2017年, 第67卷, 第01期　
刊出日期：2017-01-01

  

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  Symmetry Analysis and Exact Solutions of the 2D Unsteady Incompressible Boundary-Layer Equations

  韩众, 陈勇

  理论物理通讯. 2017, 67(01): 1-8.

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  To find intrinsically different symmetry reductions and inequivalent group invariant solutions of the 2D unsteady incompressible boundary-layer equations, a two-dimensional optimal system is constructed which attributed to the classification of the corresponding Lie subalgebras. The comprehensiveness and inequivalence of the optimal system are shown clearly under different values of invariants. Then by virtue of the optimal system obtained, the boundary-layer equations are directly reduced to a system of ordinary differential equations (ODEs) by only one step. It has been shown that not only do we recover many of the known results but also find some new reductions and explicit solutions, which may be previously unknown.
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  New Exact Solutions of Time Fractional Gardner Equation by Using New Version of F-Expansion Method

  Yusuf Pandir, Hasan Huseyin Duzgun

  理论物理通讯. 2017, 67(01): 9-14.

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  In this article, we consider analytical solutions of the time fractional derivative Gardner equation by using the new version of F-expansion method. With this proposed method multiple Jacobi elliptic functions are situated in the solution function. As a result, various exact analytical solutions consisting of single and combined Jacobi elliptic functions solutions are obtained.
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  Nonlinear Self-Adjointness, Conservation Laws and Soliton-Cnoidal Wave Interaction Solutions of (2+1)-Dimensional Modified Dispersive Water-Wave System

  夏亚荣, 辛祥鹏, 张顺利

  理论物理通讯. 2017, 67(01): 15-21.

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  This paper mainly discusses the (2+1)-dimensional modified dispersive water-wave (MDWW) system which will be proved nonlinear self-adjointness. This property is applied to construct conservation laws corresponding to the symmetries of the system. Moreover, via the truncated Painlevé analysis and consistent tanh-function expansion (CTE) method, the soliton-cnoidal periodic wave interaction solutions and corresponding images will be eventually achieved.
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  Peaked Periodic Wave Solutions to the Broer-Kaup Equation

  江波, 毕勤胜

  理论物理通讯. 2017, 67(01): 22-26.

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  By qualitative analysis method, a sufficient condition for the existence of peaked periodic wave solutions to the Broer-Kaup equation is given. Some exact explicit expressions of peaked periodic wave solutions are also presented.
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  Dynamics of Entanglement and Measurement-Induced Disturbance for a Hybrid Qubit-Qutrit System Interacting with a Spin-Chain Environment: A Mean Field Approach

  M. Jafarpour, F. Kazemi Hasanvand, D. Afshar

  理论物理通讯. 2017, 67(01): 27-32.

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  We use the mean field method to study the dynamics of thermal entanglement and also the measurementinduced disturbance for a mixed qutrit-qubit system coupled to an environment, comprised of an Ising spin-chain with long range interactions, embedded in a transverse magnetic field. It is revealed that both quantities die down in long enough time and the fade out time is a decreasing function of temperature; however, the environmental magnetic field holds back the decoherence, and increases the fade out time; thus, providing a means to control and postpone the decoherence process. Moreover, it is observed that the discrepancy between the interaction strength of the qubit and the qutrit with the environment, substantially affects the decoherence behavior of the system.
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  Cryptanalysis of Controlled Mutual Quantum Entity Authentication Using Entanglement Swapping

  高干, 王悦

  理论物理通讯. 2017, 67(01): 33-36.

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  By using GHZ-like states and entanglement swapping, Kang et al.[Chin. Phys. B 24 (2015) 090306] proposed a controlled mutual quantum entity authentication protocol. We find that the proposed protocol is not secure, that is, the center, Charlie can eavesdrop the secret keys shared between Alice and Bob without being detected.
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  A Construction of Quantum Error-Locating Codes

  樊继豪, 陈汉武

  理论物理通讯. 2017, 67(01): 37-40.

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  We present the construction of quantum error-locating (QEL) codes based on classical error-locating (EL) codes. Similar to classical EL codes, QEL codes lie midway between quantum error-correcting codes and quantum errordetecting codes. Then QEL codes can locate qubit errors within one sub-block of the received qubit symbols but do not need to determine the exact locations of the erroneous qubits. We show that, an e-error-locating code derived from an arbitrary binary cyclic code with generator polynomial g(x), can lead to a QEL code with e error-locating abilities, only if g(x) does not contain the (1+x)-factor.
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  A Modified Thermodynamics Method to Generate Exact Solutions of Einstein Equations

  谭鸿威, 杨锦波, 何唐梅, 张靖仪

  理论物理通讯. 2017, 67(01): 41-46.

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  We modify the method to generate the exact solutions of the Einstein equations basing on the laws of thermodynamics. Firstly, the Komar mass is used to take the place of the Misner-Sharp energy, which is used in the original methods, and then several exact solutions of Einstein equations are obtained, including the black hole solution which is surrounded by quintessence. Moreover, the geometry surface gravity defined by Komar mass is also constructed. Secondly, we use both the Komar mass and the ADM mass to modify such method, and the similar results are obtained. Moreover, with some generalize addition to the definition of the ADM mass, our method can be generalized to global monopole spacetime.
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  Thermodynamic Analysis of Cosmological Black Hole

  M. Akbar, Tayeb Brahimi, S. M. Qaisar

  理论物理通讯. 2017, 67(01): 47-53.

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  The objective of this paper is to investigate the thermodynamic properties of McVittie universe. It turns out that the Einstein field equations are obtained by using Clausius equation near apparent horizon of McVittie universe. For the existence of horizons, different conditions in terms of McVittie parameters are discussed. Diverse cases of surface gravity are studied and conditions in terms of parameters for which surface gravity is positive, zero and negative are obtained and analyzed. It is shown that the generalized second law (GSL) holds near the apparent horizon if ?_A>0. Our results show that the heat capacity, C_P, of the universe is always negative for matter dominated phase having P=0. On the other hand, when P>0, the heat capacity C_P>0 provided R_A>√2/√8πP-3H² and negative otherwise. Furthermore, when P>0, the temperature of the universe is minimum at R_min=R_A>√2/√8πP-3H² while its heat capacity diverges.
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  Synchronization Transition of Time Delayed Complex Dynamical Networks with Discontinuous Coupling

  孙永征, 李望, 赵东华

  理论物理通讯. 2017, 67(01): 54-60.

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  This paper investigates the synchronization of time delayed complex dynamical networks with periodical on-off coupling. Both the theoretical and numerical results show that, in spite of time delays and on-off coupling, two networks may synchronize if the coupling strength and the on-off rate are large enough. It is shown that, for undirected and strongly connected networks, the upper bound of time delays for synchronization is a decreasing function of the absolute value of the minimum eigenvalue of the adjacency matrix. The theoretical analysis confirms the numerical results and provides a better understanding of the influence of time delays and on-off coupling on the synchronization transition. The influence of random delays on the synchronization is also discussed.
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  An Improved Singularity Free Self-Similar Model of Proton Structure Function

  Baishali Saikia, D. K. Choudhury

  理论物理通讯. 2017, 67(01): 61-70.

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  In this paper we make re-analysis of a self-similarity based model of the proton structure function pursued in recent years. The additional assumption is that it should be singularity free in the entire kinematic range of x:0
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  Relativistic Bound and Scattering Amplitude of Spinless Particles in Modified Schioberg Plus Manning-Rosen Potentials

  B. H. Yazarloo, H. Mehraban

  理论物理通讯. 2017, 67(01): 71-75.

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  By using an approximation for the centrifugal term, we study relativistic bound and scattering states of spin-zero particles in the presence of equal scalar and vector modified Schioberg plus Manning-Rosen potentials for any quantum numbers n and l. Energy eigenvalues and the scattering amplitude are calculated. Some special cases of the problem are also investigated.
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  Electron-Positron Pair Production in Strong Fields Characterized by Conversion Energy

  Ibrahim Sitiwaldi, 李子良, 谢柏松

  理论物理通讯. 2017, 67(01): 76-82.

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  It is demonstrated that the production mechanism of a pair which is produced from vacuum under an external field can be characterized by its conversion energy, a quantity defined as total mass-energy of this pair. The value of this quantity is checked with quantum field theoretical simulations for several field configurations and it is found that conversion energy can show all the production channels and give the yields of each channel specifically. We detect signatures of effective mass, combination of different photons as well as dynamically assisted Schwinger mechanism and represented more features of these processes in the view of conversion energy.
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  Ground State Properties of Z=126 Isotopes within the Relativistic Mean Field Model

  余圻昕, 李君清, 张鸿飞

  理论物理通讯. 2017, 67(01): 83-89.

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  The ground state properties of Z=126 isotopes with neutron numbers N=174-244 are calculated by the relativistic mean field (RMF) theory with effective interactions NL-Z2. In order to make a comprehensive understanding of the possible proton magic number Z=126, we also perform the calculations in the vicinity of Z=126, such as Z=114, 116, 118, 120, 122, 124, 128 and 130 isotopic chains. The calculated results show there exist evident magicity for proton number Z=120 and relatively weak magicity for proton number Z=126.
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  Higher-Order Corrections to Earth's Ionosphere Shocks

  H. G. Abdelwahed, E. K. El-Shewy

  理论物理通讯. 2017, 67(01): 90-96.

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  Nonlinear shock wave structures in unmagnetized collisionless viscous plasmas composed fluid of positive (negative) ions and nonthermally electron distribution are examined. For ion shock formation, a reductive perturbation technique applied to derive Burgers equation for lowest-order potential. As the shock amplitude decreasing or enlarging, its steepness and velocity deviate from Burger equation. Burgers type equation with higher order dissipation must be obtained to avoid this deviation. Solution for the compined two equations has been derived using renormalization analysis. Effects of higher-order, positive-negative mass ratio Q, electron nonthermal parameter δ and kinematic viscosities coefficient of positive (negative) ions η₁ and η₂ on the electrostatic shocks in Earth's ionosphere are also argued.
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  Laser Polarization Effect on Molecular Harmonic and Elliptically Polarized Attosecond Pulse Generation

  冯立强, 李文亮, 刘航

  理论物理通讯. 2017, 67(01): 97-110.

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  Molecular harmonic spectra of H₂⁺ driven by the linearly polarized laser pulses with different polarized angles have been theoretically investigated through solving the two-dimensional time-dependent Schrödinger equation. (i) Below-threshold harmonic spectra show a visible enhanced peak around the 7th harmonic (H7), which produces a red-shift phenomenon as the internuclear distance increased. Theoretical analyses show the red-shift enhanced peak is caused by the laser-induced electron transfer between the ground state and the 1st excited state of H₂⁺. (ii) Due to the two-centre interference phenomenon, the above-threshold harmonic spectra exhibit many maxima and minima. (iii) With the introduction of the polarized angle, the anomalous elliptically polarized harmonics can be found. But, with the introduction of the spatial inhomogeneous effect, not only the ellipticities of the harmonics are equal to a stable value of ε~0:1-0.3, but also the harmonic cutoffs are extended. As a result, four super-bandwidths of 407 eV, 310 eV, 389 eV, and 581 eV can be obtained. Time profiles of the harmonic generations have been shown to explain the harmonic characteristics. Finally, a series of elliptically polarized (ε~0:1-0.3) attosecond X-ray pulses with durations from 18as to 25as can be directly produced through Fourier transformation of the spectral continuum.
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  Exact Calculation of Antiferromagnetic Ising Model on an Inhomogeneous Surface Recursive Lattice to Investigate Thermodynamics and Glass Transition on Surface/Thin Film

  黄然, Purushottam D. Gujrati

  理论物理通讯. 2017, 67(01): 111-126.

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  An inhomogeneous 2-dimensional recursive lattice formed by planar elements has been designed to investigate the thermodynamics of Ising spin system on the surface/thin film. The lattice is constructed as a hybrid of partial Husimi square lattice representing the bulk and 1D single bonds representing the surface. Exact calculations can be achieved with the recursive property of the lattice. The model has an anti-ferromagnetic interaction to give rise to an ordered phase identified as crystal, and a solution with higher energy to represent the amorphous/metastable phase. Free energy and entropy of the ideal crystal and supercooled liquid state of the model on the surface are calculated by the partial partition function. By analyzing the free energies and entropies of the crystal and supercooled liquid state, we are able to identify the melting and ideal glass transition on the surface. The results show that due to the variation of coordination number, the transition temperatures on the surface decrease significantly compared to the bulk system. Our calculation qualitatively agrees with both experimental and simulation works on the thermodynamics of surfaces and thin films conducted by others. Interactions between particles farther than the nearest neighbor distance are taken into consideration, and their effects are investigated.