Cellular Automation Model of Traffic Flow Based on the Car-Following Model

We propose a new cellular automation (CA) traffic model that is based on the car-following model. A class of driving strategies is used in the car-following model instead of the acceleration in the NaSch traffic model. In our model, some realistic driver behaviour and detailed vehicle characteristics have been taken into account, such as distance-headway and safe distance, etc. The simulation results show that our model can exhibit some traffic flow states that have been observed in the real traffic, and both of the maximum flux and the critical density are very close to the real measurement. Moreover, it is easy to extend our method to multi-lane traffic.     

From De Sitter Special Relativity and Snyder＇s Model to Complete Yang Model

The de Sitter special relativity on the Beltrami-de Sitter-spacetime and Snyder＇s model in the momentum space can be combined together with an IR-UV duality to get the complete Yang model at both classical and quantum levels, which are related by the proposed Killing quantization. It is actually a special relativity based on the principle of relativity of three universal constants （c, ρp, R）.     

A Solvable Symbiosis-Driven Growth Model

We introduce a two-species symbiosis-driven growth model, in which two species can mutually benefit for their monomer birth and the self-death of each species simultaneously occurs. By means of the generalized rate equation, we investigate the dynamic evolution of the system under the monodisperse initial condition. It is found that the kinetic behaviour of the system depends crucially on the details of the rate kernels as well as the initial concentration distributions. The cluster size distribution of either species cannot be scaled in most cases; while in some special cases, they both consistently take the universal scaling form. Moreover, in some cases the system may undergo a gelation transition and the pre-gelation behaviour of the cluster size distributions satisfies the scaling form in the vicinity of the gelation point. On the other hand, the two species always live and die together.     

Model with strong γ4 T-violation

We extend the T violating model of the paper on ``Hidden symmetry of the CKM and neutrino-mapping matrices" by assuming its T-violating phases χ_↑ and χ_↓ to be large and the same, with χ=χ_↑=χ_↓. In this case, the model has 9     

φ Electro-production in Pomeron Exchange Model

Based on the Pomeron exchange model, elastic production of φ meson in electron-proton interaction is investigated with both linear and non-linear Pomeron trajectories. The numerical calculations of the differential cross section for e p → e‘ p φ are performed. The theoretical predictions show that the dependence of the differentialcross section on virtual photon virtuality, Q2, is of moderation, the change of the energy scale parameter so causes moderate effect on the differential cross section, and the linear trajectory is a good approximation to non-linearity of the Pomeron trajectory, in particular, at small momentum transfer region | t |≤ 0.2 GeV2.     

Analytic Solutions of Three-Level Dressed-Atom Model

On the basis of the dressed-atom model, the general analytic expressions for the eigenenergies, eigenstates and their optical potentials of the A-configuration three-level atom system are derived and analysed. From the calculation of dipole matrix element of different dressed states, we obtain the spontaneous-emission rates in the dressed-atom picture. We find that our general expressions of optical potentials for the three-level dressed atom can be reduced to the same as ones in previous references under the approximation of a small saturation parameter. We also analyse the dependences of the optical potentials of a three-level ^85Rb atom on the laser detuning and the dependences of spontaneous-emission rates on the radial position in the dark hollow beam, and discuss the probability (population) evolutions of dressed-atomic eigenstates in three levels in the hollow beam.     

Surface Delta-Interaction in Nucleon-Pair Shell Model

The effect of surface delta-interaction (SDI) in nucleon-pair shell model truncated to an SD-subspace is studied. The results show that with the single-particle level splitting fully taken into account, for realistic SDI strength, the surface delta-interaction also enhance the E2 and M1 transitions of low-lying states.     

Dynamical Model in Low-Frequency-Pulsed Electron-Stimulated Desorption

A dynamical model of low-frequency-pulsed electron-stimulated desorption is developed. The characteristic of desorbed gas flow is taken as an exponential function, and can be degenerated to a triangular and square wave.The transient pressure is given according to the gas flow of desorbing gas and vacuum system parameters,including the pumping speed and the system volume. Although the mathematical model is deduced from the electron-stimulated desorption, it can be applied to other similar processes of intermittent desorption.     

Spectral Statistics in the Cranking Model

The difference of spectral statistics properties between single-j and two-j shell models has been studied in the frame of the cranking model.The results show that the system becomes more regular when single-j space (i13/2) is replaced by a two-j shell(g7/2 d5/2),although the basis size of the configuration space is unchanged.However, the degres of chaos of the system changes slightly when configuration space is enlarged by extending the single-j shell (i13/2) to two-j(i13/2 g9/2) shell.     

φElectro-production in Pomeron Exchange Model

Based on the Pomeron exchange model, elastic production of φ meson in electron-proton interaction is investigated with both linear and non-linear Pomeron trajectories. The numerical calculations of the differential cross section for e＋p→e＇ ＋p＋ φ are performed. The theoretical predictions show that the dependence of the differential cross section on virtual photon virtuality, Q^2, is of moderation, the change of the energy scale parameter so causes moderate effect on the differential cross section, and the linear trajectory is a good approximation to non-linearity of the Pomeron trajectory, in particular, at small momentum transfer region ｜t｜≤ 0.2 GeV^2.     

Noncommutativity in Haldane＇s Model

We treat Haldane‘s model by the standard Dirac procedure. After canonical quantization, the coordinates of the particle become noncommutative, and the commutation relations for the coordinates coincide exactly with those defining a fuzzy two-dimensional sphere.     

Average Atom Model in Hot Plasmas

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Integrable Bogoliubov Transform and Integrable Model

By defining Bogoliubov transform as a function of parameters,the integrability of the Bogoliubov transform in Parameter space is investigated.It is shown that integrable Bogoliubov transform is closely related to the known integrable model.The relation between the integrable Bogoliubov transform and geometric phase of vacuum induced by the Bogoliubov transform is also discussed.     

Isoscaling in Statistical Sequential Decay Model

A sequential decay model is used to study isoscaling, i.e. the factorization of the isotope ratios from sources of different isospins and sizes over a broad range of excitation energies, into fugacity terms of proton and neutron number, R21（N, Z） = Y2（ N, Z）/Y1（ N, Z） = Cexp（αN -βZ）. It is found that the isoscaling parameters α and β have a strong dependence on the isospin difference of equilibrated source and excitation energy, no significant influence of the source size on α andβ has been observed. It is found that α and β decrease with the excitation energy and are linear functions of 1/T and △（Z/A）2 or△（N/A）2 of the sources. Symmetry energy coefticient Gsym is constrained from the relationship of a and source △（Z/A）2, /3 and source △（N/A）2.     

Mesons in the Constituent Quark Model

The quark-antiquark （q^-q） spectrum is studied by solving the Schrōdinger equation in the framework of nonrelativistic constituent quark model. An overall good fit to the experimental data of meson is obtained. The interactions between quark and antiquark consist of quadratic colour confinement-exchange, one-gluon-exchange, and Goldstone-boson-exchange potentials.     

A Universal Amplitude Ratio for the q≤4 Potts Model from a Solvable Lattice Model

The universal amplitude ratio R for the (q4)-state Potts model in two dimensions is determined by using results for the dilute A model in regime 1. The nature of the relationship between the Potts model and the dilute A model is discussed.     

Finslerian Perturbation for the ΛCDM Model

We present Finslerian perturbation for the ΛCDM model, which breaks the isotropic symmetry of the universe. The analysis on the Killing vectors shows that the Randers–Finsler spacetime breaks the isotropic symmetry even if the scalar perturbations of the FRW metric vanish. In Randers–Finsler spacetime, the modified geodesic equation deduces a modified Boltzmann equation. We propose a perturbational version of the gravitational field equation in Randers–Finsler spacetime, where we have omitted the curvature tensor that does not belong to the base space of the tangent bundle. The gravitational field equations for the gravitational wave are also presented. The primordial power spectrum of the gravitational wave is investigated. We show that the primordial power spectrum for super-horizon perturbations is unchanged. For sub-horizon perturbations, however, the power spectrum is modified.     

From the Complete Yang Model to Snyder＇s Model,de Sitter Special Relativity and Their Duality

By means of the Dirac procedure, we re-examine Yang＇s quantized space-time model, its relation to Snyder＇s model, the dS special relativity and their UV IR duality. Starting from a dimensionless dS3-space in a （5＋1）- dimensional Mink-space a complete Yang model at both classical and quantum level can be presented and there really exists Snyder＇s model, the dS special relativity and the duality.     

Multi-A Hypernuclei in an Effective Hadronic Model

We extend the chiral hadronic model （FST） with an inclusion of A hyperon to investigate the properties of multi-A hypernuclei. With such an effective hadronic model in the relativistic mean-field approximation, we accomplish the calculations with both the conventional strong A-A interaction and the weak A-A interaction determined from recent experiment. Our calculations indicate that not only the strong but also the weak A-A interaction provide tighter binding for multi-A hypernuclei than the ones with only nucleons. However the strong interaction generates a binding slightly tighter than the weak interaction.