Local Lyapunov Exponent for the Bak-Sneppen Model

The chaotic Property of the Bak-Sneppen model is studied from the local Lyapunov exponent in the same way as for dynamical nonlinear systems.Similar behaviour is found for the one- and two-dimensional Bak-Sneppen models.The Lyapunov exponents for the two cases have the same order of magnitude and both decrease at early evolution but show a slow increasing saturation at late evolution.     

Stability of the Distribution in a Money Exchange Model

A nonlinear money exchange model is revised and a correct master equation is derived. The evolution of the distribution is studied from direct numerical and analytical calculations. The stability of the final steady state of the system is investigated. It is argued that the final distribution is valid for a group of conservative money exchange models.     

QGP相变与多重数起伏

利用推广的Ginzburg-Landau模型,解析地研究了在QGP转化为强子的相变过程中标度化阶乘矩F_q与相空间间隔δ的依赖关系。发现,当将lnF_q用X=δ~(1/3)的幂级数拟合时,其拟合的一次幂的系数与理论值之间相对符号可用来判断相变是一级还是二级。分析了两组实验数据,一组数据支持是一级相变,另一组数据支持二级相变。     

分析QGP相变级次的一种可能方法

在推广的Ginzburg-Landau理论框架内,解析地研究了在QGP转化为强子的相变过程中多重数差关联矩F_q与相空间间隔δ的依赖关系,提出了一种在实验中判断QGP相变级次的可能方法.此方法的特点在于它不依赖系统温度这个未知的参量,对于低维和高维的实验数据均可以得出相同的相变信息.     

Hadronization from color interactions

A quark coalescence model, based on semi-relativistic molecular dynamics with color interactions among quarks, is presented and applied to pp collisions. A phenomenological potential with two tunable parameters is introduced to describe the color interactions between quarks and antiquarks. The interactions drive the process of hadronization that finally results in different color neutral clusters, which can be identified as hadrons based on some criteria. A Monte Carlo generator PYTHIA is used to generate quarks in the initial state of hadronization, and different values of tunable parameters are used to study the final state distributions and correlations. Baryon-to-meson ratio, transverse momentum spectra, pseudorapidity distributions and forward-backward multiplicity correlations of hadrons produced in the hadronization process, obtained from this model with different parameters, are compared with those from PYTHIA.     

Stability of Random Networks under Evolution of Attack and Repair

With a simple model, we study the stability of random networks under the evolution of attack and repair. We introduce a new quantity, i.e. invulnerability I（s）, to describe the stability of the system. It is found that the network can evolve to a stationary state. The stationary value Ic has a power-law dependence on the initial average degree （κ）, with the slope about -1.5. In the stationary state, the degree distribution is a normal distribution, rather than a typical Poisson distribution for general random graphs. The clustering coefficient in the stationary state is much larger than that in the initial state. The stability of the network depends only on the initial average degree （κ）, which increases rapidly with the decrease of （κ）.     

Distributions and correlations of constituent quarks in jets

In the frame of the quark recombination model, we study the momentum distributions and correlations of constituent quarks in jets by analyzing the final state hadrons generated by PYTHIA for the hard parton fragmentation processes in vacuum. Parameterizations for the distributions are tabulated.     

Entropy in the Bak—Senppen Model for Self—Organized Criticality

The distributions of fitness on the sites of one-and two-dimensional lattices are studied for the nearest-neighbour Bak-Sneppen model on self-organized criticality.The distributions shows complicated behaviour showing that the system is far from equilibrium.By introducing the “energy“ or a site,the entropy flow from the system to its environment is investigated.     

Effect of Correlations on the Exponents for the Power-Law Distributions in Self-Organized Criticality

The origin of power-law distributions in self-organized criticality is investigated by treating the variation of the number of active sites in the system as a stochastic process. An avalanche is mapped to a first-return random-walk process in a one-dimensional lattice. In order to understand the reason of variant exponents for the power-law distributions in different self-organized critical systems, we introduce the correlations among evolution steps. Power-law distributions of the lifetime and spatial size are found when the random walk is unbiased with equal probability to move in opposite directions. It is found that the longer the correlation length, the smaller values of the exponents for the power-law distributions.