不同卸围压速率下花岗岩的力学性质及声发射特征

为了研究不同卸围压速率下花岗岩的力学性质,利用RMT-150B岩石力学试验系统对花岗岩试样进行恒轴压卸围压应力路径试验。试验结果表明:相同的初始围压下,随着卸围压速率增大,岩样的延性减小,表现为脆性破坏。卸围压速率越大,卸围压阶段的应变率越高,但总变形量小;当卸围压的速率相同时,初始围压越高,卸围压阶段岩样的应变率和总变形量越大。采用Mogi-Coulomb强度准则对试验结果进行拟合,结果显示:卸围压速率对花岗岩的黏聚力有劣化作用,对岩石的内摩擦角有强化作用;卸围压速率越小,振铃计数的活跃期越长,表明在低卸围压速率下,花岗岩岩样内部损伤发展缓慢且完全。     

三轴应力下花岗岩加载破坏的能量演化和损伤特征

为揭示不同围压下硬岩在破坏过程中的力学性质和能量演化规律,基于RMT-150B岩石力学试验系统对花岗岩试样进行不同围压条件下常规三轴压缩试验。研究结果表明:岩样的峰值应力和围压具有较强的线性关系,利用Mohr-Coulomb强度准则求出花岗岩的黏聚力为23.548 MPa,内摩擦角为57.629°。围压对花岗岩加载破坏过程中能量演化的影响显著,岩石的峰值能量、弹性应变能以及耗散能都随着围压的增大而增大,且两者呈线性增加关系。根据岩石的线性储能规律,提出了确定岩石应力阈值的方法。围压越大,起裂应力和扩容应力越大,且岩样起裂点处与扩容点处的能量也越大;当围压较低时,岩石破坏前储存的能量较少,破坏时能量释放速率低,岩样表现为典型低劈裂破坏;在高围压情况下,能量快速释放,岩样表现为剪切破坏。基于能量演化规律,提出了岩石损伤演化模型,得到了花岗岩的损伤变量D在不同围压下加载破坏过程中的演化规律。     

On the convergence of reflectionless approximations to confining potentials

The construction of reflectionless potentials supporting a prescribed spectrum of Schrödinger bound states is discussed and related to the inverse problem for confining potentials. A simple formula is derived for the Jost solution in a one-dimensional reflection-less potential with N bound states. This leads to compact expressions for the potential and the bound-state wavefunctions in terms of the bound-state energies. For symmetric potentials, N-fold product formulas are obtained for bound-state wavefunctions and their slopes at the origin. Corresponding quantities in a confining potential are given by infinite products. Comparison of the finite-product and infinite-product expressions allows a demonstration of the convergence of the reflectionless results to the confining potential results as N → ∞. Several sum rules satisfied by the reflectionless potential at the origin are applied to numerical studies of convergence.     

Correlation effects and bound states

Bound states in a simple quark model that are due to correlation effects are analyzed. The confining properties of this model in meson (quark-antiquark and diquark) channels manifest themselves at any quark momenta, and an extra potential field may only enhance the confining effect.     

Reconstruction of fractional quantum Hall edges

We study the interplay of electron-electron interaction, confining potential and effects of finite temperature at the edge of a quantum Hall liquid. Our exact diagonalization calculation indicates that edge reconstruction occurs in the fractional quantum Hall regime for a variety of confining potential, including ones that correspond to a "sharp" edge. Our finite temperature Hartree-Fock calculation for integer quantum Hall edges indicates that reconstruction is suppressed above a certain temperature. We discuss the implication of our results on recent edge tunneling and microwave absorption experiments.     

Confinement from spontaneous breaking of scale symmetry

We show that one can obtain naturally the confinement of static charges from the spontaneous symmetry breaking of scale invariance in a gauge theory. At the classical level a confining force is obtained and at the quantum level, using a gauge invariant but path-dependent variables formalism, the Cornell confining potential is explicitly obtained. Our procedure answers completely to the requirements by 't Hooft for “perturbative confinement”.     

Chiral symmetry breaking at finite temperature in Coulomb gauge QCD

Chiral symmetry breaking at finite temperature is analysed in Coulomb gauge QCD, using a suitably renormalised gap equation. In Coulomb gauge the gap equation is derived using the Ward identities and the Dyson equations for the vector and axial-vector vertices. Making the ladder approximation to the Bethe-Salpeter kernel relates the chiral symmetry breaking parameters to the static quark potential. It is thus possible to use a confining potential in the analysis of chiral symmetry breaking. We extend this to finite temperature. For a confining potential there is no chiral symmetry restoration at any finite temperature.     

Calculations of Electron Structure of Endohedrally Confined Helium Atom with B—Spline Type Functions

The B-spline basis set method is used to study the properties of helium confined endohedrally at the geometrical centre of a fullerene.The boundary conditions of the wavefunctions can be simply satisfied with this method.From our results,the phenomenon of “mirror collapse” is found in the case of confining belium.The interesting behaviors of confining helium are also discussed.     

限制环境下类氢体系的共振增强现象

采用B样条方法，以囚禁于巴基球内的Be³⁺为例，计算了限制环境下类氢体系 在不同外阱形状和位置下2s—3p振子强度随外阱深度的变化.2s，3p态都被限制在外阱时出 现共振增强，在坍塌点发现共振增强峰.计算结果表明，共振增强现象对外阱形状不敏感， 但是对外阱的限制能力有要求，同时还受到外阱位置的影响. 关键词： B样条 巴基球 振子强度 共振增强     

Modern Trends in Physics Research. Third International Conference on Modern Trends in Physics Research. Cairo,Egypt 6–10 April 2008, edited by Lotfia M. El Nadi

The reaction power densities for the important nuclear fusion reactions are compared with the radiation losses due to Bremsstrahlung and cyclotron radiation. Some properties of an ionized plasma and the particle motions in such a plasma are discussed and methods of containing a plasma within magnetic confining fields are described. The present ideas on the stability of such confining fields, resulting from several theoretical studies, are outlined, and various means of heating the plasma are discussed. The main features of the experimental devices disclosed at Geneva in 1958 are compared, and the leading experimental results reported at the 1959 I.E.E. Convention on Thermonuclear Processes are reviewed.     

High pressure experiments on AlxGa1−xAs-GaAs quantum-well heterostructure lasers

Hydrostatic pressure experiments on Al_xGa_1?xAsGaAs quantum-well heterostructure (QWH) laser diodes are described. Data are presented giving ～11.5meV/kbar for the bandgap vs. pressure coefficient at lower pressures, with a change to 8.5–9meV/kbar at higher pressures. We suggest that this behavior is caused by biaxial and shear stresses in the active region induced by doping or composition mismatch relative to the confining layers, or between the n and p confining layers themselves. A model consistent with the experimental data is presented.     

Spectral Properties of Endohedrally Confined Hydrogen Atom and Hydrogen—Like Ions Obtained by Using B—Spline Basis Set

A B-spline method has been used to calculate the electron structure of endohedrally confined hydrogenlike atoms.The boundary conditions were conveniently satisfied with such the method.The evolution of the energy spectrum,as function of the depth of the confining well,exhibits a “mirror collapse”.Ions with higher ionicity have more “collapse lines”,the energies change more sharply at “collapse points”,and the oscillator strengths change more violently with the depth of the confining well.     

Dust particles in a thermophoretic trap in a plasma

The feasibility of confining dust particles in a plasma by thermophoretic forces was demonstrated. An extended dust structure in a positive glow discharge column was experimentally obtained at liquid nitrogen temperature. The dust structure was confined in an electrostatic-thermal trap, in which vertical stability was provided by the summed action of longitudinal electrostatic field and thermophoretic forces. Traps of this kind can be analyzed in terms of the general principles developed for confining particles in traps with the use of electric and magnetic multipole fields. We were able to change the shape and volume of the structure and even separate it into parts by varying temperature fields.     

Confining medium and absorptive overlay: Their effects on a laser-induced shock wave

In this paper the characteristics (such as amplitude, width) of a laser-induced shock wave under confining conditions is studied. For engineering applications, a physical study of this method is useful in order to optimize this technique. We have first introduced a new pressure gauge – PVDF (polyvenyliden fluoride) gauge with short rise time and wide linear response range. Experimentally, by measuring the generated pressures under different confining materials, the relationship between the pressures and the acoustic impedance of confining materials, is illustrated, which somewhat agrees with the theoretical calculation. We have also found that under confining conditions laser-induced shock waves persist longer than a laser pulse. Then, the effects of black paint overlay (absorptive overlay) is studied. We experimentally point out that a black paint overlay placed before an irradiated target can greatly increase the generated pressure under any confining material in our experiments for its beneficial effect on the plasma-generating process. To our surprise, comparing the impulse ( ), which the shock wave induced under absorptive overlay executes on the target, to that induced under no black paint overlay, the increase ratio is approximately equal.     

X-Ray double crystal rocking curves of Ga1−x Al x As/GaAs laser structures

Summary The double crystal X-ray rocking curves of Ga_1−x Al _x As/GaAs laser structures, with both a single and double confinement, have been calculated on the basis of the Takagi-Taupin dynamica theory. It has been demonstrated that very small changes in the thickness and composition of the active and the internal confining layers give rise to dramatic modifications of the rocking curves; this offers in principle a very powerful tool for measuring very precisely thickness and composition of these layers. However, the shape of the Bragg peak of the external confining layers exhibits a nearly period behaviour as a function of the thickness of the active or the internal confining layer; a simple relation between the thickness period and the composition difference of the considered layers has been obtained for the first time. Finally, the effect of the interchange of the confining layers on the rocking curves has been discussed.     

Infrared saturation and phases of gauge theories with BRST symmetry

We investigate the infrared limit of the quantum equation of motion of the gauge boson propagator in various gauges and models with a BRST symmetry. We find that the saturation of this equation at low momenta distinguishes between the Coulomb, Higgs and confining phase of the gauge theory. The Coulomb phase is characterized by a massless gauge boson. Physical states contribute to the saturation of the transverse equation of motion of the gauge boson at low momenta in the Higgs phase, while the saturation is entirely due to unphysical degrees of freedom in the confining phase. This corollary to the Kugo–Ojima confinement criterion in linear covariant gauges also is sufficient for confinement in general covariant gauges with BRST and anti-BRST symmetry, maximal Abelian gauges with an equivariant BRST symmetry, non-covariant Coulomb gauge and in the Gribov–Zwanziger theory.     

Bulk and edge properties of the Chern-Simons Ginzburg-Landau theory for the fractional quantum Hall effect

The Chern-Simons Ginzburg-Landau theory for the fractional quantum Hall effect is studied in the presence of a confining potential We review the bulk properties of the model and discuss how the plateau formation emerges without any impurity potential. The effect is related to changes, by accumulation of charge, at the edge when the chemical potential is changed. Fluctuations about the ground state are examined and an expression is found for the velocity of the massless edge mode in terms of the confining potential. The effect of including spin is examined for the case when the system is fully polarized in the bulk. In general a spin texture may appear at the edge, and we examine this effect in the case of a small spin-down component. The low-frequency edge modes are examined and a third-order equation is found for velocities which indicates the presence of three different modes. The discussions are illustrated by numerical studies of the ground states, both for the one- and two-component cases.     

QCD/String holographic mapping and glueball mass spectrum

Recently Polchinski and Strassler reproduced the high energy QCD scaling at fixed angles from a gauge string duality inspired by the AdS/CFT correspondence. In their approach a confining gauge theory is taken as approximately dual to an AdS space with an IR cut-off. Considering such an approximation (AdS slice) we found a one to one holographic mapping between bulk and boundary scalar fields. Associating the bulk fields with dilatons and the boundary fields with glueballs of the confining gauge theory we also found the same high energy QCD scaling. Here, using this holographic mapping, we give a simple estimate for the mass ratios of the glueballs assuming the AdS slice approximation to be valid at low energies. We also compare these results to those coming from supergravity and lattice QCD.Received: 10 September 2003, Revised: 19 November 2003, Published online: 9 January 2004     

Effects of Electron-Phonon Interaction on Linear and Nonlinear Optical Absorption in Cylindrical Quantum Wires

The electron-phonon interaction influences on lineax and nonfineax optical absorption in cylindrical quantum wires （CQW） with an infinite confining potential axe investigated. The optical absorption coefficients are obtained by using the compact-density-matrix approach and iterative method, and the numerical results are presented for GaAs CQW. The results show that the electron-phonon interaction makes a distinct influence on optical absorption in CQW. The electron-phonon interaction on the wave functions of electron dominates the values of absorption coefficients and the correction of the electron-phonon effect on the energies of the electron makes the absorption peaks blue shift and become wider. Moreover, the electron-phonon interaction influence on optical absorption with an infinite confining potential is different from that with a finite confining potential.     

Tuning of band-gap of phononic crystals with initial confining pressure

<正>The mechanism of the shift of the band-gap in phononic crystal(PC) with different initial confining pressures is studied experimentally and numerically.The experimental results and numerical analysis simultaneously indicate that the confining pressure can efficiently tune the location in and the width of the band-gap.The present work provides a basis for tuning the band-gap of phononic crystal in engineering applications.