Instabilities during the evaporation of a film: Non-glassy polymer + volatile solvent

: We consider solutions where the surface tension of the solvent s is smaller than the surface tension of the polymer p. In an evaporating film, a “plume”, of solvent-rich fluid, then induces a local depression in surface tension, and the surface forces tend to strengthen the plume. We give an estimate (at the level of scaling laws) for the minimum thickness e ^* required to obtain this instability. We predict that a) e ^* is a decreasing function of the solvent vapor pressure pv(e ^* ~ pv^-1/2); b) e ^* should be very small (< 1 micron) provided that the initial solution is rather dilute; c) the overall evaporation time for the film should be much longer than the growth time of the instability. The instability should lead to distortions of the free surface and may be optically observable. It should dominate over the classical Benard-Marangoni instability induced by cooling.     

A NEW TRANSITION BRANCH OF THE 5.2 SEC ISOMER IN 183W

During the bombardment of 14.8MeV neutron on natural wolfram samples a γ-ray with energy 291.7keV and halflife 5.17±0.03 sec is observed. From the experimental facts it is assumed that in addition to the two well known transition branches from the decay of 5.2 sec isomer in ¹³⁸W there exists another 11/2⁺11/2[615]→5/2^－3/2[512] isomeric (E3) transition. The hindrance factor of this new transition is calculated. It is well cosistent with the general empirical rule of k^－ forbidden isomeric transition.     

一种脒基碳酸氢盐的NMR研究

采用¹H、¹³C NMR、同核相关谱(gCOSY)、异核相关谱(gHSQC)和远程偶合谱(gHMBC)等多种核磁方法研究了一种脒基碳酸氢盐化合物N, N′-双十二烷基乙脒基碳酸氢盐的结构和构型,证明了该化合物具有两种不同的构型：A[E, Z]和B[E, E],完成了该化合物两种构型中¹H、¹³C NMR谱带的归属. 并考察了不同温度、不同极性溶剂（CDCl₃和DMSO-d₆）对此化合物两种不同构型比例变化的影响. 表明了N, N′-双十二烷基乙脒基碳酸氢盐在溶剂CDCl₃中存在两种构型A和B, 随着温度的升高,构型B的比例增加. 在溶剂DMSO-d₆中只存在一种构型A.     

Scaling Limits of Wick Ordered KPZ Equation

Consider the KPZ equation [(u)\dot](t,x)=Du(t,x)+|?u(t,x)|²+W(t,x)\dot u(t,x)=\Delta u(t,x)+|\nabla u(t,x)|^2+W(t,x), x]Â^d, where W(t,x) is a space-time white noise. This paper investigates the question of whether, for some exponents h and z, k^{mh}u(k^z t, kx) converges in some sense as k?￥k\to\infty, and if so, what are the values of these exponents. The non-linear term in the KPZ equation is interpreted as a Wick product and the equation is solved in a suitable space of stochastic distributions. The main tools for establishing the scaling properties of the solution are those of white noise analysis, in particular, the Wiener chaos expansion. A notion of convergence in law in the sense of Wiener chaos is formulated and convergence in this sense of k^{mh}u(k^z t, kx) as kMX is established for various values of h and z depending on the dimension d.     

Curve-straightening in closed Euclidean submanifolds

The flow in the negative direction of the gradient vector field associated with the functional total squared (geodesic) curvature k ² ds is the so-called curvestraightening flow. This paper will consider spaces of closed curves in closed Euclidean submanifolds. It will define these spaces of curves as submanifolds of certain Hilbert manifolds representing all curves. The main result will then be to show the existence of a particular set of functionals defined on the entire Hilbert manifold which have the following four properties: 1. The directional derivatives of these functionals may be computed by solving an initial value problem for a system of ordinary differential equations. 2. By introducing a suitable Hilbert space basis for the Sobolev spaces used, the gradients may be effectively computed (but of course not explicitly computed, except in very special cases). 3. The gradients span the space normal to the tangent space of the space of closed curves. 4. Despite the fact that these gradients in general are not given explicitly it is nevertheless possible to compute the projection onto the tangent space to the space of closed curves. In particular we do this for the gradient of k ² ds. When all details are worked out this gives us an algorithm (which we supply) for finding critical points in the space of closed curves. It is not known if the trajectories actually always converge to critical points. If the functional is modified to include a multiple of the length so the functional becomes k ²+ds then the above convergence is known for >0. The motivating application for the curvestraightening flow is the possibility of using it to find (non-trivial) closed (periodic) geodesics. Note that if =0 then a closed geodesic is a global minimum. For any , geodesics are critical but there are also other critical points, the so-called elastic curves. The paper concludes by deriving the second variation formula for k ²+ds along closed geodesics. The quadratic functional associated with the second derivative is shown to be positive definite even for non-zero along some closed geodesics in some particular manifolds of interest.     

Two-dimensional representation of position, velocity and acceleration by PFG-NMR

A novel view on the presentation of pulsed field-gradient nuclear magnetic resonance experiments to encode position and translational displacements is given. A conventional diffusion or flow experiment employing two magnetic field gradients of effective areak ₁, andk ₂ separated by a time interval Δ can formally be expressed as a means to probek space in a two-dimensional way. While for most applications, a full coverage of the [k ₁,k ₂] space is not necessary, an experiment withk ₁ = ?k ₂ can be regarded as a sampling of the secondary diagonal in [k ₁,k ₂] space. Likewise, the main diagonal is represented by the conditionk ₁ =k ₂ and encodes position. Thus, the [r ₁,r ₂] space conjugate to [k ₁,k ₂], which is obtained by Fourier transformation, can be transferred into a position/displacement correlation plot simply by rotation of the coordinate system by an angle of 45°. While displacementR =r ₂ ?r ₁ corresponds to an average velocity? =R/Δ, an extension towards higher-order derivations such as acceleration is straightforward by modification of the pulse sequence. We discuss this new concept in a general way, treating both the magnetic field and the particle position by Taylor expansions with respect to space and time, respectively, and present examples for fluid flowing through capillary systems in the light of the suggested interpretation.     

Magnetic Bloch states and Hall conductivity of a two-dimensional electron gas in a periodic potential without inversion center

Quantum states of 2D electrons are studied in a periodic potential without inversion center in the presence of a magnetic field. It is shown that the energy spectrum in magnetic subbands is not symmetric about the center of magnetic Brillouin zone E(k)≠E(?k). Singularities (phase branching points) of the electron wave function, which determine the quantization law of Hall conductivity σ_xy, are studied in the k space. It is found that a sharp change takes place in the number of points in the magnetic Brillouin zone and in the corresponding values of topological invariants determining the Hall conductivity of filled subbands. It is noted that the longitudinal conductivity of a lattice without inversion center placed in a magnetic field is not invariant with respect to a change in sign of the electric field, and a photovoltaic effect must arise in an ac electromagnetic field.     

Formation of the incommensurate ordered phase in TaC<Subscript>y</Subscript> carbide

Structural neutron diffraction studies indicate that only one ordered phase arises after the disorder-order transition in nonstoichiometric cubic tantalum carbide TaC_y. This phase arises in the composition range y = 0.79–0.89 due to long-term annealing with a decrease in temperature from 1600 to 300 K. It is incommensurate in the [1–11]_B1 direction, but it is close to commensurate M₆C₅ structures (C2/m and P3₁ space groups) in mutual arrangement of atoms and vacancies in nonmetallic (1–11)_B1 planes. The disorder-order transition channel that is associated with the formation of the incommensurate superstructure in TaC_y carbide includes two arms k ₅ ⁽⁶⁾ ≈ 0.473b₂ and k ₅ ⁽⁵⁾ = ?k ₅ ⁽⁶⁾ of the {k₅} star and arms of the {k₄} and {k₃} stars. The translation period of the incommensurate phase in the [1–11]_B1 direction is 8.9–9.1 nm, which is larger than that in the commensurate phase M₆C₅ by a factor of about 18.     

The b-completion of the Friedmann space

We study the b-completion of the three Friedmann models of the Universe, having as models for 3-space the sphere, the Euclidean space or the hyperbolic space. We show that in the first case there is just one singularity, having the full completion as only neighborhood. In the other two cases there is one essential singularity, which is the limit of all past causal geodesics; again, it has a single neighborhood. This extends results by Bosshard [On the b-boundary of the closed Friendmann Model, Commun. Math. Phys. 46 (1976) 263–268] and Johnson [The bundle boundary in some special cases, J. Math. Phys. 18 (5) (1977) 898–902] on the closed Friedmann model.     

Study of ψ(2S)Decays into pπ and KK

From a study of(2S)decays into vector-pseudoscalar final states,ρπ and KK*,based on a sample of 1.27×10⁶ produced (2S) events,we have set upper limits at 90% confidence level on the branching fractions into ρπof 3.6×10^－5, into K⁺K^*+c.c.of 2.5×10^－5,and into K⁰K^*0+c.c.of 1.2×10^－4.We find that all these decays are substantially suppressed relative to the corresponding J/ψ decays in comparison with PQCD predictions.Our results confirm the MARK Ⅱ measurements at an improved sensitivity level.     

Scale for the Production of Jets in High Energy e+e－ Collisions

The scale for visible jets produced in e⁺e^－ Collisions is studied in some details using Monte Carlo method. It is demonstrated, based on the historical fact that the 3-jet events were firstly observed in e+ e- experiments at √S=17—30GeV,and the relative transverse momentum for visible jets is in the region k_t,～5—10GeV/c. It is further shown, using a concrete example, that the number of jets in an event could be correctly evaluated only when k_t is in this region. The dynamical fluctuations inside jets determined through different values of k_t are compared carefully. It turns out that only when k_t,～5—10GeV/c the dynamical fluctuations inside jets will possess the best anomalous scaling property. The relation between the scale 5-10GeV/c of visible jets and the scale 1-2GeV of perturbative QCD is discussed.     

Experimental Study of High-Spin States in Deformed Odd-Odd 180 Ir

High spin states in deformed odd-odd ¹⁸⁰Ir have been investigated using the ¹⁵⁴Sm (³¹P, 5nγ)¹⁸⁰Ir reaction through the measurements of excitation functions at 150, 155, 160, 165 and 170 MeV beam energies, K X-γ and γ-γ coincidences at 160 MeV. A new level scheme composed of 5 rotational bands has been established. According to the band structure characteristics and the deduced in band B(M1)/B(E2) ratios, the quasiparticle configurations and spin and parity have been proposed to the observed bands. The neutron AB crossing is observed at hω_c≈0.26 MeV for the π1/2^－[541]⊙ν1/2^－[521] and π1/2^－[541]⊙ν5/2^－[512] bands. This AB crossing frequency is close to that in the ν5/2^－[512] band of ¹⁷⁹Os indicating the loss of intruder nature of the π1/2 - orbit. Gradual alignment gain in both the π9/2^－[514]⊙ν7/2⁺[633] and π9/2^－ν5/2^－[512] bands is observed which is similar to the low spin anomaly in alignment in the πh_11/2,πd_5/2 and πi_13/2 bands of neighboring Ir and Re isotopes. Different alignment properties have been discussed in the framework of cranked shell model, and a larger quadrupole deformation is suggested for the bands with π9/2^－[514] orbit involved.     

Comment on `Electronic Properties of Red P-Type Tl2S5 Single Crystals'

Recently, Gamal et al. [Chin. Phys. Lett. 22 (2005) 1530] reported the results of electrical conductivity, Hall effect and thermoelectric measurements on p-type Tl₂S₅ single crystals. From the experimental data for the temperature dependence of differential thermoelectric power, Gamal et al. determined thevalues of 2.66×10^-41kg and 2.50×10^-41kg, respectively, for the effective masses of electrons and holes in p-type Tl₂S₅, which are about ten orders of magnitude smaller than the free electron mass (9.11×10^-31kg). We argue that the anomalously small values obtained for the effective mass of chargecarriers in Tl₂S₅ have no physical significance.     

Pure annihilation type decays B0→Ds- K2*+ and Bs→Da2 in perturbative QCD approach

We calculate the branching ratios of pure annihilation type decays B⁰→D_s^- K₂^*+ and B_s→Da₂ using the perturbative QCD approach based on k_T factorization. The branching ratios are predicted to be (60.6_{-16.5-10.4-2.1}^{+17.3+4.3+3.2} )× 10^-6 for B⁰→D_s^- K₂^*+, (1.1_-0.4-0.2-0.1^+0.4+0.1+0.1)×10^-6 for B_s→D⁰a₂⁰ and (2.3_-0.8-0.4-0.1^+0.8+0.2+0.1)×10^-6 for B_s→D^-a₂⁺. They are large enough to be measured in the ongoing experiment. Due to the shortage of contributions from penguin operators, there are no direct CP asymmetries for these decays in the Standard Model. We also derive simple relations among these decay channels to reduce theoretical uncertainties for the experiments to test the accuracy of theory and search of new physics signal.     

MULTIPLICITY DISTRIBUTIONS,DISPERSION, CORRELATIONS AND KNO SCALING

Secondary charged particles produced in hadron-hadron collisions are divided quantitatively into two kinds in the light of the picture given by the authors [1, 2] and the results deduced therefrom. One of these parts, the genuine newborn particles, is analysed by means of the N(Q) dependence in [1]. Under the assumption that the dependence of the fluctuation of the number of newborn quark pairs on the ratio of kinetic to potential energies takes the form of a compound Poisson distribution, it is shown that the multiplicity distributions, dispersions, correlations and KNO scaling in pp collisions can be fitted with a single parameter on a unified basis. General formula of moments c≡<n>^k/<n>^k are given and their asymptotic properties are studied, resulting in an explanation of the appearance and behavior of the KNO scaling. A brief ldiscussion is given to the possible origin of the multiplicity distribution.     

Converse KAM: Theory and practice

We unify, extend, reinterpret and apply criteria of Birkhoff [1], Herman [9], Mather [2, 3], Aubry et al. [4, 5], and Newman and Percival [6] for the nonexistence of invariant circles for area preserving twist maps. The criteria enable one to establish regions of phase space through which no rotational invariant circles pass. For families of maps the same can be done for regions of the combined space of phase points and parameters. The criteria can be implemented rigorously on a computer, and give a practical method of proving quite strong results. As an example, we present a computer program which proved that the standard map has no rotational invariant circles for any parameter value |k|63/64.     

Oxidation of the aniline–styrene epoxide-<Emphasis Type="Italic">p</Emphasis>-toluenesulfonic acid ternary system in polar solvents: Trends and mechanism

Investigation of the kinetics of oxygen absorption by the aniline–styrene epoxide-p-toluenesulfonic acid ternary system (TS) in an acetonitrile solution led to a simple equation for the oxidation rate: V _TS = k[aniline]⁰ ? [epoxide]⁰[acid]¹ at [aniline], [epoxide] ? [acid], k = 0.77 × 10^–3s^–1, and 343 K. The data obtained indicated that a complex of the three starting reagents formed before oxidation. In a mixed solvent containing tert-butanol, the dependence of V _TS on its composition was extremum. A scheme was suggested that explained the change in the dependence V _TS = k′[aniline]^–0.63[epoxide]^0.86[acid]¹ in the mixed solvent by the decomposition of the complex in the presence of alcohol.     

Defect generation in polycrystalline Cu(In,Ga)Se2 by high-energy electron irradiation

We investigate the degradation of ZnO/CdS/ Cu(In,Ga)Se₂ heterojunction solar cells for space applications and the defect generation in polycrystalline Cu(In,Ga)Se₂ thin films by irradiation with 1-MeV electrons with fluences J_e up to J_e=5᎒¹⁸ cm^-2. Notable degradation of the solar cell performance starts at fluences of J_e=10¹⁷ cm^-2 where the open circuit voltage decreases by about 5% while short circuit current and fill factor remain essentially unaffected. Thus, Cu(In,Ga)Se₂ solar cells withstand electron fluences which are higher by one order of magnitude or more when compared to other technologies. A model describes the absolute open circuit voltage loss considering the increase of space charge recombination by electron irradiation-induced defects. Defect analysis by admittance spectroscopy shows that acceptor defects with an energy distance of approximately 300 meV from the valence band are generated at a rate %=0.017 (ǂ.01) cm^-1.     

Self-duality in dimensions 2n>4: equivalence of various definitions and the derivation of the octonionic instanton solution

We show that the notion of strong self-duality of 2-forms in dimensions 2n, defined by the equality of the absolute values of the eigenvalues of the matrix of P with respect to an orthonormal basis (Bilge et al. 1996a), is equivalent to the self-duality in the Hodge sense of P^n/2 (used in Grossman et al. 1984) and to the equality ^*P=kP^n-1 (used in Trautman 1977). We show that the octonionic instanton solution of Grossman et al. (1984), is uniquely determined from the minimality requirement of the second Pontrjagin number p₂.     

Rotational Bands in Odd-Odd 174Re

High spin states in ¹⁷⁴Re have been studied via the ¹⁵⁹Tb (²⁰Ne, 5nγ) ¹⁷⁴Re reaction through excitation function, X-γ and γ-γ coincidence measurements. A stretched E2 cascade has been identified and assigned to be the doubly decoupled band band on the л1/2^－[541]⊙v1/2^－[521] configuration. Other two bands with semidecoupled and strongly coupled characters have been found and their quasiparticle configurations are qualitatively discussed.