16O+12C系统的折叠模型

建立一个对于¹⁶O+¹²C系统的折叠模型.这个模型能很好地描述该系统的弹性散射实验数据.     

α粒子散射对16O集团结构的检验

以轻重离子⁴He散射作为手段,对¹⁶O原子核的集团结构进行了检验.并与传统的核子结构模型做了对比.本文结果对¹⁶O集团结构提供一个支持.     

中子分布弥散度对反应总截面的影响

在引入库仑场修正的Glauber模型基础上,区分入射弹核和靶核中的中子、质子,并考虑有限力程相互作用,发展了一个计算核反应总截面的微观修正模型.如果引入一个核内中子分布弥散度随中子分离能的变化关系,则能较好地解释奇异核(如⁸He,¹¹Li,¹¹Be)反应总截面的反常增加.同时,该修正模型还能在低能到高能的范围内较好地拟会稳定核的反应总截面.     

最轻的中性TC介子P0和μ+μ－对撞机

在顶色辅助的多标度人工色(TOPCMTC)模型框架下,讨论了最轻的中性TC介子P⁰在μ⁺μ^－对撞机(FMC)上的s道共振产生.计算结果表明:其有效产生截面非常大,至少比标准模型中的Higgs粒子h⁰的产生截面大一个量级.因此,FMC可以用来探测TC介子的存在进而检验人工色理论.     

晕核11Li,14Be和17B的进一步研究

在三体模型的基础上,采用汤川作用势,进行变分计算,进一步研究了晕核¹¹Li,¹⁴Be和¹⁷B的基态性质,给出了晕中子密度分布的一个解析表达式.理论计算结果与最新的实验数据一致.     

轻核中能质子总截面与朝前振幅

利用整个中能区的质子总截面和朝前散射振幅作为手段,对原子核¹²C和¹⁶O的α粒子结构模型进行了检验.讨论了⁴He的总截面.结果是对¹²C和¹⁶O的α粒子结构观点提供了一个有力的支持.     

通过12C+12C散射对两种不同模型的一个比较

对基于¹²C的两种不同的结构模型建立起的描述¹²C+¹²C的散射模型进行了对比.比较表明,¹²C的α粒子结构模型能给出更好的结果.     

一个改进的Skyrme模型

本文研究了一个m_π≠0时改进的Skyrme模型,计算了核子的静态性质,结果表明,和原先Skyrme模型的预言^[3]醋酸纤维,绝大部分数据有了改进,特别是2>^1/2的值增大了一倍,为0.56fm,已接近实验值.     

152Gd核高自旋态的研究

利用¹⁴⁸Nd(⁹Be, 5n)¹⁵²Gd重离子熔合蒸发反应, 对¹⁵²Gd(Z=64, N=88)核的高自旋态进行了研究. 在¹⁵²Gd核中发现了10多个新的高自旋能级和一个新的S带结构. 实验中首次观察到¹⁵²Gd核完整的第一个带交叉, 与推转壳模型计算结果和邻近核实验结果的比较显示带交叉是由一对i_13/2中子的顺排造成的. 通过对¹⁵²Gd核运动学转动惯量的分析, 得到¹⁵²Gd核的形状随着自旋变化的实验证据.     

11Li的三体模型

考虑了¹¹Li的奇异性质和泡利原理后,引入了一个新的n-⁹Li等效相互作用.在(n+n+⁹Li)模型的基础上完成了变分计算.给出了¹¹Li作为三体系统时的形状、一体密度和相应的形状因子.对¹¹Li的核物质均方半径也作了计算.结果与实验是相符的.     

Fractional differential models for anomalous diffusion

In this study, we investigate three kinds of fractional differential models (distributed-order model, variable-order model and random-order model) for characterization of anomalous diffusion. The characteristics, physical advantages and potential applications of each model are highlighted. The numerical simulations also validate our analytical and comparison results. Furthermore, a generalized distributed-variable-order model and a more generalized distributed-variable-random-order model are proposed to combine the advantages of distributed-order model, variable-order model and random-order model.     

A Simplified Neuronal Model for the Instigation and Propagation of Cortical Spreading Depression

In this paper, we construct a simplified neuronal model that is capable of simulating the instigation of cortical spreading depression (CSD) and propagation of a CSD wave. Our model is a simplification and extension of a single neuron model proposed in the literature for studying the instigation of CSD. Using the simplified neuronal model, we construct a network of these simplified neurons. This network model shows that the propagation of a CSD wave occurs naturally after it is instigated electrically or chemically. Although the model is simple, the speed of the CSD wave predicted by our model is consistent with experimentally observed values. Finally, our model allows us to investigate the effects of specific ion channels on the spread of a CSD wave.     

A dual model strategy to transfer multivariate calibration models for near-infrared spectral analysis

A dual-model method is proposed for correcting the calibration model. In the method, a primary calibration model is built using the spectra of a primary instrument and a correction model is established to describe the ratios between the predicted results from the spectra of different instruments. The prediction for the spectra of secondary instrument can be achieved by correcting the prediction of the primary model. A mathematical proof is described for the existence of the correction model, and the model is investigated using a near-infrared spectroscopic dataset of plant leaf samples measured on two instruments. The results show that a precise correction model is obtained and the model can be used to correct the predictions of the primary model. The correlation coefficients between the predicted and the reference ratios are above 0.9, and the prediction error after the correction is at the same level of the primary model.     

Application of the conditional source-term estimation model for turbulence–chemistry interactions in a premixed flame

Conditional Source-term Estimation (CSE) is a closure model for turbulence–chemistry interactions. This model uses the first-order CMC hypothesis to close the chemical reaction source terms. The conditional scalar field is estimated by solving an integral equation using inverse methods. It was originally developed and has been used extensively in non-premixed combustion. This work is the first application of this combustion model for a premixed flame. CSE is coupled with a Trajectory Generated Low-Dimensional Manifold (TGLDM) model for chemistry. The CSE-TGLDM combustion model is used in a RANS code to simulate a turbulent premixed Bunsen burner. Along with this combustion model, a similar model which relies on the flamelet assumption is also used for comparison. The results of these two approaches in the prediction of the velocity field, temperature and species mass fractions are compared together. Although the flamelet model is less computationally expensive, the CSE combustion model is more general and does not have the limiting assumption underlying the flamelet model.     

The dynamic evolutions of the generalized Hobbit model and structure formation

In this paper a more general phenomenological model is proposed on the basis of the Hobbit model in Cardone et al. (Phys Rev D 69:083517, 2004). The main purpose of constructing our model is to make this model can not only mimic the ΛCDM model, but also describe a four-phase smooth transition of the universe, namely the inflationary phase, a radiation-dominated phase, a matter-dominated phase and a de Sitter-like phase. In order to check whether this model is a viable one, the evolutions of the universe are respectively discussed in the two cases, and the possible physical interpretations for this model are also respectively shown by using the scalar fields. Finally, the structure formations in our model are simply discussed for the both cases, and the results given by us reconfirm that our model can be regarded as a fit to the ΛCDM model, if we choose the proper conditions.     

相变过程的格子Boltzmann方法模拟

应用Shan提出的伪势多相模型替代R-K着色模型,建立一种新的描述气液相变过程的格子Boltzmann理论模型,模拟蒸发(高密度转化为低密度)过程.改进了计算效率,且得到较好的计算结果.同时应用该模型从孔隙尺度模拟了多孔介质中的相变现象,验证了该模型模拟复杂相变问题的可行性.     

包含液相扩散方程简化的锂离子电池电化学模型

锂离子电池的电化学模型对于电池特性分析和电池管理具有重要意义,但是准二维(P2D)模型复杂度太高,为了在保证模型精度的基础上尽量降低复杂度,本文提出了一种包含液相简化的P2D (LSP2D)模型,该模型首先基于电化学平均动力学将电池端电压化简成为仅耦合固相Li+浓度c_s和液相Li+浓度c_e的方程,然后进一步对表达c_s和c_e演化规律的偏微分方程进行抛物线近似化简,使得最终的模型由多项式组成.COMSOL仿真表明在放电倍率为1C时该模型与单粒子(SP)模型的估算精度和速度相当,但在放电倍率为3C时,该模型的估算时间比P2D模型减少了99.73%,与SP模型相当,估算精度相比SP模型有大幅度提升.     

The phase diagram of the 2D Ising model with anisotropic next-nearest-neighbor and four-spin interactions

In the present paper, the two-dimensional Ising model with anisotropic nearest-neighbor, next-nearest-neighbor and four-spin interactions has been studied. The ground states and energy of the model have been obtained. The model is equivalent to an eight-vertex model on its dual lattice. In some special cases, the model can be solved exactly as a zero-field eight-vertex model or a free-fermion model. Explicit phase diagrams are obtained exactly.     

Analytical model for nanoscale viscoelastic properties characterization using dynamic nanoindentation

In the last few decades, nanoindentation has gained widespread acceptance as a technique for materials properties characterization at micron and submicron length scales. Accurate and precise characterization of material properties with a nanoindenter is critically dependent on the ability to correctly model the response of the test equipment in contact with the material. In dynamic nanoindention analysis, a simple Kelvin–Voigt model is commonly used to capture the viscoelastic response. However, this model oversimplifies the response of real viscoelastic materials such as polymers. A model is developed that captures the dynamic nanoindentation response of a viscoelastic material. Indenter tip-sample contact forces are modelled using a generalized Maxwell model. The results on a silicon elastomer were analysed using conventional two element Kelvin–Voigt model and contrasted to analysis done using the Maxwell model. The results show that conventional Kelvin–Voigt model overestimates the storage modulus of the silicone elastomer by ~30%. Maxwell model represents a significant improvement in capturing the viscoelastic material behaviour over the Voigt model.     

An asymmetric full velocity difference car-following model

This paper presents a car-following model that considers the asymmetric characteristic of the velocity differences of the vehicles in a traffic stream. The problems of the prevalent general force (GF) model and the full velocity difference (FVD) model were solved. Furthermore, the optimal velocity (OV) model, the GF model, and the FVD model are proved to be the special cases of the proposed asymmetric full velocity difference (AFVD) model. The mathematical model is presented, followed by simulation analysis which demonstrates the properties of the AFVD model.