Self-gravitating radiation in anti-de sitter space

Equilibrium configurations of self-gravitating massless thermal radiation inside spherical boxes of radiusR in asymptotically anti-de Sitter space (A = -3/b ₂) are constructed numerically for a range of central densities. For each box radius considered (R/b = 0, 1/2, 1, 2, 4, ), there is a unique configuration with maximal total mass and entropy, and another (at a lower central density) with maximum asymptotic red-shifted temperature. With the box removed toR=, the maximum total mass and entropy of self-gravitating thermal radiation areM _max 0.4598b0.7964(–A)^–1/2 andS _max1.3560a ^1/4 b ^3/2 3.0910a ^1/4(–A)^–3/4, and the maximum red-shifted temperature is     

Negative mass cyclotron resonance maser

Physical principles, design and operation characteristics of a negative mass cyclotron resonance maser inp-type germanium are considered in this paper. The formation of anisotropic inverted distributions of negative effective mass heavy holes in strong electric and magnetic fieldsE H [001], resulting in negative conductivity in the millimetre and submillimetre wavelength ranges, is discussed. The generation is observed at 0.9 to 8mm in low compensated germanium samples with the hole concentration rangeN ₀ 2×10¹² to 2×10¹⁴ cm^–3 at low temperaturesT 25 K in electric fieldsE 40 to 350Vcm^–1. The maser frequency is tuned by the magnetic field corresponding to a cyclotron resonance frequency of carriers with an effective mass ofm _c 0.4m ₀. The spectral width of the emission in single mode operation does not exceed several megahertz. A pulse duration of 1 to 200 s and a repetition rate off _rep 1 to 200 Hz has been obtained limited by sample heating. Possibilities of improving the maser characteristics inp-Ge as well as in other A_III B_v semiconductors and the perspectives of new frequency tuning methods due to the application of uniaxial stress and magnetic field are demonstrated.     

A study of a fullyc-axis oriented dc-sputtered thin film of YBa2(Cu0.98 57Fe0.02)3O6.8 by means of CEMS,XRD and SEM

A fullyc-axis oriented thin film of YBa₂(Cu_0.98 ⁵⁷Fe_0.02)₃O_6.8 prepared by planar dcsputtering has been investigated by means of Mössbauer spectroscopy. Room temperature⁵⁷Fe conversion electron Mössbauer spectra taken at different angles between the -ray direction and the normal (=c-axis) of the film show four subspectra: A (quadrupole splitting E _Q1.9 mm/s), B (E _Q1 mm/s), C (E _Q0.5 m/s) and D (E _Q1.6 mm/s). For subspectra A, B and C, we found the same hyperfine parameters as already published on other samples. The hyperfine parameters for subspectrum D are determined for the first time using a fully oriented sample. For D, we found the asymmetry parameter 0.6 andV _zz (the main component of the electric field gradient) lying in the a-b-plane.     

Reinterpretation of narrow bandwidths in a model for 5d electrons in the heavy rare-earth metals

The narrow widthsW(1 eV) of 5d subbands occurring in a model for 5d electrons in the heavy rare-earth metals are reinterpreted as effective bandwidths for the purpose of determining the equilibrium occupation numbers of 5d subbands. It is shown that, if explicit consideration of interactions between 5d electrons is limited to intraatomic Coulomb interactions without exchange, then, to first order in the intraatomic repulsion energyU between 5d electrons, these effective widths satisfyW=W ₁-FU. HereW ₁ is a rectangular-subband equivalent of the overall subband width, andF is a numerical factor, the value of which depends on the local basis states and number of 5d electrons per atom. For the model being discussed it is estimated thatF=0.6±0.4. A valueW ₁ ^B 4 eV is inferred forW ₁ in Gd from results of band-structure calculations. The termFU cannot account for all of the difference betweenW ₁ ^B andW; the discrepancy is attributed to effects of correlation onW ₁.     

Hot hole effects in uniaxially stressedp-type germanium under E∥P∥ [1 1 1]

High field behaviour of holes in uniaxially stressedp-type germanium for stressP and the electric fieldE along the [1 1 1] axis is studied. The field dependence of the drift velocity, the frequency dependence of the longitudinal differential mobility and the spectral dependence of the sub-band population for direct hole transitions between the upper and lower splitted sub-bands are calculated by the Monte-Carlo method. A Gunn-type negative differential mobility is demonstrated to appear atP 7 to 8 kbar,E 0.15 to 4 kV cm^–1 in a frequency rangev 0 to 100 GHz. It is shown, that the stimulated emission and current increase observed by I. V. Altuhovet al. [1] cannot be ascribed to the direct hole transitions between the sub-bands because the population inversion of the transitions is absent.     

Ordered-disordered ternary alloys by atomic layer epitaxy

Ga₀₅In₀₅P ternary alloys, lattice-matched to GaAs substrates, were grown by atomic layer epitaxy. The growth proceeded by the deposition of monolayers of In-P-Ga-P in a self-regulated fashion. The ternary alloys were found to have different crystal and bandgap structures depending on the growth conditions. Films deposited on (1 0 0) oriented GaAs substrates have a random (disordered) structure withE _g 1.9 eV. However, the same ternary alloy deposited on misoriented substrates showed a high degree of ordering withE _g 1.76 eV. The ordered structure is in the form of highly strained monolayer superlattices (InP-GaP) oriented along the (1 1 1) direction. The ordered-disordered transition can also be achieved by Se doping to the 10¹⁷ cm^–3 range. We report on the atomic layer epitaxy growth conditions for both ordered and disordered GaInP films. We also discuss several possible quantum well structures based on this ternary alloy.     

Low-load friction behavior of epitaxial C60 monolayers

We report on¹³C MAS NMR experiments in the low temperature phase of Rb₁C₆₀. Two different lines are observed with line shifts of 110 ppm and 50 ppm. The line at 50 ppm is a signature ofsp ³ carbons and can be interpreted in terms of a hypothetical polymerization along the crystallographica-axis. This supports a quasi 1 D structure of the A₁C₆₀ in the low temperature phase.     

Martensitic transformation in La1−x Yb x Ag1−y In y

The structural phase transformation of La_1–x Yb _x Ag_1–y In _y has been studied on single crystals by low temperature Laue-technique. The martensitic transformation in this pseudobinary intermetallic alloy has to be characterized as a weak orthorhtombic distortion of a single I centered unit cell (c/a1.04;a/b1.006) and a collective slipping or twinning of these cells that gives a fixed orientation between the remaining cubic room temperature structure and the martensitic phase. Above room temperature exists an order-disorder transformation from the CsCl-B2 structure to an at room temperature metastable W-A2 structure. There is no dramatic change in the physical properties of this alloy by substituting La by Yb, so we may approximate our results to LaAg_1–y In _y .This paper is dedicated to Prof. Dr. S. Methfessel on the occasion of his 60^th birthday     

Determination of the partition coefficients of the nonionic detergent C12E7 between lipid-detergent mixed membranes and water by means of Laurdan fluorescence spectroscopy

The membrane-water partition coefficient of the detergent C₁₂E₇ between water and C₁₂E₇/POPC mixed membranes has been determined by means of steady-state fluorescence spectroscopy. The emission spectra of the fluorescent probe Laurdan were used as an indicator of membrane composition at different membrane concentrations in the sample. The partition coefficient expressed as the ratio of the mole fractions of the detergent in the membrane and water phases is about 6^*10⁵ at low molar ratios of C₁₂E₇/POPC (R _c ) and decreases rapidly with increasingR _c . The limiting detergent content of the lamellar phase (R _c ^* >0.8) is indicated by a minimum ofP(R _c ).     

Search for Higgs Boson in UHE Cosmic Rays

Considering the SM Higgs boson mass in the range of (95–235) GeV, we present here a mechanism for indirect searches of this scalar in UHE cosmic rays interactions. The mechanism is the decay of Higgs bosons which are produced through bubble formation due to vacuum excitation in an UHE cosmic rays interactions with air nuclei. We develop a model of hadronic interaction based on algorithms of the GENCL code of the UA5 experiment of CERN and some physics of CORSIKA code (Karlsruhe report), incorporating a fraction of energy transfer to bubble formation through vacuum excitation and subsequent multiparticle production via conversion of Higgs boson to heavy fermion pairs. Such events are expected to have high multiplicity and excess muons. This mechanism has significant effect starting from E _P 10¹⁸eV. It is found that the average muon number decreases gradually upto 175 GeV Higgs boson mass and remain practically constant thereafter for all primary energies (E _P) above 10¹⁸ eV and for all fractions of energy transfer (f _e 0.01–0.5). The fluctuation of muon multiplicity decreases with E _P and increases very slowly with Higgs mass upto 175 GeV, remaining practically invariant thereafter.     

At what energy does gravity unite with grand unified theories in the early universe?

Unification of gravity with GUTs is usually expected at the Planck energyE _pl10¹⁹ GeV. However, the vastly different values of the two couplings atE _Pl ( _GUT 1, _grav 1) would make such unity (atE _Pl) implausible unless there is a drastic change in the behavior of either gravity or GUTs aroundE _Pl. We picture gravity and GUTs to be unified at energies >E_Pl with a single dimensionless coupling constant ( _U 1) and described by a scale-invariant action quadratic in the Weyl curvature (with Yang-Mills fields). Breaking of scale invariance atE _Pl then separates the interactions into gravity, now described by a Hilbert action with a dimensionalG and GUTs woth a dimensionless _GUT and YM action. Problems with Klein-Kaluza unification of gravity with GUTs are also discussed in this context.     

Structural phase transitions in ‘hcp’ C70 single-crystals

The thermal expansion of vapor-grownC ₇₀ single crystals ahs been investigated using high-resolution capacitance dilatometry from 5–380 K. Measurements were made both parallel and perpendicular to the hexagonalc-axis. Three first-order phase transitions which we associate with the consecutive disordering of theC ₇₀ molecules are observed upon heating at 280 K (long-axis spinning), 300 K (long-axis precession) and 355 K (quasi-free rotation), respectively. The highest-temperature transition exhibits a very large (50 K) thermal hysteresis. Powder and single-crystal X-ray diffraction show that the crystals are predominantly hexagonal-close-packed (HCP) with an idealc/a1.63 above 360 K andc/a1.84 at 295 K.     

Phase-matched third-harmonic generation of Nd: Glass-laser picosecond pulses in a new cyanine-dye solution

The phase-matched direct tripling of picosecond light pulses of a mode-locked Nd: glass laser in a new cyanine dye PMC is studied. The solvents trifluoroethanol (TFE) and hexafluoroisopropanol (HFIP) are applied. The S ₀–S ₁ absorption peak of the dye is around =480 nm and the absorption cross section at the third-harmonic wavelength of ₃=351.3 nm is only ₃1×10^–19 cm². Phase-matching occurred at concentrations of C_PM=0.0874 mol/dm³ in HFIP and 0.1088 mol/dm³ in TFE. A third-harmonic energy conversion efficiency of _E0.01 was achieved at a pump-laser peak intensity of I _0L2.5×10¹¹ W/cm² in a 5 mm long sample of PMC in TFE. The conversion efficiency is limited by destruction of phase-matching due to the intensity-dependent nonlinear refractive index of the dye solutions.     

Crystal field parameters and crystal field linewidths in the (REY)Pd3 and (REY)Al2 alloys

The LLW-parametersx andW of dilute rare earth impurities (RE=Pr, Nd, Tb, Dy, Ho, Er, Tm;c0.05), in the cubic matrices YPd₃ and YAl₂ could be determined unequivocally in the crystal field scheme of Lea, Leask and Wolf by inelastic neutron scattering. The crystal field parameters derived fromx andW are not consistent with the point charge model. The ratio of N(E _F)J_ex for the (REY)Pd₃ and (REY)Al₂ extracted from the RE-linewidths correlates with the corresponding ratio extracted from their magnetic ordering temperatures.Supported by Sonderforschungsbereich 125, Deutsche Forschungsgemeinschaft     

a-b plane anisotropy of single-domain crystals of Bi2Sr2CaCu2O8

The polarized reflectance of thea-b plane of single-domain Bi₂Sr₂CaCu₂O₈ crystals is anisotropic above and belowT _c . The normal-state infrared conductivity is higher forEa whereas the high-frequency conductivity is higher alongb, particularly for transitions associated with the Bi–O layers. BelowT _c there is a definite anisotropy to the far-infrared absorption, with a finite absorption forEb down to 20 meV. This anisotropy of thea-b plane could be due either to anisotropy of the superconducting gap or to anisotropy of the midinfrared component to the conductivity.     

Total neutron multiplicities as a measure of the violence in heavy ion reactions

Energy spectra and multiplicities of neutrons from the reaction system 838 MeV³²S projectiles on¹⁹⁷Au have been measured in coincidence with binary fragmentations. Neutron detection was performed simultaneously in a 4 scintillator sphere and by time-of-flight. The linear momentum transfer (LMT) and the excitation energyE _CN ^* are deduced with the folding angle technique. Neutron multiplicities are compared for consistency and discussed as a measure of LMT andE _CN ^* . The saturation ofM ₄ (E _CN ^* ) beyondE _CN ^* 400 MeV seen for several systems of high fissility (x0.8) is attributed to the spreading of the folding angle distribution and the increasing competition of charged particle evaporation.     

Electron-cluster interactions

Beam depletion spectroscopy has been used to measure absolute total inelastic electron-sodium cluster collision cross sections in the energy range fromE0.1 toE6 eV. The investigation focused on the closed shell clusters Na₈, Na₂₀, and Na₄₀. The measured cross sections show an increase for the lowest collision energies where electron attachment is the primary scattering channel. The electron attachment cross section can be understood in terms of Langevin scattering, connecting this measurement with the polarizability of the cluster. For energies above the dissociation energy the measured electron-cluster cross section is energy independent, thus defining an electron-cluster interaction range. This interaction range increases with the cluster size.     

Thermal configurations of oxygen in silicon

The central position and the infrared absorption coefficient of the 9 m band of Si samples were measured with Fourier transform infrared spectroscopy (FTIR) at temperatures from T=77 K to 775 K. The infrared absorption coefficients were corrected by considering background absorption and free carrier absorption calculated from the increased free carrier concentration and from the resistivity determined from Hall effect measurements. We found the central position of the 9 m band to shift to longer wavelengths with increasing temperature. The concentration [O_i] of interstitial oxygen is almost constant for T<600 K, but decreased rapidly for T>600 K. These results verified there are two types of thermal configurations of oxygen in silicon: The bonded Si₂O configuration with a binding energy E _b0.8 to 1.0 eV at T77 K to 600 K, and the Si₂O configuration coexists with a quasi-free interstitial oxygen (QFIO) state for T>600 K. The lattice potential barrier E _L, which retards QFIO atoms from migrating in the lattice, is estimated to be 1.5 to 1.6 eV. From these configurations the anomalous diffusivity of oxygen in silicon can be explained quite well.     

Relativistic pseudo-Jahn-Teller effect in the square-planar molecules with a central atom

We consider the relativistic multi-mode pseudo-Jahn-Teller effect (²E_u + ²A_2u) × (b_ig + b_2g + e_u) for square-planar molecular complexes with a heavy central atom and the odd number of electrons.

All 32 elements of the double spin group D_4h are determined in the form of space-matrix operators. The 6 × 6 vibronic matrix is derived in the quadratic (with respect to the normal coordinates) approximation for the contributions of electrostatic (non-relativistic) Hamiltonian and in linear approximation for contribution of spin-orbital coupling. Vibronic matrix is represented on the basis of double-value irreducible representations of the symmetry group D_4h