理论物理通讯

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Conservation Laws and Darboux Transformation for Sharma-Tasso-Olver Equation

薛波, 吴晨明

理论物理通讯. 2012, 58(03): 317-322.

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A hierarchy of new nonlinear evolution equations associated with a 2?2 matrix spectral problem is derived. One of the nontrivial equations in this hierarchy is the famous Sharma-Tasso-Olver equation. Then infinitely many conservation laws of this equation are deduced. Darboux transformation for the Sharma-Tasso-Olver equation is constructed with the aid of a gauge transformation.

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Integrable Hierarchy Covering the Lattice Burgers Equation in Fluid Mechanics: N-fold Darboux Transformation and Conservation Laws

闻小永, 高以天, 薛玉山, 郭睿, 齐凤华, 于鑫

理论物理通讯. 2012, 58(03): 323-330.

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Burgers-type equations can describe some phenomena in fluids, plasmas, gas dynamics, traffic, etc. In this paper, an integrable hierarchy covering the lattice Burgers equation is derived from a discrete spectral problem. N-fold Darboux transformation (DT) and conservation laws for the lattice Burgers equation are constructed based on its Lax pair. N-soliton solutions in the form of Vandermonde-like determinant are derived via the resulting DT with symbolic computation, structures of which are shown graphically. Coexistence of the elastic-inelastic interaction among the three solitons is firstly reported for the lattice Burgers equation, even if the similar phenomenon for certern continuous systems is known. Results in this paper might be helpful for understanding some ecological problems describing the evolution of competing species and the propagation of nonlinear waves in fluids.

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Nonlocal Symmetries and Exact Solutions for PIB Equation

辛祥鹏, 苗倩, 陈勇

理论物理通讯. 2012, 58(03): 331-337.

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In this paper, the symmetry group of the (2+1)-dimensional Painlev? integrable Burgers (PIB) equations is studied by means of the classical symmetry method. Ignoring the discussion of the infinite-dimensional subalgebra, we construct an optimal system of one-dimensional group invariant solutions. Furthermore, by using the conservation laws of the reduced equations, we obtain nonlocal symmetries and exact solutions of the PIB equations.

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A Matter Dominated Navigation Universe in Accordance with the Type Ia Supernova Data

李昕, 常哲, 李明华

理论物理通讯. 2012, 58(03): 338-342.

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We investigate a matter dominated navigation cosmological model. The influence of a possible drift (wind) in the navigation cosmological model makes the spacetime geometry change from Riemannian to Finslerian. The evolution of the Finslerian Universe is governed by the same gravitational field equation with the familiar Friedmann-Robertson-Walker one. However, the change of space geometry from Riemannian to Finslerian supplies us a new relation between the luminosity distant and redshift. It is shown that the Hubble diagram based on this new relation could account for the observations on distant Type Ia supernovae.

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Behavior of Collective Cooperation Yielded by Two Update Rules in Social Dilemmas: Combining Fermi and Moran Rules

夏承遗, 王磊, 王娟, 王劲松

理论物理通讯. 2012, 58(03): 343-348.

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We combine the Fermi and Moran update rules in the spatial prisoner's dilemma and snowdrift games to investigate the behavior of collective cooperation among agents on the regular lattice. Large-scale simulations indicate that, compared to the model with only one update rule, the cooperation behavior exhibits the richer phenomena, and the role of update dynamics should be paid more attention in the evolutionary game theory. Meanwhile, we also observe that the introduction of Moran rule, which needs to consider all neighbor's information, can markedly promote the aggregate cooperation level, that is, randomly selecting the neighbor proportional to its payoff to imitate will facilitate the cooperation among agents. Current results will contribute to further understand the cooperation dynamics and evolutionary behaviors within many biological, economic and social systems.

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Effects of Some Topological Ingredients on the Evolutionary Ultimatum Game

邓丽丽, 张建雄, 唐万生, 张维

理论物理通讯. 2012, 58(03): 349-358.

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This study aims at figuring out the crucial topological ingredients which affect the outcomes of the ultimatum game located on different networks, encompassing the regular network, the random network, the small-world network, and the scale-free network. With the aid of random interchanging algorithm, we investigate the relations between the outcomes of the ultimatum game and some topological ingredients, including the average range, the clustering coefficient and the heterogeneity, and so forth. It is found that for the regular, random and small-work networks, the average range and the clustering coefficient have evident impacts on the ultimatum game, while for the scale-free network, the original degree heterogeneity and the underlying rich-club characterizations are the mainly important topological ingredients that influence the outcomes of ultimatum game substantially.

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Quantum Dynamics of Entanglement and Single Excitation Transfer in LH1-RC-Type Trimer

潭庆收, 匡乐满

理论物理通讯. 2012, 58(03): 359-371.

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In this paper, we study quantum dynamics of entanglement and single excitation transfer (SET) in an LH1-RC-type trimer which can describe a basic unit cell in the LH1-RC complex in the photosynthetic process. It is shown that there exists a sudden change of entanglement at the critic point of quantum phase transition (QPT) of the system at low temperatures, the entanglement sudden change caused by the QPT is suppressed at higher temperatures. We investigate the influence of environment on entanglement and SET. We show the generation of the dephasing-assisted entanglement between a donor and an acceptor and the existence of the steady-state entanglement, and demonstrate the entanglement transfer from donor-donor entanglement to donor-acceptor entanglement in the dynamic evolution. We reveal the close relation between the SET probability and donor-acceptor entanglement. Especially, we find that the SET probability is proportional to the amount of donor-acceptor entanglement under certain conditions.

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A Scheme of Controlled Quantum State Swapping

查新未, 邹志纯, 祁建霞, 宋海洋

理论物理通讯. 2012, 58(03): 372-376.

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A scheme for controlled quantum state swapping is presented using maximally entangled five-qubit state, i.e., Alice wants to transmit an entangled state of particle a to Bob and at the same time Bob wants to transmit an entangled state of particle b to Alice via the control of the supervisor Charlie. The operations used in this swapping process including C-not operation and a series of single-qubit measurements performed by Alice, Bob, and Charlie.

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Unitary Application of the Quantum Error Correction Codes

游波, 许可, 吴小华

理论物理通讯. 2012, 58(03): 377-380.

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For applying the perfect code to transmit quantum information over a noise channel, the standard protocol contains four steps: the encoding, the noise channel, the error-correction operation, and the decoding. In present work, we show that this protocol can be simplified. The error-correction operation is not necessary if the decoding is realized by the so-called complete unitary transformation. We also offer a quantum circuit, which can correct the arbitrary single-qubit errors.

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Reflection-Transmission Transition of Bright-Bright Solitons Collision in Two Species Condensates with Repulsive Interspecies Interactions

何章明, 王登龙, 丁建文, 颜晓红

理论物理通讯. 2012, 58(03): 381-386.

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Considering repulsive interspecies interactions, we study the dynamical properties of bright-bright solitons in two species Bose-Einstein condensates by using a variational approach combined with numerical simulation. It is shown that the interactions between bright-bright solitons vary from repulsive to attractive interactions with the increasing their separating distances, and at equilibrium position the bright-bright solitons are localized. Interestingly, a transition from reflection- to transmission-collision is firstly observed, different from previous results of only reflection collision appearing there. These results will be helpful for the experimental manipulating such solitons.

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Integrability and Solutions of the (2+1)-Dimensional Broer-Kaup Equation with Variable Coefficients

王路华, 贺劲松

理论物理通讯. 2012, 58(03): 387-392.

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The integrability of the (2+1)-dimensional Broer-Kaup equation with variable coefficients (VCBK) is verified by finding a transformation mapping it to the usual (2+1)-dimensional Broer-Kaup equation (BK). Thus the solutions of the (2+1)-dimensional VCBK are obtained by making full use of the known solutions of the usual (2+1)-dimensional BK. Two new integrable models are given by this transformation, their dromion-like solutions and rogue wave solutions are also obtained. Further, the velocity of the dromion-like solutions can be designed and the center of the rogue wave solutions can be controlled artificially because of the appearance of the four arbitrary functions in the transformation.

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Analytical Periodic Wave and Soliton Solutions of the Generalized Nonautonomous Nonlinear Schrödinger Equation in Harmonic and Optical Lattice Potentials

周嘉仪, 李画眉, 何俊荣

理论物理通讯. 2012, 58(03): 393-397.

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We construct analytical periodic wave and soliton solutions to the generalized nonautonomous nonlinear Schrödinger equation with time- and space-dependent distributed coefficients in harmonic and optical lattice potentials. We utilize the similarity transformation technique to obtain these solutions. Constraints for the dispersion coefficient, the nonlinearity, and the gain (loss) coefficient are presented at the same time. Various shapes of periodic wave and soliton solutions are studied analytically and physically. Stability analysis of the solutions is discussed numerically.

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Separation Transformation and New Exact Solutions of the (N+1)-dimensional Dispersive Double sine-Gordon Equation

田野, 陈静, 张志飞

理论物理通讯. 2012, 58(03): 398-404.

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In this paper, the separation transformation approach is extended to the (N+1)-dimensional dispersive double sine-Gordon equation arising in many physical systems such as the spin dynamics in the B phase of ³He superfluid. This equation is first reduced to a set of partial differential equations and a nonlinear ordinary differential equation. Then the general solutions of the set of partial differential equations are obtained and the nonlinear ordinary differential equation is solved by F-expansion method. Finally, many new exact solutions of the (N+1)-dimensional dispersive double sine-Gordon equation are constructed explicitly via the separation transformation. For the case of N>2, there is an arbitrary function in the exact solutions, which may reveal more novel nonlinear structures in the high-dimensional dispersive double sine-Gordon equation.

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Type 1 2HDM as Effective Theory of Supersymmetry

邵华

理论物理通讯. 2012, 58(03): 405-409.

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It is generally believed that the low energy effective theory of the minimal supersymmetric standard model is the type 2 two Higgs doublet model. We will show that the type 1 two Higgs doublet model can also be as the effective of supersymmetry in a specific case with high scale supersymmetry breaking and gauge mediation. If the other electroweak doublet obtain the vacuum expectation value after the electroweak symmetry breaking, the Higgs spectrum is quite different. A remarkable feature is that the physical Higgs boson mass can be 125 GeV unlike in the ordinary models with high scale supersymmetry in which the Higgs mass is generally around 140 GeV.

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Pole Analysis of Unitarized One Loop χ PT Amplitudes —— A Triple Channel Study

戴凌云, 王轩弓, 郑汉青

理论物理通讯. 2012, 58(03): 410-414.

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In a previous paper [Commun. Theor. Phys., [arxiv:hep-ph/11081451]], we proposed a method to distin- guish poles of different dynamical origin, in unitarized amplitudes of ππ, K K system. That is based on the observation that “A Breit–Wigner resonance should exhibit two poles on different Riemann sheets which meet each other on the real axis when N_c = ∞”. In this paper, we extend our previous work [Commun. Theor. Phys., [arXiv:hep-ph/11081451]] to the ππ-K K -ηη three channel system. We reconfirm most of the predictions in our previous work [Commun. Theor. Phys., [arxiv:hep-ph/11081451]]. Especially the f₀(980) is of K K molecule nature. Other poles, including the σ, are of Breit–Wigner type.

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Further Support of the Reliability of the Limit on Photon Mass Given by the Rotating Torsion Balance Experiment

刘琳霞, 邓罡

理论物理通讯. 2012, 58(03): 415-418.

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We consider there is a vacancy in the plasma in the solar system, and calculate the vector potential produced by the magnetic field frozen in the plasma. The result shows that, in the vacancy, the vector potential produced by the magnetic field frozen in the plasma is much less than the large scale cosmic vector potential. This means if our earth is in such a vacancy, the total vector potential on the surface of the earth is dominated by the cosmic magnetic vector potential, which gives a further support of the reliability of the limit on photon mass given by rotating torsion balance experiment [Phys. Rev. Lett. 90 (2003) 081801].

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Investigation of Angular Dependence of Strong-Field Tunneling Ionization for Asymmetric Diatomic Molecule HeH²⁺

李晓娇, 赵松峰, 周效信

理论物理通讯. 2012, 58(03): 419-424.

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We determine the structure parameters for the asymmetric heteronuclear diatomic molecule HeH²⁺ at several internuclear distances with the molecular wavefunctions obtained by solving the time-independent Schrödinger equation with B-spline basis. Then the angular dependence of strong-field ionization rates of HeH²⁺ are investigated with the molecular tunneling ionization theory. We show that the shape of several lowly excited states (i.e. 2pσ ,2pπ ,3dδ ) for HeH²⁺ are reflected in the orientation dependent ionization rates very well, however, the angle-dependent ionization rate fails to follow the angular distribution of the asymptotic electron density for the ground state 1sσ . We also show that the internuclear distance dependent ionization probabilities are in a good agreement with the more accurate result obtained from the numerical solution of the time-dependent Schrödinger equation.

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Algebraic Rossby Solitary Waves Excited by Non-Stationary External Source

杨红卫, 尹宝树, 董焕河, 时云龙

理论物理通讯. 2012, 58(03): 425-431.

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The paper deals with the effects of non-stationary external source forcing and dissipation on algebraic Rossby solitary waves. From quasi-geostrophic potential vorticity equation, basing on the multiple-scale method, an inhomogeneous Korteweg-de Vries-Benjamin-Ono-Burgers (KdV-B-O-Burgers) equation is obtained. This equation has not been previously derived for Rossby waves. By analysis and calculation, four conservation laws associated with the above equation are first obtained. With the help of pseudo-spectral method, the waterfall plots are obtained and the evolutional characters of algebraic Rossby solitary waves are studied. The results show that non-stationary external source and dissipation have great effect on the generation and evolution of algebraic solitary Rossby waves.

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Influence of Intertube Additional Atoms on Sliding Behaviors of Double-Walled Carbon Nanotube

宋海洋, 耿淑芳, 查新未, 孙建

理论物理通讯. 2012, 58(03): 432-436.

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The effects of intertube additional atoms on the sliding behaviors of double-walled carbon nanotubes (DWCNTs) are investigated using molecular dynamics (MD) simulation method. The interaction between carbon atoms is modeled using the second-generation reactive empirical bond-order potential coupled with the Lennard-Jones potential. The simulations indicate that intertube additional atoms of DWCNT can significantly enhance the load transfer between neighboring tubes of DWCNT. The improvement in load transfer is guaranteed by the addition of intertube atoms which are covalently bonded to the inner and outer tubes of DWCNT. The results also show that the sliding behaviors of DWCNT are strongly dependent of additional atom numbers. The results presented here demonstrate that the superior mechanical properties of DWCNT can be realized by controlling intertube coupling. The general conclusions derived from this work may be of importance in devising high-performance CNT composites.

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Generalized Poisson-Boltzmann Equation Taking into Account Ionic Interaction and Steric Effects

刘新敏, 李航, 李睿, 田锐, 许晨阳

理论物理通讯. 2012, 58(03): 437-440.

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Generalized Poisson-Boltzmann equation which takes into account both ionic interaction in bulk solution and steric effects of adsorbed ions has been suggested. We found that, for inorganic cations adsorption on negatively charged surface, the steric effect is not significant for surface charge density <0.0032 C/dm², while the ionic interaction is an important effect for electrolyte concentration >0.15 mol/l in bulk solution. We conclude that for most actual cases the original PB equation can give reliable result in describing inorganic cation adsorption.

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Roles of Electron Hopping on Orbital Ordering for Vanadium Spinels

黄元杰, 张裕恒

理论物理通讯. 2012, 58(03): 441-444.

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We investigate the orbital ordering quantitatively for the spinel systems RV₂O₄ (R=Mg, Zn, Cd) in the viewpoint of single-ion physics through the method of diagonalization. Through the quantitative calculation, it is found that the spin-orbit (SO)coupling and the Jahn-Teller (JT) effect enable the orbital ordering under the conditions of negligible electron hopping among different V³⁺ sites. For the systems RV₂O₄, the electron hopping is implied to be observable from the energy gap in conductivity, so the orbital ordering of RV₂O₄ cannot be induced by the SO coupling and JT effect at definite temperature, which is on contrary to the conclusions in [Phys. Rev. Lett. 93 (2004) 157206].

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Microcanonical Phase Diagram of the BEG and Ising Models

李粮生, 郑宁, 史庆藩

理论物理通讯. 2012, 58(03): 445-450.

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The density of states of long-range Blume-Emery-Griffiths (BEG) and short-range Ising models are obtained by using Wang-Landau sampling with adaptive windows in energy and magnetization space. With accurate density of states, we are able to calculate the microcanonical specific heat of fixed magnetization introduced by Kastner et al. in the regions of positive and negative temperature. The microcanonical phase diagram of the Ising model shows a continuous phase transition at a negative temperature in energy and magnetization plane. However the phase diagram of the long-range model constructed by peaks of the microcanonical specific heat looks obviously different from the Ising chart.

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Effects of Inertia on Evolutionary Prisoner's Dilemma Game

杜文博, 曹先彬, 刘润然, 王震

理论物理通讯. 2012, 58(03): 451-455.

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Considering the inertia of individuals in real life, we propose a modified Fermi updating rule, where the inertia of players is introduced into evolutionary prisoner's dilemma game (PDG) on square lattices. We mainly focus on how the inertia affects the cooperative behavior of the system. Interestingly, we find that the cooperation level has a nonmonotonic dependence on the inertia: with small inertia, cooperators will soon be invaded by defectors; with large inertia, players are unwilling to change their strategies and the cooperation level remains the same as the initial state; while a moderate inertia can induce the highest cooperation level. Moreover, effects of environmental noise and individual inertia are studied. Our work may be helpful in understanding the emergence and persistence of cooperation in nature and society.

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Weighted Scaling in Non-growth Random Networks

陈光, 杨旭华, 徐新黎

理论物理通讯. 2012, 58(03): 456-462.

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We propose a weighted model to explain the self-organizing formation of scale-free phenomenon in non-growth random networks. In this model, we use multiple-edges to represent the connections between vertices and define the weight of a multiple-edge as the total weights of all single-edges within it and the strength of a vertex as the sum of weights for those multiple-edges attached to it. The network evolves according to a vertex strength preferential selection mechanism. During the evolution process, the network always holds its total number of vertices and its total number of single-edges constantly. We show analytically and numerically that a network will form steady scale-free distributions with our model. The results show that a weighted non-growth random network can evolve into scale-free state. It is interesting that the network also obtains the character of an exponential edge weight distribution. Namely, coexistence of scale-free distribution and exponential distribution emerges.

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2012年, 第58卷, 第03期　
刊出日期：2012-09-15

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2012年, 第58卷, 第03期 刊出日期：2012-09-15

2012年, 第58卷, 第03期　
刊出日期：2012-09-15