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There are 25 papers published in subject: > since this site started. |
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1. Synchronization in Nearest-neighbor Coupled Oscillators with A Few Shortcuts | |||
Ao Bin,Zheng Zhigang | |||
Physics 12 February 2010 | |||
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Abstract:Synchronous dynamics in nearest-neighbor coupled chaotic oscillators with a few shortcuts is explored. The existence and stability of the partially synchronous states are studied. It is revealed that different topology of connections among oscillators gives rise to synchronized or unsynchronized dynamics. The criterion for the emergence of the partially synchronized states on a given network is theoretically discussed and proposed. The synchronization for the two-shortcut case are studied in detail, i.e., we prove that partial synchronization is always achievable for parallel networks, while the stability of partial synchronization depends crucially on the topology of connections for crossed and lambda networks. The phase diagram for the transition to partial synchronization is given for different cases. The manifestations for the transition to partial synchronization in relating to the Lyapunov exponent spectra are found and interpreted. These explorations indicate that the microscopic topology of the network have a profound effect on the macroscopic dynamical features of the system. | |||
TO cite this article:Ao Bin,Zheng Zhigang. Synchronization in Nearest-neighbor Coupled Oscillators with A Few Shortcuts[OL].[12 February 2010] http://en.paper.edu.cn/en_releasepaper/content/40188 |
2. Effect of spatial rather than temporal complexity on ecosystems | |||
Li Dong,M. C. Cross,Zheng Zhigang | |||
Physics 11 February 2010 | |||
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Abstract:We investigate the role of spatial and temporal complexity on the biomass of diffusive Gause-Lotka-Volterra systems. We find that the average total biomass is insensitive to the temporal complexity. On the other hand increasing diffusion leads to a decrease of the biomass as the spatial complexity plays an important role. At large values of the diffusion the spatial complexity saturates. We understand this region by a scaling analysis of the evolution equations. We propose that investigating the periodic windows that are typically interspersed in chaotic parameter regions is a useful test of the importance of temporal complexities. | |||
TO cite this article:Li Dong,M. C. Cross,Zheng Zhigang. Effect of spatial rather than temporal complexity on ecosystems[OL].[11 February 2010] http://en.paper.edu.cn/en_releasepaper/content/40173 |
3. Klein-Gordon and Dirac Bound States with Vector and Scalar Type-II Exponential Potentials | |||
Tian WenJie | |||
Physics 12 November 2009 | |||
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Abstract:This paper analyzes the relativistic bound states with the direct coupling of vector and scalar type-II exponential potentials, for particular under the manner of equal coupling, viz $(potential)$ for s-wave states. To solve the Klein-Gordon equation(KGE) under such circumstances is the crucial work, and manifold variable-transformations leads to an object equation whose solutions distinguish with different V_1. For V_1>0, one proceeds to obtain a parabolic cylinder equation(PCE) of the first type, which has an even and an odd parabolic cylinder series as two linearly independent solutions. Normalization requirements exclude the odd function and break the even function off to a polynomial, which gives rise to an elegant structure of the energy spectrum that explicitly increase along the radii. The case V_1<0, which leads to PCE of the second type, is in serious correspondence with that of V_1>0. As to the wave function in both cases, besides the canonical polynomial arising from parabolic cylinder series which can be complex, another terminated Taylor expansions are introduced on R. Subsequently, bound states of Dirac equation(DE) based on the complete set [H,kappa,J2,J_z] is calculated. The specific coupling manner and s-wave condition lead to the identical radial DE with that of KGE, which yields the solution for the up component straightforwardly, and subsequently induces the down component. | |||
TO cite this article:Tian WenJie . Klein-Gordon and Dirac Bound States with Vector and Scalar Type-II Exponential Potentials[OL].[12 November 2009] http://en.paper.edu.cn/en_releasepaper/content/36614 |
4. Bound States of Klein-Gordon and Dirac Equation with Type-I Vector and Scalar Poschl-Teller Potential | |||
Tian WenJie | |||
Physics 14 October 2009 | |||
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Abstract:We analyze the stationary radial Klein-Gordon equation with mixed vector and scalar potentials, and specifically for the case with V(r)=S(r) type-I Poschl-Teller potentials for s-wave bound states, we obtain the exact wave function and the energy spectrum via hypergeometric functions. As for Dirac equation, we introduce the radial functions in two ways, based on the complete sets [H, kappa, J, P] and (H, kappa,J^2,J_z), respectively. Its s-wave bound states with V(r)=S(r) lead to the identical radial equation with that of the Klein-Gordon equation, which give rise to an immediate solution. | |||
TO cite this article:Tian WenJie . Bound States of Klein-Gordon and Dirac Equation with Type-I Vector and Scalar Poschl-Teller Potential[OL].[14 October 2009] http://en.paper.edu.cn/en_releasepaper/content/35810 |
5. Total Energy-momentum of the Universe in Teleparallel Gravity | |||
Liu Yuxiao ,Zhao Zhenhua ,Yang Jie ,Duan Yishi | |||
Physics 16 September 2009 | |||
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Abstract:We investigate the conservation law of energy-momentum in teleparallel gravity by using general Noether theorem. The energy-momentum current has also superpotential and is therefore identically conserved. The total energy-momentum, which includes the contributions of both matter and gravitational fields, is given by the integral of scalar densities over a three-dimensional spacelike hypersurface. As an example, the universe in teleparallel gravity is investigated. It is shown that the total energy-momentum vanishes independently of both the curvature parameter and the three dimensionless coupling constants of teleparallel gravity. | |||
TO cite this article:Liu Yuxiao ,Zhao Zhenhua ,Yang Jie , et al. Total Energy-momentum of the Universe in Teleparallel Gravity[OL].[16 September 2009] http://en.paper.edu.cn/en_releasepaper/content/35234 |
6. Field Distribution in a Coaxial Electrostatic System with Sinusoidally Rippled Wall | |||
Zhang Shichang | |||
Physics 29 June 2009 | |||
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Abstract:A coaxial electrostatic system is studied, where the inside surface of the outer conductor is corrugated with sinusoidal ripples and connected to a negative voltage while outside surface of the inner rod is smooth and grounded. The electrostatic potential is governed by a 2-dimensional Laplace equation in a cylindrical coordinates system with sinusoidal-ripples boundary conditions. By employing separation of variables, analytical solution of the field is derived in detail. Excellent agreement between the analytical formula and the CSTsimulation is confirmed. As an important application, it can be expected to play a role of the electrostatic wiggler in a free-electron laser. | |||
TO cite this article:Zhang Shichang . Field Distribution in a Coaxial Electrostatic System with Sinusoidally Rippled Wall[OL].[29 June 2009] http://en.paper.edu.cn/en_releasepaper/content/33494 |
7. The Exact Solutions to the Gravitational Contraction in Comoving Coordinate System | |||
Ying-Qiu Gu | |||
Physics 01 April 2009 | |||
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Abstract:The gravitational collapse of a star is a warmly discussed but still puzzling problem, which not only involves the dynamics of the gases, but also the subtle coordinate transformation. In this letter, we give some more detailed investigation on this problem, and reach the results: (I). The comoving coordinate system for the stellar system is only compatible with the zero-pressure free falling particles. (II). For the free falling dust, there are three kind of solutions respectively corresponding to the oscillating, the critical and the open trajectories. The solution of Oppenheimer and Snyder is the critical case. (III). All solutions are exactly derived. There is a new kind singularity in the solution, but its origin is unclear. | |||
TO cite this article:Ying-Qiu Gu. The Exact Solutions to the Gravitational Contraction in Comoving Coordinate System[OL].[ 1 April 2009] http://en.paper.edu.cn/en_releasepaper/content/30983 |
8. Modification of energy shifts of atoms by the presence of a boundary at finite temperature and the Casimir-Polder force | |||
Zhu Zhi-Ying,Yu Hong-Wei | |||
Physics 12 March 2009 | |||
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Abstract:We study the modification by the presence of a plane wall of energy level shifts of two-level atoms which are in multipolar coupling with quantized electromagnetic fields at the finite temperature in a formalism which separates the contributions of thermal fluctuations and radiation reaction and allows a distinct treatment to atoms in the ground and excited states. The position dependent energy shifts give rise to an induced force acting on the atoms. We are able to identify three different regimes where the force shows distinct features and examine, in all regimes, the behaviors of this force in both the low temperature limit and the high temperature limit for both the ground state and excited state atoms, thus providing some new physical insights into the atom-wall interaction at finite temperature. | |||
TO cite this article:Zhu Zhi-Ying,Yu Hong-Wei. Modification of energy shifts of atoms by the presence of a boundary at finite temperature and the Casimir-Polder force[OL].[12 March 2009] http://en.paper.edu.cn/en_releasepaper/content/30209 |
9. Many-body Reduced Fidelity Susceptibility in the Lipkin-Meshcov-Glick Model | |||
Lei Xu,Jian Ma,Xiaoguang Wang | |||
Physics 09 January 2009 | |||
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Abstract:We analyze the critical properties of Lipkin-Meshcov-Glick model in terms of fidelity susceptibility through -body reduced density matrix which we regard as reduced fidelity susceptibility. By computing the -body reduced density matrix, we obtain numerically the singular properties of reduced fidelity susceptibility in the vicinity of quantum transition point as well as its scaling behavior. We also make comparative study of ground-state and reduced ground-state susceptibility. We show that the -body reduced fidelity susceptibility can also be used to characterize QPTs | |||
TO cite this article:Lei Xu,Jian Ma,Xiaoguang Wang. Many-body Reduced Fidelity Susceptibility in the Lipkin-Meshcov-Glick Model[OL].[ 9 January 2009] http://en.paper.edu.cn/en_releasepaper/content/27585 |
10. The pilot study of the heterogeneous multiagent complex systems | |||
Liying Liu,Bingzhen Xu | |||
Physics 25 April 2008 | |||
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Abstract:In this paper we study the heterogeneous multiagent complex systems base on the minority game and evolutionary minority game in stock markets. In this model, not only the number of the agents change, but also the amount invested of every agent at every time step change too. Under the underlying idea, we find they are disciplinary that distributions of the survival probability with risk coefficient or action preference, and distribution of the total assets with risk coefficient by the simulation | |||
TO cite this article:Liying Liu,Bingzhen Xu. The pilot study of the heterogeneous multiagent complex systems[OL].[25 April 2008] http://en.paper.edu.cn/en_releasepaper/content/20897 |
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