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1. Characteristics of nonautonomous W-shaped soliton and Peregrine comb in a variable-coefficient higher-order nonlinear Schrödinger equation | |||
Xing Zhang,Yin-Chuan Zhao,Feng-Hua Qi,Liu-Ying Cai | |||
Physics 17 October 2016 | |||
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Abstract:In this paper, we study the nonautonomous characteristics of the W-shaped solitons on constant backgrounds for a variable-coefficient higher-order nonlinear Schrödinger (vc-HNLS) equation. Several types of solitons are obtained in exponentially, linearly and periodically fluctuating decreasing dispersion profiles, respectively. We also show the compression effect of the third-order dispersion (TOD) coefficient on the W-shaped soliton. We further analyze the formation and spatiotemporal characteristics of the Peregrine combs (PCs) when TOD coefficient is of the periodic form. Moreover, the PC can be converted into the Peregrine wall if the modulation amplitude is equal to 1. | |||
TO cite this article:Xing Zhang,Yin-Chuan Zhao,Feng-Hua Qi, et al. Characteristics of nonautonomous W-shaped soliton and Peregrine comb in a variable-coefficient higher-order nonlinear Schrödinger equation[OL].[17 October 2016] http://en.paper.edu.cn/en_releasepaper/content/4707262 |
2. Topological Current and Steady-State Bifurcations of Vector Field | |||
ZHANG Li-Da | |||
Physics 31 May 2016 | |||
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Abstract:Using the $phi$-mapping method, we have introduce a topological current to describe the topological feature of the vector field. In this description, the equilibria can be viewed as the particles, which carry the winding numbers as their topological charges and move in the phase space as the parameter varies. Based on this description, we qualitatively discuss various steady-state bifurcations of the vector field, and find a general method to determine the numbers and the directions of the bifurcation curves at the limit points and the bifurcation points. | |||
TO cite this article:ZHANG Li-Da. Topological Current and Steady-State Bifurcations of Vector Field[OL].[31 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4696113 |
3. The representation of Elliptic Ding-Iohara algebra | |||
Lifang Wang,Ke Wu,Jie Yang,Zifeng Yang | |||
Physics 25 May 2016 | |||
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Abstract:In this paper a vector representation $V(u)$ of Elliptic Ding-Iohara algebra $mathcal{U}(q,t,p)$ is defined. Furthermore tensor products of the vector representations is constructed and the Fock modules $mathcal{F}(u)$ is constructed by taking the inductive limit of certain subspaces in the finite tensor products of vector representations. The actions of $mathcal{U}(q,t,p)$ on the basis labeled by partitions and plane partitions are also given. | |||
TO cite this article:Lifang Wang,Ke Wu,Jie Yang, et al. The representation of Elliptic Ding-Iohara algebra[OL].[25 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4694952 |
4. Position diversity in dependence network increases individual economic production | |||
XIE Wen-Jie,Yang Yan-Hong,JIANG Zhi-Qiang,Zhou Wei-Xing | |||
Physics 24 May 2016 | |||
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Abstract:The availability of big data recorded from massively multiplayer online role-playing game (MMORPG) allow us to gain a deeper understanding the potential connection between avatar's network positidon and their economic production. We use a statistical filtering method to construct dependence networks from weighted friendship networks of avatars. We identify 30 distinct motif positions in the 13 directed triadic motifs which represent microscopic dependence among avatars. Based on structural similarity of motif positions, we further classify avatars into different groups. The node position diversity of avatars is found to be positively correlated with their economic production. We also find that the economic production of leaf nodes are significantly lower than that of the other nodes in the same motif. Our findings shed light on understanding the influence of network structure on economic activities and production in social system. | |||
TO cite this article:XIE Wen-Jie,Yang Yan-Hong,JIANG Zhi-Qiang, et al. Position diversity in dependence network increases individual economic production[OL].[24 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4692010 |
5. Two-state Markov-chain Poisson nature of individual cellphone call statistics | |||
JIANG Zhi-Qiang,Zhou Wei-Xing | |||
Physics 08 May 2016 | |||
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Abstract:Unfolding the burst patterns in human activities and social interactions is a very important issue especially for understanding the spreading of disease and information and the formation of group and organization. Here, we conduct an in-depth study of the temporal patterns of cellphone conversation activities of 73,339 anonymous cellphone users, whose inter-call durations are Weibull distributed. We find that the individual call events exhibit a pattern of bursts, that high activity periods are alternated with low activity periods. In both periods, the number of calls are exponential distributed for individuals, but power-law distributed for the population. Together with the exponential distributions of inter-call durations within bursts and of the intervals between consecutive bursts, we demonstrate that the individual call activities are driven by two independent Poisson processes, which can be combined within a minimal model in terms of a two-state first-order Markov chain, giving significant fits for nearly half of the individuals. By measuring directly the distributions of call rates across the population, which exhibit power-law tails, we purport the existence of power-law distributions, via the "Superposition of Distributions" mechanism. Our findings shed light on the origins of bursty patterns in other human activities. | |||
TO cite this article:JIANG Zhi-Qiang,Zhou Wei-Xing. Two-state Markov-chain Poisson nature of individual cellphone call statistics[J]. |
6. The gravitational theory with special and general relativity expansions and its graviton solutions | |||
Chen Guang | |||
Physics 22 February 2016 | |||
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Abstract:We believe that, the latest LIGO gravitational wave detection results is undoubtedly a major achievement of general relativity experimental studies and an important event in the history of human science development. But the direct discovery of gravitational waves does not mean that general relativity is already a complete theory of gravity. On the contrary, it demonstrates the inadequacy of Einstein gravitational theory. Because gravitational waves, as the rigorous solutions of the linear gravitational field equations, do not satisfy the nonlinear Einstein equations. Thus, gravitational waves can not be space-time waves, but only probability waves of the gravitons. In order to solve a series of problems including gravitational waves, based on the quantized mathematics and new equivalence principle,we improve Einstein gravitational theory to include curved space-time geometry and linear gravity, thus forming a gravitational theory with special and general relativity expansions. Thereafter, the graviton solutions of this theory are obtained, and the wave-particle duality of the gravitons in curved space-time background are explained. In particular, we illustrate the internal structure and the external behavior of the gravitons, define extended graviton and non-extended graviton, as well as positive momentum graviton and negative momentum graviton; deduce the quantization and uncertainty of background space-time geometry, and explain the quantization of space-time and energy. Correspondingly, we introduce classical gravitational strings and define quantum graviton states,reveal the probability nature of gravitational strings and describe the change of graviton states with respect to graviton energy and background space-time geometry; describe the interaction of gravitons with matter. This paper also predicts the possible developments of our gravitational theory and explains the significant impacts of our graviton solutions on the existing physical theories. Finally, we point out that, as the average approximation of gravitational strings, gravitational waves can transmit energy and information,but do not warp the space-time they pass through. As for the LIGO discovery, the interference effects are only the results of the laser transmission path length modulations caused by the gravitons with positive and negative momentums, which act on the mirrors in the detectors and make them displacements. This no doubt will change our gravitational wave observation methods and data analysis. | |||
TO cite this article:Chen Guang. The gravitational theory with special and general relativity expansions and its graviton solutions[OL].[22 February 2016] http://en.paper.edu.cn/en_releasepaper/content/4675982 |
7. Error source analysis and parameter optimization of measurement device independent quantum key distribution | |||
GAO Feng,JIAO Rong Zhen | |||
Physics 17 December 2015 | |||
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Abstract:Measurement device independent quantum key distribution (MDI-QKD) can remove all the side-channel attacks from imperfection in the detection side, since firstly proposed by Lo et al, it shows a great influence in the field of quantum key distribution, it has made great progress in both theory and experiment. However, error source undoubtedly influence its property. In this paper, we analyze the performance of MDI-QKD system with error sources like mode mismatch and background count rate. The simulation shows that the optimization of asymmetric case and the optimal choice of intensity of the signal state may enhance the performance of MDI-QKD system. | |||
TO cite this article:GAO Feng,JIAO Rong Zhen. Error source analysis and parameter optimization of measurement device independent quantum key distribution[OL].[17 December 2015] http://en.paper.edu.cn/en_releasepaper/content/4670979 |
8. The stochastic dynamical theory for the complex systems with power-law distributions | |||
Du Jiulin | |||
Physics 20 November 2015 | |||
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Abstract:The stochastic dynamical theory for the systems with power-law distributions has been discussed by means of using the Langevin equations with inhomogeneous friction and noise and the corresponding Fokker-Planck equations. The power-law distributions and the generalized fluctuation-dissipation relation under which these distributions can be generated in a complex system away from equilibrium have been found. And simultaneously, the Klein-Kramers equation and the Smoluchowski equation have been generalized to the dynamical systems with the solutions of power-law distributions. The numerical analyses have shown the power-law distributions all excellently fitting with the solutions of the dynamics of the Langevin equations. | |||
TO cite this article:Du Jiulin. The stochastic dynamical theory for the complex systems with power-law distributions[OL].[20 November 2015] http://en.paper.edu.cn/en_releasepaper/content/4661711 |
9. Thermodynamics of noncommutative geometry inspired black holes | |||
WU Yumei,LIU Chang,MIAO Yangang | |||
Physics 04 November 2015 | |||
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Abstract:With the rational fraction form or the exponential form as a replacement of $delta$-function form as the density distribution of black holes, the mass-smeared regularized AdS black holes are investigated from their configurations and thermodynamics, including variation of the mass with respect to the horizon radius and the Hawking temperature, entropy, Gibbs free energy, and heat capacity at a constant pressure as well. It turns out that the mass-smeared black hole possesses anextremal configuration in which the temperature is zero. Based on the first law of thermodynamics, there is a modification to the area law which depends on the form of smearing. The Gibbs free energy corresponding to phase structure may behave differently at different vacuum pressures, specifically, the phase structure is more complex in a low pressure. We reveal similarities for the black holes of the two forms both in configurations and thermodynamics. | |||
TO cite this article:WU Yumei,LIU Chang,MIAO Yangang. Thermodynamics of noncommutative geometry inspired black holes[OL].[ 4 November 2015] http://en.paper.edu.cn/en_releasepaper/content/4659732 |
10. Spontaneous excitation of a detector in circular motion coupled to massless Rarita-Schwinger fields in vacuum | |||
Yang Jing,Yu Hong-Wei | |||
Physics 09 October 2015 | |||
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Abstract:We study the spontaneous excitation of a detector (modeled by a two-level atom) in circular motion coupled nonlinearly to vacuum massless Rarita-Schwinger fields in the ultrarelativistic limit and demonstrate that the spontaneous excitation occurs for ground-state atoms in circular motion in vacuum but the excitation rate is not of a pure thermal form as that of the atoms in linear uniform acceleration. An interesting feature is that terms of odd powers in acceleration appear in the excitation rate whereas in the linear acceleration case there are only terms of even powers present. On the other hand, what makes the present case unique in comparison to the atom's coupling to other fields that are previously studied is the appearance of the terms proportional to the seventh and ninth powers of acceleration in the mean rate of change of atomic energy which are absent in the scalar, electromagnetic and Dirac field cases. | |||
TO cite this article:Yang Jing,Yu Hong-Wei. Spontaneous excitation of a detector in circular motion coupled to massless Rarita-Schwinger fields in vacuum[OL].[ 9 October 2015] http://en.paper.edu.cn/en_releasepaper/content/4656662 |
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