Anomalous scaling in a non-Gaussian random shell model for passive scalars

In this paper, we have introduced a shell-model of Kraichnan＇s passive scalar problem. Different from the original problem, the prescribed random velocity field is non-Gaussian and σ correlated in time, and its introduction is inspired by She and Levveque （Phys. Rev. Lett. 72, 336 （1994））. For comparison, we also give the passive scalar advected by the Gaussian random velocity field. The anomalous scaling exponents H（p） of passive scalar advected by these two kinds of random velocities above are determined for structure function with values of p up to 15 by Monte Carlo simulations of the random shell model, with Gear methods used to solve the stochastic differential equations. We find that the H（p） advected by the non-Gaussian random velocity is not more anomalous than that advected by the Gaussian random velocity. Whether the advecting velocity is non-Gaussian or Gaussian, similar scaling exponents of passive scalar are obtained with the same molecular diffusivity.

Attractive fixed-point solution study of shell model for homogeneous isotropic turbulence

The attractive fixed-point solution of a nonlinear cascade model is stud- ied for the homogeneous isotropic turbulence containing a parameter C, introduced by Desnyansky and Novikov. With a traditional constant positive external force added on the first shell equation, it can be found that the attractive fixed-point solution of the model depends on both the parameter C and the external force. Thus, an explicit force is introduced to remove the effects of the external force on the attractive fixed-point solu- tion. F^arthermore, two groups of attractive fixed-point solutions are derived theoretically and studied numerically. One of the groups has the same scaling behavior of the velocity in the whole inertial range and agrees well with those observed by Bell and Nelkin for the nonnegative parameters. The other is found to have different scaling behaviors of the velocity at the odd and even number shells for the negative parameters. This special characteristic may be used to study the anomalous scaling behavior of the turbulence.

Prediction of Radioactive Half-Lives and Atomic Nucleus Dimensions in a Concentric Shell Model or Flocon Model

Considering only the wave aspect, we determine the energy of a bond between 2 nucleons;this quantified energy is associated with a standing wave. Then, starting from the mass loss corresponding to this energy, we determine the number of bonds in this nucleus. The mass defect value for a link is used to determine a specific length at that link. Fixing a precise distance between nucleons makes it possible to determine a geometry of the nucleus and its dimensions. It makes it possible to understand when this bond is stronger than the electrostatic force and allows deducing a shell model built in a precise order. The calculation on the mass defect will also make it possible to determine that one or more nucleons concerned by the radioactivity will be bound by a single bond to the rest of the nucleus or, on the contrary, bound by several bonds which induce short 1/2 lives or, on the contrary, very long. The analysis of the bonds on H, He and C make it possible to write formulae which are then applied to the nuclei to find the radioactive 1/2 lives. To find by equations the radioactive 1/2 lives does not call into question the standard model since it concerns only the defect of mass of the nuclei with energies that are not used to find the main particles of the standard model. This model, which favours a geometric approach to the detriment of a mathematical approach based on differential equations, can lead to theoretical questions about the possibility of interpreting the structure of the nucleus in a more undulatory way. It is possible to explain radioactivity in a more deterministic way.

Elastic Constants of Superconducting MgB2 from Molecular Dynamics Simulations with Shell Model

The elastic constants of superconducting MgB2 are calculated using a molecular dynamics method (MD)with shell model. The lattice parameters, five independent elastic constants, equations of state (EOS), Debye temperature, and bulk modulus of MgB2 are obtained. Meanwhile, the dependence of the bulk modulus B, the lattice parameters a and c, and the unit cell volume V on the applied pressure are presented. It is demonstrated that the method introduced here can well reproduce the experimental results with a reasonable accuracy.

Nucleon—Pair Shell Model：Magnetic Excitations for Ba Isotopes

Magnetic excitations for Ba isotopes are discussed within the nucleon-pair shell model trmicated iti the SDsubspace. With the SD pair determined by a surface-δ interaction, M1 transitions for 1344Ba are well fitted. The M1 andM3 transitions for 132Ba and 130Ba are also predicted. It is shown that the statement, the collective magnetic propertiesarc due to the orbital motion of nucleons, is approximately valid.

Astrophysics: Macroobject Shell Model

The model proposes that Nuclei of all macroobjects (Galaxy clusters, Galaxies, Star clusters, Extrasolar systems) are made up of Dark Matter Particles (DMP). These Nuclei are surrounded by Shells composed of both Dark and Baryonic matter. This model is used to explain various astrophysical phenomena: Multi-wavelength Pulsars;Binary Millisecond Pulsars;Gamma-Ray Bursts;Fast Radio Bursts;Young Stellar Object Dippers;Starburst Galaxies;Gravitational Waves. New types of Fermi Compact Stars made of DMP are introduced: Neutralino star, WIMP star, and DIRAC star. Gamma-Ray Pulsars are rotating Neutralino and WIMP stars. Merger of binary DIRAC stars can be a source of Gravitational waves.

Shell Model Description of Neutron-Deficient Sn Isotopes

在 sdgh 专业的壳模型计算为中子缺乏的 106,107,108,109 Sn 同位素被使用 CD 波恩和 Nijmegen1 执行了二身体的有效核子核子相互作用。单个壳的状态和为描述 Sn 同位素需要的相应矩阵元素被重建由减少计算要求计算部分 parantage 的系数。这重建允许我们在很合理的时间做中子的壳模型计算缺乏的 Sn 同位素。结果与最近的高分辨率的试验性的数据相比并且发现在对实验的好同意。

Phonon Dispersion and Thermodynamics Properties of CaF_2 via Shell Model Molecular Dynamics Simulations

在高压力和高温度的以脸为中心的立方的 CaF 2 的声子和热力学性质被使用壳模型调查内部在一般实用程序格子节目以内的原子对潜力(吞下) 。声子分散曲线和在这个工作的状态(PDOS ) 的相应密度与试验性的数据和另外的理论结果一致。横向光(到) 并且纵光(LO ) 模式在经常的体积 CV 和熵 S 对压力和温度象热能力一样切开也被获得。

Probability Distribution Function of Passive Scalars in Shell Models

被动分级的问题的一个壳模型版本被介绍，它被 K 的模型启发。Ohkitani 和 M。Yakhot [K。Ohkitani 和 M。Yakhot， Phys。加快。Lett。60 (1988 ) 983；K。Ohkitani 和 M。Yakhot，学监。Theor。Phys。81 (1988 ) 329 ] 。作为处于原来的问题，规定随机的速度地是 Gaussian， δ 及时相关。确定的微分方程被认为是非线性的 Langevin 方程。然后，为被动数量的 PDF 的佛克普朗克常数方程数字地被获得并且解决。在精力输入范围(n 【 5， n 是壳数字) ，被动数量的概率分发功能(PDF ) 在 Gaussian 分发附近。在惯性的范围(5 ≤ n ≤ 16 ) 并且驱散范围(n ≥ 17 ) ，被动数量的概率分发功能(PDF ) 有明显的间歇性。并且被动数量的可伸缩的力量是异常的。数字模拟的结果与试验性的大小相比。

Influence of Velocity Shell Correlations on Anomalous Scaling Exponents of Passive Scalars in Shell Models

We propose a new approach to the old-standing problem of the anomaly of the scaling exponents of passivescalars of turbulence.Different to the original problem,the distribution function of the prescribed random velocity fieldis multi-dimensional normal and delta-correlated in time.Here,our random velocity field is spatially correlative.Forcomparison,we also give the result obtained by the Gaussian random velocity field without spatial correlation.Theanomalous scaling exponents H (p) of passive scalar advected by two kinds of random velocity above are determined forstructure function up to p=15 by numerical simulations of the random shell model with Runge-Kutta methods to solvethe stochastic differential equations.We observed that the H(p) 's obtained by the multi-dimensional normal distributionrandom velocity are more anomalous than those obtained by the independent Gaussian random velocity.

Study of rotational bands of ^(129)La using the projectedshell model

The projected shell model is applied to the nucleus 129La. The present results of theoretical calculations about the one-quasiproton bands are compared with experimental data. The agreement with both the yrast πh11/2 band πg7/2 band is satisfactory. We also assign the πg7/2 [νh11/2]2 configuration with an oblate shape for one of bands in 129La.

Shell Model Investigation of High Spin States for Ce Isotopes

-A truncated shell model approach is presented for studying the properties oflow-lying states as well as the high-spin states in even-even nuclei with the help of thegeneralized boson-fermion expansion technique.The primary fermion state space isspanned by the interacting valence protons and neutrons with effective nucleon-nucleonforce.The truncated model space is considered as a direct sum of two subspaces corre-sponding to the configurations of（sd）N and（sd）N-1,respectively,plus a broken fermionpair.Numerical calculations are carried out for 130～134Ce isotopes.The calculated spec-trum reproduces the experimental data quite well,especially the backbending appearingin these nuclei.The results suggest that the approach is able to describe the spectroscopyof states with angular momenta up to J≈20.

基于邻域K-shell分布的关键节点识别方法

复杂网络中关键节点的精准识别对于网络结构稳定和信息传播起着至关重要的作用。传统K-shell方法仅通过节点在网络中所处位置对节点的重要性进行评估,导致区分度不高。基于此,综合考虑了节点的全局信息和局部信息对节点重要性的影响,提出一种基于邻域K-shell分布的关键节点识别方法。该方法通过节点邻域Ks值定义节点的熵,从而反映邻居节点的K-shell分布特征。通过11个网络数据集上的仿真实验,验证了所提方法能够更准确地识别并区分复杂网络中的关键节点。

Electrostatic Attraction and Repulsion Explained and Modelled Mathematically Using Classical Physics—A Detailed Mechanism Based on Particle Wave Functions

The phenomenon of electrical attraction and repulsion between charged particles is well known, and described mathematically by Coulomb’s Law, yet until now there has been no explanation for why this occurs. There has been no mechanistic explanation that reveals what causes the charged particles to accelerate, either towards or away from each other. This paper gives a detailed explanation of the phenomena of electrical attraction and repulsion based on my previous work that determined the exact wave-function solutions for both the Electron and the Positron. It is revealed that the effects are caused by wave interactions between the wave functions that result in Electromagnetic reflections of parts of the particle’s wave functions, causing a change in their momenta.

The structure of the spherical tensor forces in the USD and GXPF1A shell model Hamiltonians

The realistic shell model Hamiltonians, USD and GXPF1A, have been transformed from the particle-particle （normal） representation to the particle-hole representation （multipole-multipole） by using the known formulation in Ref. [1]. The obtained multipole-multipole terms were compared with the known spherical tensor forces, including the coupled ones. It is the first time the contributions of the coupled tensor forces to the shell model Hamiltonian have been investigated. It has been shown that some coupled-tensor forces, such as [r2Y2 σ] 1, also give important contributions to the shell model Hamiltonian.

SD-pair structure in the pair approximation of the nuclear shell model

In this paper we study the structure coeficients of collective pairs with spin zero and spin two (SD) in a number of configurations by a few realistic nuclei. We investigate the robustness of these structure coeffcients with respect to different configurations and the evolution of SD-pair structure coeffcients with valence nucleon number.

Large-Scale Shell Model for Nuclear Structure and Nuclear Astrophysics Studies

The study of neutron-rich nuclei near132 Sn is interesting and important for both nuclear structure and nuclear astrophysics. For a considerably large model space allowing cross-shell excitations,a new effective Hamiltonian is determined by employing the extended pairing-plus-quadrupole model with monopole corrections. Calculations for two mass regions, for the north-east quadrant of132 Sn with Z > 50 and N > 82 and for the south-west quadrant with Z < 50 and N < 82, have been performed recently. The structure of these nuclei is analyzed in detail, and the role of the monopole corrections can be clearly seen.