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Reconstruction of New Holographic Chaplygin Gas Model with Viscosity

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Chinese Physics Letters 2014年第2期31卷 157-161页

作者：吴亚波佟海丹杨浩吕剑波赵月月鲁军旺张雪 Department of Physics Liaoning Normal University Dalian 116029

We investigate the interacting new holographic dark energy （HDE） with viscosity. Specifically, we not only study the dynamical evolutions of the new HDE with viscosity and the influences of viscosity as well as the coupling constant on the equation of state for the new HDE, but also establish the correspondence between the new HDE with viscosity and variable generalized Chaplygin gas （VGCG） models in the fiat Friedmann-Robertson-Walker universe. Furthermore, we also reconstruct the potential and the dynamics of VGCG as the scalar field. By analysis we show that for the new holographic Chaplygin gas model, if the related parameters to the potential satisfy some constraints, the accelerated expansion can be achieved. These research results can reduce to the ones without viscosity.

关键词： GASES mathematical models HOLOGRAPHY DARK energy (Astronomy) EQUATIONS of state VISCOSITY

Measurement of spatial object's exterior attitude based on linear CCD

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Chinese Optics Letters 2008年第7期6卷 505-509页

作者：艾莉莉袁峰丁振良 Department of Automatic Testing and Control Harbin Institute of TechnologyHarbin 150001

It is difficult to realize real-time measurement of exterior attitude by the traditional systems based on the area image sensor which have conflict between speed and accuracy. The subsystem for three-dimensional （3D） coordinate reconstruction of point target （S3DCRPT） which is composed of three one-dimensional （1D） cameras based on linear charge-coupled device （CCD） can determine the distant light spots＇ spatial position. The attitude angle of the measured object is determined by the spatial solution while the coordinate reconstruction is separately carried on by the S3DCRPT with some point cooperation targets （PCTs） on the measured object. A new optical system is designed to solve the interference problem with one-to-one relationship between the PCTs and the S3DCRPT optical subsystems, which improves the measurement accuracy and saves space. The mathematical model of the attitude measurement is established, and partial and global calibrations are realized for the multi-camera attitude measurement system. The test results show the feasibility of the exterior attitude measurement based on linear CCD.

关键词： Cameras Charge coupled devices Computer networks Digital cameras Ketones mathematical models Optical systems Real time systems Restoration Time measurement

N-Soliton Solution in Wronskian Form for a Generalized Variable-Coefficient Korteweg-de Vries Equation

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Chinese Physics Letters 2008年第11期25卷 3890-3893页

作者：许晓革孟祥花高以天 School of Science Beijing University of Aeronautics and Astronautics Beijing 100083 Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics Beijing University of Aeronautics and Astronautics Beijing 100083 School of Science Beijing University of Posts and Telecommunications Beijing 100876 Beijing Information Technology Institute Beijing 100101

We concentrate on finding exact solutions for a generalized variable-coefficient Korteweg-de Vries equation of physically significance. The analytic N-soliton solution in Wronskian form for such a model is postulated and verified by direct substituting the solution into the bilinear form by virtue of the Wronskian technique. Additionally, the bilinear auto-Backlund transformation between the （ N - 1）- and N-soliton solutions is verified.

关键词： SOLITONS WRONSKIAN determinant KORTEWEG-de Vries equation VARIABLES (Mathematics) BILINEAR forms mathematical models

Effect of Rapid Thermal Annealing on the Formation of In-N Clusters in Strained InGaNAs

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Chinese Physics Letters 2010年第7期27卷 264-267页

作者：赵传阵张荣刘斌李明谢自力修向前郑有炓 Jiangsu Provincial Key Laboratory of Advanced Photonic and Electronic Materials Department of Physics Nanjing University Nanjing 210093

A model for the effect of rapid thermal annealing on the formation of In-N clusters in strained GalnNAs is developed according to thermodynamics. In the model, the lowest annealing temperature influencing the redistribution of atoms is introduced. The average variation of energy for formation per In-N bond is obtained by fitting the experimental values. Using the present model, we calculate the average number of nearest-neighbor In atoms per N atom after annealing. The obtained results are compared with the experiment. The qualitative analysis and quantitative analysis are in good agreement with each other. The model is helpful to explain the essence of the blueshift caused by annealing.

关键词： ANNEALING of crystals INDIUM arsenide THERMODYNAMICS mathematical models CHEMICAL bonds QUANTITATIVE research QUALITATIVE research

Bifurcation Scenarios of a Modified mathematical Model for Intracellular Ca2+ Oscillations

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Chinese Physics Letters 2015年第5期32卷 19-22页

作者：季全宝周毅杨卓琴孟祥英 School of Mathematics and Computational Science Huainan Normal University Huainan 232038 School of Mathematics and Systems Science and LMIB Beihang University Beijing 100191 Department of Biology University of Maryland College Park Maryland 20742 USA

The contribution of this work is the modification of a mathematical model for bursting Ca2＋ oscillations by introducing the proportion of receptors not inactivated by Ca2＋ as a new variable. Generation mechanisms of different oscillatory patterns in this modified model are investigated and classified, based on fast/slow dynamical analysis. It is shown that periodic oscillations appear around the original chaotic regions. Moreover, two new types of oscillatory phenomena are observed at the sustaining region. The results may be instructive for understanding the difference between direct observation of dynamical behavior in real cells and theoretical explanations under a variety of stimulus conditions.

关键词： INTRACELLULAR calcium OSCILLATIONS mathematical models LIVER cells CYTOSOL

Dynamics of Symmetric Conserved Mass Aggregation Model on Complex Networks

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Chinese Physics Letters 2009年第1期26卷 372-374页

作者：华达银 Department of Physics Ningbo University Ningbo 315211

We investigate the dynamical behaviour of the aggregation process in the symmetric conserved mass aggregation model under three different topological structures. The dispersion a（t, L） = （∑i（mi - ρo ） ^2 / L ）1/2 is defined to describe the dynamical behaviour where Po is the density of particle and mi is the particle number on a site. It is found numerically that for a regular lattice and a scale-free network, σ（t, L） follows a power-law scaling σ（ t, L） ~ t^δ1 and σ（ t, L） ~ t^δ4 from a random initial condition to the stationary states, respectively. However, for a small-world network, there are two power-law scaling regimes, σ（t, L） ~ t^δ2 when t 〈 T and 〈（t, L） ~ t^δ3 when t 〉 T. Moreover, it is found numerically that 62 is near to 61 for small rewiring probability q, and 63 hardly changes with varying q and it is almost the same as 64. We speculate that the aggregation of the connection degree accelerates the mass aggregation in the initial relaxation stage and the existence of the long-distance interactions in the complex networks results in the acceleration of the mass aggregation when t 〉 T for the small-world networks. We also show that the relaxation time r follows a power-law scaling τ ~ L^z and σ（t, L） in the stationary state follows a power-law Gs（L） - L^α for three different structures.

关键词： DYNAMICS CLUSTERING of particles mathematical models DISPERSION NUMERICAL analysis PROBABILITY theory

Rogue Wave Solutions for the Heisenberg Ferromagnet Equations

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Chinese Physics Letters 2014年第6期31卷 1-4页

作者：张岩聂显佳扎其劳 College of Mathematics Science Inner Mongolia Normal University Huhhot 010022

Darboux transformation of the Heisenberg ferromagnet equation is constructed by the Darboux matrix method. In application, the rogue wave solutions of the Heisenberg ferromagnet equation are obtained. In particular, r... 详细信息

关键词： HEISENBERG model LATTICE models (Statistical physics) FERROMAGNETISM mathematical models DARBOUX transformations PARTIAL differential equations FUNCTIONAL equations -- Numerical solutions

Wigner Functions for the Bateman System on Noncommutative Phase Space

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Chinese Physics Letters 2010年第9期27卷 16-19页

作者：衡太骅林冰生并思聪 School of Physics and Material Science Anhui University Hefei 230039 Department of Modern Physics University of Science and Technology of China HeYei 230026

We study an important dissipation system, i.e. the Bateman model on noncommutative phase space. Using the method of deformation quantization, we calculate the Exp functions, and then derive the Wigner functions and th... 详细信息

关键词： WIGNER distribution NONCOMMUTATIVE function spaces PHASE space (Statistical physics) DEFORMATIONS (Mechanics) GEOMETRIC quantization SPECTRUM analysis mathematical models

Magnetic Effects in Color-Flavor Locked Superconducting Phase with the Additional Chiral Condensates

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Chinese Physics Letters 2014年第6期31卷 63-66页

作者：任春福张小兵张一 School of Physics Nankai University Tianjin 300071 Department of Physics Shanghai Normal University Shanghai 200230

In the color-flavor locked quark superconducting phase are investigated within the three-flavor Nambu-3ona- with the additional chiral condensates, the magnetic effects -Lasinio framework. Based on the rotated electromagnetic mechanism, we incorporate the effective quark masses into the coexistence phase self-consistently. The numerical calculation shows that the magnetic catalysis of effective masses is different from the known phenomenon that occurs in the unpaired quark matter. Moreover, the interplay between magnetic catalysis and gap splitting is studied for the first time.

关键词： SUPERCONDUCTING magnets ELECTROMAGNETIC fields MAGNETIC field integral equations NUMERICAL analysis CATALYSIS mathematical models QUARK-gluon plasma RESEARCH PLASMA physics