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There are 18 papers published in subject: > since this site started. |
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1. Cover Times in Vibrated Granular Matter | |||
Ke Cheng,Jia-Qi Dong,Liang Huang,Lei Yang | |||
Physics 19 April 2017 | |||
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Abstract:This article provides a experimental verification of cover times distribution theory. In real systems, due to the boundary conditions, driving mode and the granular mixtures, the particle's diffusions are usually different from several classic random walks. In this article we investigate two types of granular diffusion: the Brownian motion and the unusual diffusion. We found that the particle's cover time distribution will be affected by boundary effects, and we develop a boundary cutting method to remove that impact. It is observed that the full cover times distribution of super-diffusion and Brownian motion are suitable for the theoretical result in the long-time covering process, but in the short-time covering process, there is a deviation. We think this deviation is due to the long-time approximation. | |||
TO cite this article:Ke Cheng,Jia-Qi Dong,Liang Huang, et al. Cover Times in Vibrated Granular Matter[OL].[19 April 2017] http://en.paper.edu.cn/en_releasepaper/content/4725348 |
2. Simultaneous analysis of three-dimensional percolation models | |||
XU Xiao,WANG Jun-Feng, LV Jian-Ping, Deng You-Jin | |||
Physics 27 December 2013 | |||
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Abstract:We simulate the bond and site percolation models on several three-dimensional lattices,including the diamond, body-centered cubic, and face-centered cubic lattices.As on the simple-cubic lattice [Phys. Rev. E, extbf{87} 052107 (2013)],it is observed that in comparison with dimensionless ratios based on cluster-size distribution,certain wrapping probabilities exhibit weaker finite-size corrections and are more sensitiveto the deviation from percolation threshold $p_c$, and thus provide a powerful means for determining $p_c$.We analyze the numerical data of the wrapping probabilitiessimultaneously such that universal parameters are shared by the aforementioned models, andthus significantly improved estimates of $p_c$ are obtained. | |||
TO cite this article:XU Xiao,WANG Jun-Feng, LV Jian-Ping, et al. Simultaneous analysis of three-dimensional percolation models[J]. |
3. Diagonalization of the stationary reduced density matrix in the energybasis | |||
HE Le-Wei,WANG Wen-Ge | |||
Physics 12 November 2013 | |||
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Abstract:It is shown that, if the reduced density matrix (RDM) of an open system may reach a stationary solution for long times, and if the environment of the system has certain random feature, then, in the limit of large Hilbert space of the environment, the stationary RDM is commutable with a renormalized Hamiltonian of the system. Here, the renormalized Hamiltonian is given by the unperturbed Hamiltonian plus certain average of the interaction Hamiltonian over the environmental degrees of freedom. Under the above-mentioned conditions, the eigenbasis of the renormalized Hamiltonian is usually a preferred basis in view of the long-time evolution of the RDM. | |||
TO cite this article:HE Le-Wei,WANG Wen-Ge. Diagonalization of the stationary reduced density matrix in the energybasis[OL].[12 November 2013] http://en.paper.edu.cn/en_releasepaper/content/4569382 |
4. Accelerating cycle expansions by dynamical conjugacy | |||
Ang Gao,Jianbo Xie,Yueheng Lan | |||
Physics 12 October 2011 | |||
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Abstract:Periodic orbit theory provides two important functions---the dynamical zeta function and the spectral determinant for the calculation of dynamical averages in a nonlinear system. Their cycle expansions converge rapidly when the system is uniformly hyperbolic but greatly slowed down in the presence of non-hyperbolicity. We find that the slow convergence can be associated with singularities in the natural measure. A properly designed coordinate transformation may remove these singularities and results in a dynamically conjugate system where fast convergence is restored. The technique is successfully demonstrated on several examples of one-dimensional maps and some remaining challenges are discussed. | |||
TO cite this article:Ang Gao,Jianbo Xie,Yueheng Lan. Accelerating cycle expansions by dynamical conjugacy[OL].[12 October 2011] http://en.paper.edu.cn/en_releasepaper/content/4445648 |
5. Asymptotic equilibrium inducing metastable chaos | |||
Hai Wenhua,Li Zejun | |||
Physics 07 June 2011 | |||
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Abstract:It is shown that the asymptotic equilibrium solutions (AES) of a nonlinear equation of motion possess conditional stability. The conditions for controlling instability are derived from a direct perturbation method. Theoretical analysis reveals that the controlling conditions contain Melnikov criterion for the onset of chaos and lead to sensitive dependence of the system on initial conditions and physical parameters. This implies that there exists metastable chaos in the system. Some examples, such as the Duffing oscillator, the rf-driven Josephson junction and other systems, are used to demonstrate the conclusion. | |||
TO cite this article:Hai Wenhua,Li Zejun. Asymptotic equilibrium inducing metastable chaos[OL].[ 7 June 2011] http://en.paper.edu.cn/en_releasepaper/content/4431662 |
6. Fraction of the gluonium component in eta' and eta | |||
Ke Hongwei,Yuan Xuhao,Li Xueqian | |||
Physics 28 March 2011 | |||
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Abstract:It is interesting to determine the fraction of the gluonium component in $\eta$ and $\eta'$ which has been under serious discussion for many years. Measurements on different decay and/or production modes were employed in literatures, thus larger uncertainties were unavoidable. In this paper we suggest to determine the mixing angles of $\eta-\eta'-G$ using the data of semileptonic decays of $D$ and $D_s$. We extract the mixing angles $\phi'$, $\phi_G$ and the model parameters simultaneously. Thanks to the new measurements carried out by CLEO Collaboration and there are sufficient decay modes to determine both the model parameters and mixing angles. The mixing angles from data are $\phi'=(41.5\pm2.0)^\circ$ and $\sin\phi_G=0.00\pm0.36$. Even though the central value of $\sin\phi_G$ is still zero, an upper bound is set. | |||
TO cite this article:Ke Hongwei,Yuan Xuhao,Li Xueqian. Fraction of the gluonium component in eta' and eta[OL].[28 March 2011] http://en.paper.edu.cn/en_releasepaper/content/4418837 |
7. Re-study on the contribution of scalar potential and spectra of c\bar c, b\bar b and b\bar c(c\bar b) families | |||
Yuan Xuhao,Ke Hongwei,Ding Yibing,Li Xueqian | |||
Physics 28 March 2011 | |||
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Abstract:We indicated in our previous work that for QED the roleof the scalar potential which appears at the loop level is much smaller than that of the vector potential and in fact negligible. But the situation is different for QCD, one reason is that the loop effects are more significant because $\alpha_s$ is much larger than $\alpha$, and secondly the non-perturbative QCD effects may induce a sizable scalar potential. In this work, we phenomenologically study the contribution of the scalar potential to the spectra of charmonia, bottomonia and $b\bar c(\bar b c)$ family. Taking into account both vector and scalar potentials, by fitting the well measured charmonia and bottomonia spectra, we re-fix the relevant parameters and test them by calculating other states of not only the charmonia, bottomonia, but also further the $b\bar c$ family. We also consider the Lamb shift of the spectra. | |||
TO cite this article:Yuan Xuhao,Ke Hongwei,Ding Yibing, et al. Re-study on the contribution of scalar potential and spectra of c\bar c, b\bar b and b\bar c(c\bar b) families[OL].[28 March 2011] http://en.paper.edu.cn/en_releasepaper/content/4418831 |
8. Construction of quaternion coherent state with the use of IWOP method and some useful integration formulas over quaternion | |||
Chen Junhua,Fan Hongyi | |||
Physics 19 January 2011 | |||
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Abstract:Based on quaternions we try to construct quaternion coherent state (QCS), dueto the noncommutativity of quarternions' multplication some new integrationformulas over quaternions are derived in this paper which helps to find thecompleteness relation of QCS. We also prove that quaternions is the onlypossible natural extension of complex number. Application of QCS in derivingoperator identities is also presented with the use of the integrationtechnique within an ordered product (IWOP) of operators. | |||
TO cite this article:Chen Junhua,Fan Hongyi. Construction of quaternion coherent state with the use of IWOP method and some useful integration formulas over quaternion[OL].[19 January 2011] http://en.paper.edu.cn/en_releasepaper/content/4407644 |
9. Caling rule, energy distribution and energy level analysis for Morseoscillator by virtue of Hermann-Feynman theorem | |||
Chen Junhua,Fan Hongyi | |||
Physics 19 January 2011 | |||
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Abstract:We propose the scaling rule of Morse oscillator, based on this rule and byvirtue of the Hermann-Feymann theorem we respectively obtain the distributionof potential and kinetic energy of the Morse Hamiltonian. As a by-product, wealso derive the exact upper limit of physical energy level. Further, we derivesome recursive relations for energy matrix elements of the potential and othersimilar operators in the context of Morse oscillator theory. | |||
TO cite this article:Chen Junhua,Fan Hongyi. Caling rule, energy distribution and energy level analysis for Morseoscillator by virtue of Hermann-Feynman theorem[OL].[19 January 2011] http://en.paper.edu.cn/en_releasepaper/content/4407635 |
10. A multi-local-world model for complex networks | |||
Fan Zhengping | |||
Physics 27 December 2010 | |||
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Abstract:The nodes in a community within a network are much more connected to each other than to the others outside the community in the same network. This phenomenon has been commonly observed from many real-world networks, ranging from social to biological even to technical networks. Meanwhile, the number of communities in some real-world networks, such as the Internet and most social networks, are evolving with time. To model this kind of networks, the present paper proposes a multi-local-world (MLW) model to capture and describe their essential topological properties. Based on the mean-field theory, the degree distribution of this model is obtained analytically, showing that the generated network has a novel topological feature as being not completely random nor completely scale-free but behaving somewhere between them. | |||
TO cite this article:Fan Zhengping . A multi-local-world model for complex networks[OL].[27 December 2010] http://en.paper.edu.cn/en_releasepaper/content/4396672 |
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