2013年, 第59卷, 第06期　
刊出日期：2013-06-15

  

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  Solving Nonlinear Fractional Differential Equation by Generalized Mittag-Leffler Function Method

  A.A.M. Arafa, S.Z. Rida, A.A. Mohammadein, H.M. Ali

  理论物理通讯. 2013, 59(06): 661-663.

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  In this paper, we use Mittag-Leffler function method for solving some nonlinear fractional differential equations. A new solution is constructed in power series. The fractional derivatives are described by Caputo's sense. To illustrate the reliability of the method, some examples are provided.
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  Breather Dynamics of the Sine-Gordon Equation

  Stephen Johnson, Anjan Biswas

  理论物理通讯. 2013, 59(06): 664-670.

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  This paper studies the adiabatic dynamics of the breather soliton of the sine-Gordon equation. The integrals of motion are found and then used in soliton perturbation theory to derive the differential equation governing the soliton velocity. Time-dependent functions arise and their properties are studied. These functions are found to be bounded and periodic and affect the soliton velocity. The soliton velocity is numerically plotted against time for different combinations of initial velocities and perturbation terms.
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  On Integrable Properties for Two Variable-Coefficient Evolution Equations

  张玉峰, 韩众, Honwah Tam

  理论物理通讯. 2013, 59(06): 671-678.

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  With the help of the extended binary Bell polynomials, the new bilinear representations, Bäcklund transformations, Lax pair and infinite conservation laws for two types of variable-coefficient nonlinear integrable equations are obtained, respectively, which are more straightforward than previous corresponding results obtained. Finally, we obtain new multi-soliton wave solutions of a reduced soliton equations with variable coefficients.
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  2D Pauli Equation with Hulthén Potential in the Presence of Aharonov-Bohm Effect

  N. Ferkous, A. Bounames

  理论物理通讯. 2013, 59(06): 679-683.

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  The 2D Pauli equation with Hulthén potential for spin-1/2 particle in the presence of Aharonov-Bohm (AB) field is solved analytically, on the assumption that an effective approximation is used for the centrifugal term. Singular and regular solutions of the problem are obtained. It is shown that the AB field lifts the degeneracy of the energy levels. The range of the flux parameter for which singular solutions are allowed is modified compared to the pure AB case. When the screening parameter vanishes, it is shown that the obtained energy spectrum becomes the same as that of the Aharonov-Bohm Coulomb problem.
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  Conformists and Contrarians in a Kuramoto Model with Uniformly Distributed Natural Frequencies

  袁地, 杨俊忠

  理论物理通讯. 2013, 59(06): 684-688.

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  A generalization of the Kuramoto model in which oscillators are coupled to the mean field with random signs is investigated in this work. We focus on a situation in which the natural frequencies of oscillators follow a uniform probability density. By numerically simulating the model, we find that the model supports a modulated travelling wave state except for already reported π state and travelling wave state in the one with natural frequencies following Lorenztian probability density or a delta function. The dependence of the observed dynamics on the parameters of the model is explored and we find that the onset of synchronization in the model displays a non-monotonic dependence on both positive and negative coupling strength.
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  Relativistic Treatment of Spinless Particles Subject to a q-Deformed Morse Potential

  Sami Ortakaya

  理论物理通讯. 2013, 59(06): 689-692.

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  The approximate analytical solutions of the Klein-Gordon equation with equal scalar and vector q-deformed Morse potential are presented for arbitrary l-states by using Laplace integral transform. The energy eigenvalues and corresponding wave functions are obtained for n and l values. In this study, in the non-relativistic limit c→∞, it has been also provided that the energy eigenfunctions for Klein-Gordon system turn into those for Schrödinger one.
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  Quantum Discord of Non-X State

  姚晶莹, 董裕力, 朱士群

  理论物理通讯. 2013, 59(06): 693-699.

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  The level surfaces of quantum discord for a class of two-qubit states are investigated when the Bloch vectors  and  are perpendicularly oriented. The geometric objects of tetrahedron T and octahedron O are deformed. The level surfaces of constant discord are formed by three interaction "tubes" along three orthogonal directions. They shrink to the center when the Bloch vectors are increased and are expanded and cut off by the state tetrahedron T when the quantum discord is increased. In the phase damping channel, the quantum discord keeps approximately a constant when the time increases.
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  Probabilistic Teleportation of Three-Atom State via Five-Atom Cluster State

  于立志, 吴韬

  理论物理通讯. 2013, 59(06): 700-702.

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  A scheme for probabilistic teleportation of an unknown three-atom entangled state via a five-atom non-maximally entangled cluster state as quantum channel is proposed. In this scheme, the sender performs two Bell state and a single-atom measurements on the atoms, the receiver can reconstruct the original state with a certain probability by introducing an auxiliary atom and operating appropriate unitary transformations and controlled-not (C-not) operations according to the sender Alice's measurement results. As a result, the probability of successful teleportation is determined by the smallest two of the coefficients' absolute values of the cluster state. The considerable advantage of our scheme is that we employ a non-maximally entangled cluster state as quantum channel in the scheme, which can greatly reduce the amount of entanglement resources and need less classical bits. If we employ a maximally entangled cluster state as quantum channel, the probabilistic teleportation scheme becomes usual teleportation, the successful probability being 100%.
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  Dynamics of Nonautonomous Dark Solitons

  刘冲, 杨战营, 张明, 张涛, 杨文力, 岳瑞宏

  理论物理通讯. 2013, 59(06): 703-710.

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  We solve a generalized nonautonomous nonlinear Schrödinger equation analytically by performing the Hirota's bilinearization method. The precise expression of a parameter ∈, which provides a compatibility condition and dark soliton management, is obtained. Comparing with nonautonomous bright soliton, we find that the gain parameter affects both the background and the valley of dark soliton (∈²≠1) while it has no effects on the wave central position. Moreover, the precise expressions of a nonautonomous black soliton's (∈²=1) width, background and the trajectory of its wave central, which describe the dynamic behavior of soliton's evolution, are investigated analytically. Finally, the stability of the dark soliton solution is demonstrated numerically. It is shown that the main characteristic of the dark solitons keeps unchanged under a slight perturbation in the compatibility condition.
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  Constraints on the R-Parity Violating Couplings Using the Newest Measurement of the Decay B_s⁰→μ⁺μ^-

  李承, 吕才典, 高向东

  理论物理通讯. 2013, 59(06): 711-713.

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  Recently, the LHCb collaboration reported the first evidence for the decay B_s⁰→μ⁺μ^-. A branching ratio of B(B_s⁰→μ⁺μ^-) = (3.2_-1.2^+1.5)×10^-9 is given. Using the newest data, and together with the most precise predictions of the Standard Model contributions to the decay, we derive the constraints on the combinations of the R-parity violating parameters. Our results are several orders of magnitudes stronger than the constraints in the previous literature. We also update the constraints on the relevant parameters using the upper limit of B(B_d⁰→μ⁺μ^-).
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  Microscopic Dynamics of Nonsequential Double Ionization by Elliptically Polarized Few-Cycle Laser Pulses

  余本海, 李盈傧, 李方涛

  理论物理通讯. 2013, 59(06): 714-718.

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  With the classical ensemble model, we investigate nonsequential double ionization (NSDI) of xenon atoms using 780 nm, 0.25 PW/cm² elliptically polarized few-cycle laser pulses. The momentum distribution of correlated electron along the long axis of the laser polarization plane shows an obvious V-like structure locating at the third quadrant, and the momentum along the short axis of the laser polarization plane are mainly distributed in the second and fourth quadrants. Moreover, we demonstrate that the Coulomb repulsion interaction plays a decisive role to the above results. By back analyzing the classical trajectories of NSDI, we find that there are two kinds of recollision trajectories mainly contribute to NSDI, and the different microscopic dynamics for the two kinds of trajectories are clearly explored.
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  Integrability Test and Spatiotemporal Feature of Breather-Wave to the (2+1)-Dimensional Boussinesq Equation

  罗红英, 王传坚, 刘俊, 戴正德

  理论物理通讯. 2013, 59(06): 719-722.

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  Painlev? integrability has been tested for (2+1)D Boussinesq equation with disturbance term using the standard WTC approach after introducing the Kruskai's simplification. New breather solitary solutions depending on constant equilibrium solution are obtained by using Extended Homoclinic Test Method. Moreover, the spatiotemporal feature of breather solitary wave is exhibited.
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  New Rogue Wave Solutions of (1+2)-Dimensional Non-Isospectral KP-II Equation

  郭艳凤, 凌黎明, 戴正德

  理论物理通讯. 2013, 59(06): 723-728.

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  The generalized binary Darboux transformation for the (1+2)-dimensional non-isospectral KP-II equation is presented. Moreover, as a direct application, the new rogue wave solutions for the (1+2)-dimensional non-isospectral KP-II equation are constructed by the generalized binary Darboux transformation.
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  The Mathematical Analysis for Peristaltic Flow of Hyperbolic Tangent Fluid in a Curved Channel

  S. Nadeem, E.N. Maraj

  理论物理通讯. 2013, 59(06): 729-736.

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  In the present paper, we have investigated the peristaltic flow of hyperbolic tangent fluid in a curved channel. The governing equations of hyperbolic tangent fluid model for curved channel are derived including the effects of curvature. The highly nonlinear partial differential equations are simplified by using the wave frame transformation, long wave length and low Reynolds number assumptions. The reduced nonlinear partial differential equation is solved analytically with the help of homotopy perturbation method (HPM). The physical features of pertinent parameters have been discussed by plotting the graphs of pressure rise and stream functions.
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  Numerical Simulation of 2-D Radiation-Drive Ignition Implosion Process

  勇珩, 宋鹏, 翟传磊, 康洞国, 谷建法, 杭旭登, 古培俊, 江松

  理论物理通讯. 2013, 59(06): 737-744.

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  A Lagrangian compatible radiation hydrodynamic algorithm and the nuclear dynamics computing module are developed and implemented in the LARED Integration code, which is a radiation hydrodynamic code based on the 2-D cylindrical coordinates for the numerical simulation of the indirect-drive Inertial Confined Fusion. A number of 1-D and 2-D ignition implosion numerical simulations by using the improved LARED Integration code (ILARED) are presented which show that the 1-D numerical results are consistent with those computed by the 1-D radiation hydrodynamic code RDMG, while the simulation results of the 2-D low-mode radiative asymmetry and hydrodynamic instability growth, according to the physical analysis and anticipation, are satisfactory. The capsules driven by the sources from SGII experiments are also simulated by ILARED, and the fuel shapes agree well with the experimental results. The numerical simulations demonstrate that ILARED can be used in the simulation of the 1-D and 2-D ignition capsule implosion using the multi-group diffusion model for radiation.
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  Time-Dependent Cylindrical and Spherical Solitary Structures and Double Layers of Dust Ion-Acoustic Waves in Ultra-Relativistic Dense Plasma

  T. Akhter, M.M. Hossain, A.A. Mamun

  理论物理通讯. 2013, 59(06): 745-750.

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  Cylindrical and spherical (nonplanar) solitary waves (SWs) and double layers (DLs) in a multi-ion plasma system (containing inertial positively as well as negatively charged ions, non-inertial degenerate electrons, and negatively charged static dust) are studied by employing the standard reductive perturbation method. The modified Gardner (MG) equation describing the nonlinear propagation of the dust ion-acoustic (DIA) waves is derived, and its nonplanar SWs and DLs solutions are numerically analyzed. The parametric regimes for the existence of SWs, which are associated with both positive and negative potential, and DLs which are associated with negative potential, are obtained. The basic features of nonplanar DIA SWs, and DLs, which are found to be different from planar ones, are also identified.
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  Elastic, Piezoelectric and Acoustic Properties of Wurtzite MnO from Density Functional Calculation

  韩晗

  理论物理通讯. 2013, 59(06): 751-755.

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  The wurtzite MnO has been obtained lately and is expected to have large potential in varies applications. Since elastic properties are the bases of various applications, we calculate these properties of wurtzite MnO based on the density-functional theory and compare it with other two phases of MnO (rocksalt and zinc-blende MnO). The Young's modulus of wurtzite and zinc-blende MnO are 65.6 GPa and 73.4 GPa, respectively, which are much lower than those of rocksalt MnO (177.6 GPa). More importantly, both the Poisson ratio and the bulk modulus to shear modulus ratio indicate that wurtzite MnO should have much better ductile properties than rocksalt MnO. The calculated piezoelectric constants of wurtzite MnO are comparable to those of ZnO. This suggests wurtzite MnO is a good piezoelectric material. Furthermore, the slowness surfaces of acoustic waves of them are given from Christoffel equation.
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  Positron Energy Levels in Cd-Based Semiconductors

  B. Abbar, S. Méçabih, S. Amari, N. Benosman, B. Bouhafs

  理论物理通讯. 2013, 59(06): 756-762.

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  Using the full potential linearized augmented plane wave FP-LAPW method within local density approximation LDA, we have studied positron diffusion and surface emission in Cd-based semiconductors. This requires the calculation of electron and positron band structures. In the absence of experimental and theoretical data for CdX (X=S, Se, Te) we have treated the Si, which has been studied by several authors, as a test case. Predictive results on positron effective masses, deformation potentials, positron work functions, diffusion constants and positron mobilities are presented for CdX (X=S, Se, Te). Our calculated data for Si are compared with experimental and recent theoretical results.
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  Polaron Effect of a Two Electron Parabolic Quantum Dot

  S. Saravana Kumar, A. John Peter, Chang Kyoo Yoo

  理论物理通讯. 2013, 59(06): 763-768.

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  Polaron induced double electron in a quantum dot is investigated using the exact diagonalization techniques and the compact density-matrix approach. The dependence of nonlinear optical processes on the incident photon energies and the polaronic effect are brought out. The linear, third order non-linear optical absorption coefficients and the refractive index changes of singlet and triplet states as a function of photon energy are obtained with and without the inclusion of polaronic effect. It is found that the geometrical confinement and the effect of polaron have great influence on the optical properties of dots.
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  Skew Information for a Single Cooper Pair Box Interacting with a Single Cavity Field

  N. Metwally, A. Al-Mannai, M. Abdel-Aty

  理论物理通讯. 2013, 59(06): 769-772.

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  The dynamics of the skew information (SI) is investigated for a single Cooper Pair Box (CPB) interacting with a single cavity field. By suitably choosing the system parameters and precisely controlling the dynamics, novel connection is found between the SI and entanglement generation. It is shown that SI can be increased and reach its maximum value either by increasing the number of photons inside the cavity or considering the far off-resonant case. The number of oscillations of SI is increased by decreasing this ratio between the Josephson junction capacity and the gate capacity. This leads to significant improvement of the travelling time between the maximum and minimum values.
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  Dynamical Consensus Algorithm for Second-Order Multi-Agent Systems Subjected to Communication Delay

  刘成林, 刘飞

  理论物理通讯. 2013, 59(06): 773-781.

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  To solve the dynamical consensus problem of second-order multi-agent systems with communication delay, delay-dependent compensations are added into the normal asynchronously-coupled consensus algorithm so as to make the agents achieve a dynamical consensus. Based on frequency-domain analysis, sufficient conditions are gained for second-order multi-agent systems with communication delay under leaderless and leader-following consensus algorithms respectively. Simulation illustrates the correctness of the results.
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  High-Precision Direct Method for the Radiative Transfer Problems

  张妍, 侯素青, 杨平, 吴开谡

  理论物理通讯. 2013, 59(06): 782-788.

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  It is the main aim of this paper to investigate the numerical methods of the radiative transfer equation. Using the five-point formula to approximate the differential part and the Simpson formula to substitute for integral part respectively, a new high-precision numerical scheme, which has 4-order local truncation error, is obtained. Subsequently, a numerical example for radiative transfer equation is carried out, and the calculation results show that the new numerical scheme is more accurate.