MFRG-DPIR FOR THE DISORDERED TRANSVERSE ISING MODEL

A new approximate scheme which is combined by the mean-field renormalization group theory (MFRG) with the discretized path-integral renormalization (DPIR) is employed in the study of the disordered tranverse Ising model (TIM). The critical properties of random-bonds Ising systems on a d-dimensional lattice are calculated with this new approximate scheme.     

荷电旋量玻色气体热力学性质的研究

在平均场理论的框架下,讨论了荷电旋量玻色气体的热力学性质,结果表明系统的熵和比热容随朗德因子的增大而减小.熵和比热容均随温度单调增加直至饱和,并且它们随温度的演化没有出现相变点.     

微博网络消息传播的ISSR模型

将微博用户划分为无知者、传播者和拒绝者3种类型,结合微博网络消息传播实际情况,在经典传染病易感染-感染-治愈模型基础上,提出新的无知-传播-传播-拒绝模型. 详细描述了传播机制,并对模型的均场方程进行稳态分析. 由爬取到的上海典型大学新浪微博用户信息,构建符合真实网络统计性质的网络演化模型,并进行网络动力学分析. 仿真结果表明,较大的转发率 和较小的拒绝率可以提高微博消息的传播范围,多次转发率对传播节点密度也有一定的影响.     

一维Sznajd舆论模型相变的研究

略去一维标准Sznajd舆论模型的第二个规则,修改后的模型演化的决定时间分布没有发生变化,但弛豫时间延长了;反铁磁性吸引子消失了,铁磁性终态吸引子出现的概率对初始态度人员密度有着重要的依赖关系.进一步在平均场的近似下,修改后的一维Sznajd舆论模型存在相变.     

具有Dzyaloshinskii-Moriya作用和晶体场作用的Heisenberg模型的临界性质

利用平均场近似的方法,研究了具有Dzyaloshinskii-Moriya(DM)作用和纵向晶体场作用的自旋S=1的Heisenberg 模型的临界性质,得到了该系统的相图.研究结果表明:所研究系统存在三临界点,并且约化晶体场作用参量和约化 DM作用参量分别连续变化时,系统的三临界温度不随相应参量单调变化,约化三临界温度分别存在一个最小值.系统的这种临界性质可以解释为系统的交换耦合作用、晶体场作用DM作用之间相互竞争的结果.     

Neutron halo state of13C

Angular distributions for the ¹²C(d, p) ¹³C transfer reactions have been measured at Ed = 11.8 MeV, and compared with those of the DWBA calculations. By means of this comparison, density distributions of the last neutron in the ground state and the first 1/2⁺ state of ¹³Care extracted. The properties of these states in 13C have also been studied in the framework of the nonlinear relativistic mean-field theory with NL-SH parameters. It is found that the first 1/2⁺ state in ¹³C is a neutron halo state shown by both the experimental and theoretical density distributions of the last neutron.     

外场中具有长程相互作用S-1/2 XXZ双链的量子相变

采用平均场Jordan-Wigner变换分析方法,研究外场中且具有Z方向均匀长程相互作用自旋-1/2XXZ双链的量子相变,得到了系统格点的亥姆赫兹自由能、格点磁化强度等热力学量的解析表达式及其数值解.数值结果与其他文献的结果相符.     

Recent developments in totally asymmetric simple exclusion processes with local inhomogeneity

A totally asymmetric simple exclusion process (TASEP) has become an essential tool in modeling and analyzing non-equilibrium systems.A wide variety of TASEP models have been developed that are motivated by real-world traffic,biological transport and by the dynamics of the process itself.This paper provides an overview of recent developments in TASEP with inhomogeneity.Some important generalizations and extensions of inhomogeneous TASEP models are reviewed,and several popular mean-field techniques used to analyze the inhomogeneous TASEP models are summarized.A comparison between similar TASEP models under different updating procedures is given.Phase separations in such disordered systems have been identified.The present status of the inhomogeneous TASEP models and areas for future investigations are also described.     

一维Sznajd舆论模型中噪声因素对演化的影响

考虑到在现实社会的舆论传播过程中,存在各种干扰、阻碍、扭曲信息传播内容的内在和外在因素,使得人员在改变态度时存在一定的随机性,故对基本Szna jd模型作了修改。修改后模型的演化不再有终态吸引子的出现。     

用MFRG和DPIR方法解三峰场中自旋为2的TIM模型

本文用平均场重整化群方法(MFRG)和离散路径积分表示(DPIR)的方法来研究自旋为2的无规横向伊辛模型在三峰分布纵场中(RFTIM)的相图和临界性质。