created with the same interaction strength. From the calculation of the ratio of the decay widths Γ(J/Ψ→γp)/Γ(J/Ψ→p), we extract the quark-pair creation strength g_I = 15.40 GeV. Based on the SU(6) spin-flavour basis and the ``uds'' basis, the radiative decay branching ratios containing strange baryons are evaluated. Measurements for these decay widths from the BESII data are suggested.

We have investigated the role of soft-gluon exchanges in B→ππ, using the light-cone sum rules in quantum chromodynamics. The calculations are carried out not only for the tree operators but also for the penguin operators. We conclude that soft-gluon exchanges contribute to the decay amplitudes, noticeably on some decay channels, and thus cannot be neglected.

The discovered proton halo nucleus of ²³Al is investigated in the nonlinear relativistic mean-field (RMF) model with deformation using the NL075 force parameter. It is shown that there is an energy inversion between the (5/2)⁺(202) and (1/2)⁺(211) orbitals in the ²³Al nucleus, which may produce a large enhancement of the reaction cross section compared with the neighbouring nuclei. Meanwhile, the NL075 force parameter may be better than the other RMF parameters for the calculation of the large deformed nucleus ²³Al.

Nucleon-χ_cJ dissociation cross sections are calculated in a constituent interexchange model in which quark-quark potential is derived from the Buchmüller-Tye quark-anti-quark potential. These new cross sections for dominant reaction channels depend on the centre-of-mass energy of the nucleon and the charmonium.

We propose a novel magnetic guide for cold neutral atoms using some current-carrying conductors. The spatial distributions of the magnetic fields from a V-shaped or U-shaped current-carrying conductor are calculated, and the relationship between the resulting magnetic field and the parameters of the current-carrying conductors is analysed in detail. The result shows that these current-carrying conductors can be used to realize a single or a controllable double magnetic guide of cold atoms in the weak-field-seeking state, and to construct various atom-optical elements, and even to realize a single-mode atomic waveguiding under certain conditions.

A lower-energy electron beam has been directed on to a hafnium thin target with thick backing to investigate the process of L-shell ionization. By using a Si(Li) detector to count the x-rays from the L-subshell, the partial and total production cross sections and mean ionization cross sections versus electron energies have been deduced simultaneously (from threshold to 36 keV). The influence of the electron reflected from the backing on measurements has been corrected. The path of the electron multi-scattered in the target itself has also been calculated by using the Monte Carlo programme (EGS4). A comparison with both theoretical predictions is given.

An extended self-similarity (ESS) model is developed by extending the self-similarity condition in fractional Brownian motion (FBM), then the incremental Fourier synthesis algorithm is introduced to generate ESS rough surfaces, and an estimation algorithm is presented to extract the generalized multiscale Hurst parameter, which can also be modified to estimate the Hurst parameter for FBM more accurately. Finally, the scattering coefficient from ESS rough surfaces is calculated with the scalar Kirchhoff approximation, and its variation with the parameters in the ESS model is obtained. Compared with experimental measurements, it can be concluded that the ESS model provides a good tool to model natural rough surfaces.

We study the moment method (MM) to deal with Harr wavelet basis due to the problem of electromagnetic scattering from the fractal rough surface. The vanishing moment properties and the capability of the wavelets to adjust themselves to the fractal surface lead to a sparse impedance matrix and faster computation. Compared to the measured data and the conventional MM, the result shows that the wavelet basis functions provide substantial reductions in both memory requirements and computation time.

We investigate the effects of the injected atomic coherence on the atomic emission probability of the micromaser injected with ultracold cascade three-level atoms by considering that the atoms are initially in the coherent superposition states of the two upper levels. We show that there is no interference between the transitions from the two upper levels to the lowest level. In the large atom-field-detuning case, the atomic emission probability decreases as the coherent parameter increases. In the zero atom-field-detuning case, the atomic emission probability has three sets of resonance peaks. The reason for these results has been explained.

We find a class of new nonlinear Bogoliubov transformations and solve the eigenvalue problem of the model Hamiltonian describing the second harmonic generation with intensity-dependent coupling. These transformations differ from the previously known nonlinear quadrature-dependent Bogoliubov transformations.

A new gain saturation model of chemical oxygen-iodine lasers (COILs) is deduced from the conservation equations of the population number of upper and lower lasing levels. The present model is compared with both the Voigt profile function model and its low-pressure limit model. The differences between the Voigt profile function model or its low-pressure limit model and the model presented here are pointed out, such as the length of power extraction, the optimal range of the threshold gain. These differences are useful for the optimization of COIL adjustable parameters.

We report an efficient continuous wave (cw) operation of 946 nm and 473 nm laser beams generated from a diode-pumped composite Nd:YAG rod. A very simple compact linear cavity was employed with cavity length of 35 mm. A composite Nd:YAG laser rod was used to release thermal effects. The maximum cw output of 3.3 W at 946 nm was obtained with slope efficiency of 22% at incident pump power of 17.5 W. By intracavity doubling with an LBO crystal, as much as 590 mW of single-ended blue output at 473 nm was achieved with an optical-optical conversion efficiency of 3.4%. The total blue output would be 1.06 W with overall conversion efficiency of 6.1% if the lasers emitted in both the directions were taken into account.

We investigate the equilibrium and levitation of dust grains in a plasma sheath with various forces, in particular the wake potential force. The vertical oscillation frequency of dust chains is also obtained by including the wake potential term. It is found that the wake potential has a significant role for the levitation and oscillation of dust grains.

We study the three-dimensional magnetohydrodynamic (MHD) wave propagation in the solar atmosphere consisting of the chromosphere and corona. Pressure enhancement and velocity shear are implemented simultaneously at the bottom of the chromosphere. The global propagation of the incurred MHD waves, including fast-mode and slow-mode magnetoacoustic waves as well as Alfvén wave, can be identified. Wave front positions obtained numerically with respect to specific waves fit well with those calculated with local MHD wave speeds.

The radial profile of electrostatic Reynolds stress, plasma poloidal rotations, radial and poloidal electric fields have been measured in the plasma boundary region of the HL-1M tokamak using a multiarray of Mach/Langmuir probes. In the experiments of ohmic discharge, lower hybrid current drive, supersonic molecular beam injection (SMBI) and multi-shot pellet injection, the correlation between the Reynolds stress and poloidal flow in the edge plasma is presented. The radial profile changes of the Reynolds stress and poloidal flow velocity V_pol with lower hybrid wave injection power and SMBI injection are obtained. The results indicate that the sheared poloidal flow can be generated in tokamak plasma due to the radially varying Reynolds stress.

An axially extracted virtual cathode oscillator (vircator) with a feedback annulus is proposed and configured through particle-in-cell simulation. This compact device needs no guiding magnetic field. Its experimentally radiated microwave is measured to be of quasi-single TM₀₁ mode with a frequency range of 4.41-4.69 GHz and a power level of above 300 MW, when the diode voltage ranges between 400-480 kV and the beam current is 20-25 kA; this confirms the simulation results.

Cubic boron nitride (c-BN) crystals with dimensions of 0.3-0.4 mm, which have been synthesized using lithium nitride (Li₃N) as a catalyst with a high-pressure high-temperature method, were examined by transmission electron microscopy (TEM). The TEM result shows that there are some nanostructrued areas containing several types of nanosized foreign particles within the as-grown c-BN crystals. We find that the nanometre inclusions are hexagonal BN with the lattice constants of a = 2.054 Å and c = 6.66 Å, tetragonal B₂₅N with a = 8.79 Å and c = 5.08 Å, tetragonal B₅₃N with a = 8.79 Å and c = 5.08 Å, and hexagonal Li₃N with a = 3.648 Å and c = 3.875 Å.

Crystallization behaviour of the amorphous Zr₇₀Cu₂₀Ni₁₀ alloy within the supercooled liquid region has been investigated by means of differential scanning calorimetry (DSC) and transmission electron microscopy (TEM). It is found that the relationship between the incubation time, which is necessary for the amorphous Zr₇₀Cu₂₀Ni₁₀ alloy to nucleate and grow, and the annealing temperature obeys an exponential function. A similar relationship can also be observed between the peak time corresponding to the minimum of the exothermic reaction in the DSC scan and the annealing temperature. TEM observations confirm that the first exothermic peak in the DSC trace of amorphous Zr₇₀Cu₂₀Ni₁₀ alloy mainly corresponds to the precipitation of the Zr₂Cu phase, while the second peak mainly corresponds to the precipitation of the nanoscale Zr₂Ni phase.

We investigate the oxidation behaviour of Si_1-xGe_x alloys (x = 0.05, 0.15, and 0.25). The oxidation of SiGe films with different compositions was carried out in O₂ (dry) atmosphere at 800, 900 and 1000°C, respectively, for various lengths of time. The thickness and property of the nanoparticle and nanolayer in oxide films and germanium segregation in oxidation of SiGe alloys are measured by using a high precision ellipsometer. The results are in good agreement with the Rutherford backscattering spectrometry, profile dektak instrument and high-resolution scanning transmission electron microscopy. We found that the Ge content in the oxide layer increases with the Ge content in SiGe alloys, and that the Ge content in the oxide film decreases with the increasing oxidation temperature and time. Rejection of Ge results in piling up of Ge at the interface between the growing SiO₂ and the remaining SiGe, which forms a nanometre Ge-rich layer. Substantial interdiffusion of Si and Ge takes place in the remaining SiGe, which leads to the complicated distribution of Ge segregation. We find a nanometre cap layer over the oxide film after fast oxidation, in which there are many Ge nanoparticles. We analyse the kinetics and mechanism of the nanostructure of the oxide and Ge segregation in oxidation of Si_1-xGe_x alloys.

We have studied the temperature spectra of internal friction and relative dynamic modulus of the Fe-(25 wt%)Cr-(5 wt%)Al alloy with different grain sizes. It is found that a peak appears in the internal friction versus temperature plot at about 550°C. The peak is of a stable relaxation and is reversible, which occurs not only during heating but also during cooling. Its activation energy is 2.5 (± 0.15) eV in terms of the Arrhenius relation. In addition, the peak is not obvious in specimens with a smaller grain size. It is suggested that the peak originates from Zener relaxation.

We show the effective stress reduction in diamond films by implanting carbon ions into alumina substrates prior to the diamond deposition. Residual stresses in the films are evaluated by Raman spectroscopy and a more reliable method for stress determination is presented for the quantitative measurement of stress evolution. It is found that compressive stresses in the diamond films can be partly offset by the compressive stresses in the alumina substrates, which are caused by the ion pre-implantation. At the same time, the difference between the offset by the pre-stressed substrates and the total stress reduction indicates that some other mechanisms are also active.

We study the energy-dispersive x-ray diffraction and Raman scattering of LiTaO₃ at high pressure. The result remains stable up to 36 GPa. The average isothermal bulk modulus and its pressure derivative are obtained to be k₀ = (225±6) GPa and k₀' = 1.3±0.5 at zero pressure by the Birch-Murnaghan equation of state and the ``universal'' equation of state. The linear incompressibility of LiTaO₃ between the a- and c-directions differs by a factor of four, which shows that the compression is anisotropic.

We generalize Kawasaki's dynamics, spin-pair exchange mechanism, to a spin-pair redistribution mechanism, and we present a normalized redistribution probability. As an application, we treat the one-dimensional kinetic Gaussian model and obtain the exact diffusion equation and the temperature-dependent diffusion coefficient. We find that the diffusion process can slow down infinitely near the critical point and obtain the critical dynamic exponent z = 2 that is independent of the assumed mechanism, either Glauber-type or Kawasaki-type.

The photoluminescence of Eu³⁺-doped yttrium oxide chloride embedded in nanoporous glass has been observed. In comparison with those in the powder phosphor, the emission lines of Eu³⁺ ions become much broader and blueshift was observed in the lines due to ⁵D₀→⁷F₂ transitions and the Eu-O charge transfer excitation band. The ratio intensities of the ⁵D₀→⁷F₁ transitions to the ⁵D₀→⁷F₂ transitions of Eu³⁺ ion become higher and change at different excitation wavelengths, such as 393 nm and 254 nm. The two excitation wavelengths belong to the 4f→4f transition of the Eu³⁺ ion and the Eu-O charge transfer, respectively. This material may be developed into a new luminescent glass.

A phenomenological expression of the metal-insulator transition temperature is proposed for AMnO₃ manganese perovskites by taking into account the distortion of the Mn-O-Mn bond due to A-cation size and the strain-dependent effect due to performed Jahn-Teller distortions, independently. Using reasonable physical parameters, the calculated results give excellent agreement with experimental data obtained in polycrystalline samples of La_2/3(Ca_1-xBa_x)_1/3MnO₃, providing a strong support to this approach.

Band offsets and total energy of Wannier excitons in multilayers are affected by dimensional and auto-correlation effects, and sp³-d coupling is consequently modified. Thus, the calculation of the Zeeman splitting in the quantum wells has to take into account these effects, especially when the mismatch cannot be disregarded. In this work, the theoretical study of these combined effects has been performed for Cd_1-xMn_xTe/CdTe multilayers embedded by Cd_1-yZn_yTe as the substrate (or the buffer) on one side and as a cladding layer on the other side. This sample allows us to highlight the role played by the substrate (buffer) and the growth direction on the Zeeman splitting in such multilayers.

We study mesoscopic hopping conductance by computer simulation distribution functions (DFs). It is found that the distributions obtained by choosing randomly the chemical potentials (for a fixed impurity configuration), which corresponds to a typical experimental situation, coincide with those obtained when both impurity configuration and chemical potential are chosen randomly, in agreement with the ergodicity hypothesis. The DFs in shape obtained for one-dimensional systems are found to be quite close to the predictions of the theory by Raikh and Ruzin. For the two-dimensional case, the DFs both for a narrow system and thin film look to be similar (and close to the one-dimensional case). The DF for the conductance of the square sample is nearly Gaussian.

Effective spin coupling between conduction electrons mediated by local Cu moments in the doped CuO₂ plane may induce the instability of the normal states of conduction electrons and pairing at Cu sites, where the superexchange interaction between local moments influenced by hole doping has been found to be Ising-like in recent experiments. By a mean field approach, we show that spin pairing and strong pair-pair interaction in the doped antiferromagnetic ordered Ising-like CuO₂ plane gives rise to high-temperature superfluid condensation and the exceptional features of quasi-particle excitation in cuprates such as spin gap, pseudogap, and the linear temperature dependence of resistivity ρ_ab in the normal states.

We try to extend our previous zero-temperature tunnelling theory for the exchange coupling between two ferromagnets separated by an amorphous semiconducting barrier to the case of finite temperature. The result exhibits that the tunnelling electrons can absorb or emit phonons when they tunnel through the amorphous barrier at finite temperatures so that the interlayer exchange coupling is heat activated. This agrees with the experiments.

The dielectric properties of free-standing diamond films grown by the dc arc-jet plasma method are measured by an impedance analyser in the temperature range of 298-573 K and at frequencies between 1000 Hz and 1 MHz. In the temperature and frequency ranges, the loss tangent can be expressed as a function of temperature and frequency. The loss tangent increases slightly with increasing temperature and frequency. The dielectric properties of the diamond films decrease with the increasing deposited temperature. The structure and quality of diamond films have been analysed by scanning electron microscopy, x-ray diffraction and Raman spectroscopy.

Single-layer polymer light-emitting diodes are prepared from blends of poly(N-vinylcarbozole) (PVK) doped with tris(8-hydroxy-quinoline) aluminium (Alq₃) of 2 wt% (sample a) and 0.2 wt% (sample b). The onset of PVK transient electroluminescence (EL) is delayed with respect to that of Alq₃ in sample a under pulsed excitation, while the EL onsets of Alq₃ and PVK in sample b are simultaneous. The total carrier mobility of the Alq₃-rich regions in sample a is larger than that of the PVK-rich regions. However, the total carrier mobility is homogeneous in sample b. The phase image of atomic force microscopy and photoluminescence spectra of samples a and b indicate that the separated phase of samples a and b exists in the PVK-rich and Alq₃-rich regions. The variance of the doping concentration and separated phase in blends results in the different carrier transport mobility of Alq₃-rich and PVK-rich regions.

Ellipsometric parameters of a series of spin-coated thin films of palladium phthalocyanine derivatives with bromine and tetraalkoxyl substitutes (PdPc(OC₈H₁₇)₄Br_m, m = 0,2,3,4) are determined from a rotating analyser-polarizer type of scanning ellipsometer. The optical, dielectric constants and absorption coefficients of the films in the 500-800 nm wavelength region are reported. The results show that refractive index N (N = n-k), dielectric constant ε (ε = ε₁-ε₂) and absorption coefficient α in the region 500-800 nm are influenced by bromine atom substituted on the conjugated phthalocyanine ring regularly. It is found that there is approximately a linear relationship between the resonance absorption wavelengths of the films and the number of bromine atoms substituted on the phthalocyanine ring.

Composite arrays of multi-wall carbon nanotubes (MWNTs) and silicon nanowires (SiNWs) are fabricated by means of the chemical vapour deposition method in porous anodic aluminium oxide (AAO) templates. The results of the scanning electron microscopy, high-resolution transmission electron microscopy, and transmission electron microscopy have shown that SiNWs are successful nested or filled in the hollow cavities of synthesized MWNT arrays in AAO templates to form MWNT-SiNW composite arrays. The photoluminescence (PL) intensity degradation and a blueshift of PL peak position, usually created from the chemical instability of the SiNW surfaces, are decreased and eliminated clearly in the composite arrays. The composite arrays of MWNTs-SiNWs exhibit more enhanced intensity and stability of PL performance than the SiNW arrays deposited in AAO templates.

Diamond crystals, with dimensions of about 0.5-0.6 mm, were synthesized in the presence of Fe-Ni and Fe-Ni-Si catalyst solvents under high-pressure-high-temperature (HPHT) conditions. The as-known dendritic pattern was clearly seen on the (111) or (100) planes of diamond single crystals grown using Fe-Ni as a catalyst solvent. However, the conventional dendritic pattern was not observed in diamonds grown in the presence of Fe-Ni-Si alloy catalyst. Trigonal-type, pyramid-type, polygonal-type and rectangular-type growth hillocks were clearly observed on the (111) and (100) surfaces of diamonds grown from the Fe-Ni-Si-C system, and the density of the hillocks is very high at some positions. Clear successive growth layers can also be found on the (111) planes of the high-pressure diamond single crystals grown in the presence of Fe-Ni-Si alloy catalyst. The growth hillocks distributed on the (111) and (100) planes of the diamonds generally occur on or near growth steps, and some of the hillocks terminate at certain solid inclusions and voids. Growth hillocks on the (111) and (100) surfaces directly indicate the spiral growth mechanism under HPHT. A possible formation process for growth hillocks is proposed.

We study the pulsed laser ablation of wurtzite gallium nitride (GaN) films grown on sapphire, using the femtosecond laser beam at a central wavelength of 800 nm as the source for the high-speed ablation of GaN films. By measuring the backscattered Raman spectrum of ablated samples, the dependence of the ablation depth on laser fluence with one pulse was obtained. The threshold laser fluence for the ablation of GaN films was determined to be about 0.25 J/cm². Laser ablation depth increases with the increasing laser fluence until the amount of removed material is not further increased. The ablated surface was investigated by an optical surface interference profile meter.

Zinc oxide films were grown on sapphire and Si(001) substrates by reactive electron beam evaporation at low substrate temperatures. Atomic force microscopy (AFM), x-ray diffraction (XRD), and photoluminescence excitation (PLE) are employed to characterize the as-grown films. The AFM measurements have shown that all of the ZnO films present pillar-like growth properties, but the dimensional uniformity of the ZnO crystal pillars grown on sapphire was better than that on Si(001). The XRD results indicated that the prepared ZnO films both on sapphire and Si(001) were all highly c-axis oriented; the linewidths of ZnO (002) are only 0.19° and 0.28°, respectively. The PLE characterizations revealed the continuum absorption of the samples grown on sapphire. However, in the PLE spectra of the ZnO films grown on Si(001) substrates, a broad peak appears at the high-energy region, which indicates the formation of ZnO quantum dot structures on Si(001).

Aluminium nitride (AlN), with much higher thermal conductivity, is considered to be an excellent alternative to the SiO₂ layer in traditional silicon-on-insulator (SOI) materials. The silicon-on-aluminium-nitride (SOAN) structure was fabricated by the smart-cut process to alleviate the self-heating effects for traditional SOI. The convergent beam Kikuchi line diffraction pattern results show that some rotational misalignment exists when two wafers are bonded, which is about 3°. The high-resolution x-ray diffraction result indicates that, before annealing at high temperature, the residual lattice strain in the top silicon layer is tensile. After annealing at 1100°C for an hour, the strain in the top Si decreases greatly and reverses from tensile to slightly compressive as a result of viscous flow of AlN.

The presence of α-Fe(N), γ'-Fe₄N and ε-Fe₂N_1-x phases and the phase equilibrium between α-Fe(N) and γ'-Fe₄N, and γ'-Fe₄N and ε-Fe₂N_1-x have been studied at low temperatures below 350°C, according to the binary Fe-N phase diagram calculated using the sublattice-compound energy model. The α-Fe(N), γ'-Fe₄N and ε-Fe₂N_1-x phases would be thermodynamically stable at the low temperatures. Thermodynamic phase equilibrium of the iron nitrides is supported by the experimental results, explaining the phase formation and its stability in the Fe-N system at low temperatures.

Undoped and Mn-doped Ba_1-xSr_xTiO₃ (BST) thin films have been fabricated on Pt/Ti/SiO₂/Si by an aqueous acetate sol-gel method. The BST stock solution can be easily mixed with an aqueous metal ion solution and is stable at room temperature. The annealing temperature of the doped and undoped films is between 650-750°C. The x-ray photoelectron spectra results show that the Mn 2p_3/2 valence state in the BST is the same as that of the original Mn(II) dopant. The dielectric constant of the BST thin films can be increased to 800, and the loss tangent can be decreased to 0.01 due to the Mn(II) doping. The leakage current of the BST films can also be greatly reduced.

Membrane viscosity of the reconstituted vesicles was calibrated by rotational diffusion of bacteriorhodopsin (BR) in dimyristoylphosphatidylcholine (DMPC) and egg phosphatidylcholine (PC) vesicles. Rotational diffusion of BR in the vesicles was measured by flash-induced absorption anisotropy decay. BR was, for the first time, reconstituted successfully into DMPC and egg PC vesicles. From the measurement of flash-induced absorption anisotropy decay of BR, the value of rotational diffusion coefficient D was obtained from each curve fitting by a global fitting procedure and, in turn, membrane viscosity η was estimated from D. The results have shown that membrane viscosity is temperature-dependent. It was decreased as temperature increased, but a transition occurred in the region of the respective phase transition of DMPC and egg PC, respectively. The decrease of η was fast near the phase transition for DMPC and egg PC. Few effects of lipid/BR ratio and glycerol or sucrose in suspension medium on membrane viscosity were found.

An analytical model of black hole (BH) evolution is proposed by considering the Blandford-Znajek process with a transient magnetized accretion disc, which is used as a central engine for powering gamma ray bursts (GRBs). The state of BH evolution can be described by the representative points in the corresponding sub-regions of a parameter space. It is shown that the BH spin might be spun up rather than slowed down, provided that the ratio of the angular velocity of the magnetic field lines to that of the BH horizon is greater than a critical value. In addition, the effects of some initial values of the BH system on the evolution terminals and the output energy for GRBs are discussed in the parameter space.

Using the evolutionary population synthesis technique, we present the latest integrated colours for instantaneous burst single stellar populations (SSPs) of different metallicities and we investigate their colour evolution. Unlike previous research, we adopt the stellar evolutionary models that employ, amongst other things, recent opacities and a revised equation of state (EOS), and include evolutionary processes such as convective overshooting, thermal pulses and dredge-up. The models are used in the convenient form of analytical fitting functions. In addition, we use the BaSeL model for the library of stellar spectra. This model provides an extensive low-resolution theoretical flux distribution and UBVRIJHKLM colours, which have been calibrated empirically or semi-empirically, for a wide range of stellar parameters.

We propose a new model of distinct thin circular disc shells to analyse the radio map of the supernova remnant (SNR) G16.2-2.7 from NRAO VLA Sky Survey at 1.4 GHz and the radio sources around it. It is obtained that the 20 radio sources around the SNR G16.2-2.7 distribute on the four thin circular disc shells. The results support the shell-like structure strongly and further indicate that the shell-like structure is several thin circular disc shells. Because the shell-like structure dominates the total sample, our result is important for research of the radio morphology of SNRs.