A stochastic jump and deterministic dynamics model of impact failure evolution with rate effect

Motivated by the observation of the rate effect on material failure, a model of nonlinear and nonlocal evolution is developed, that includes both stochastic and dynamic effects. In phase space a transitional region prevails, which distinguishes the failure behavior from a globally stable one to that of catastrophic. Several probability functions are found to characterize the distinctive features of evolution due to different degrees of nucleation, growth and coalescence rates. The results may provide a better understanding of material failure.

植物个体的生理生态动力学模型

GCTE（全球变化和陆地生态系统），作为IGBP的核心计划之一，其目的是研究陆地生态系统与全球气候变化及人类社会经济和土地利用改变之间相互作用的耦合机理关系，预测生态系统结构、功能的未来变化。其中，植物个体水平的生理生态学模型研究是GCTE中必不可少的重要环节，它不仅可以揭示植物在个体水平上对全球变化的动态响应机制，而且可通过揭示大尺度响应所隐含的微观生物学机理，为大尺度研究提供重要的生理学参数和规律，在全球变化各尺度研究中发挥着不可替代的作用。本文主要围绕植物个体的生理生态学模型开展了如下研究：在开顶式气室CO2倍增大豆生长实验基础上，建立描述植物主要生理过程的生理生态模型，分析植物个体的光合作用、气孔传导度、蒸腾作用以及水分利用效率在全球场变化下的动态响应机制;在此基础上，建立起以统计性天气模型驱动的植物个体生长发育系统动力学模型，通过敏感度分析探讨植物个体的生理生态特性，如光合、呼吸、绿色及非绿色生物量等，对全球变化，特别是对CO2增加，气温升高及降水改变共同作用的响应机制;针对固氮植物的特点，将前一模型发展成为基于共生固氮和同化过程相互作用机制的植物个体生理生态系统动力学模型，模拟不同CO2浓度、气候变化以及固氮与不固氮条件下植物个体生物量的动态响应，并分析CO2浓度、气候条件和是否具固氮能力在对植物生长发育影响方面的相互作用;以中间锦鸡儿为研究材料进行水分控制实验，观测水分对植物同化物分配等过程的影响;将水分利用效率模型应用到NECT样带的主要植物种，得出各植物种的描述其水分利用效率特性的参数，结合样带上各植被类型的结构特征，得到沿样带各植被类型在植物种类组成方面的水分利用效率参数;应用系统聚类分析、因子分析等多元统计方法对样带上锡林河流域122种植物的化学成分与植物类群和所处生境的关系进行了定量分析。结果表明： 1）CO2倍增情况下，净光合速率提高45%，其中光量子效率显著增加，而CO2传导系数略有下降;气孔传导度、蒸腾速率下降约30%;水分利用效率随CO2浓度增加几乎呈线性增长，倍增后提高近一倍。（当气温，水分适宜，光合有效辐射为1000μmol photons m-2 s-1); 2）在北京地区仅CO2倍增而气候条件维持现状的情况下可导致大豆总生物量峰值提高70%，绿色部分提高56%，其中，全生育期内总净光合量增加，而单位干重的暗呼吸速率下降;由于受同化物分配中物候因素的影响，绿色生物量比总生物量提前10日左右到达其峰值。 3）CO2浓度增加和具固氮能力在模拟范围内对植物生长均产生正效应;而在水分为植物生长限制因子的干旱半干旱地区，降水增加对植物生长产生正效应，气温升高则具负效应; 4）随着C供给条件的好转，具固氮能力对植物生长的影响增强;反之随植物吸收N能力的提高，C供给对植物生长的作用加剧。 5）气温、降水在对植物生长发育影响方面，随着一方条件的好转，另一方对植物生长产生的效应增强; 6）具固氮能力对植物生长的正效应随气候条件的好转而增强，气候变化对植物生长的影响随植物具备了固氮能力而加剧; 7）气候条件越恶劣，如在此半干旱区变得更为干旱，CO2浓度增加对植物生长的正效应越加显著;且随CO2浓度的增加，气候因子的效应逐渐减弱。这主要是因CO2增加提高了植物个体的水分利用效率，从而使得CO2的正效应在水分胁迫下更为明显;同时由于水分利用效率的提高，使得植物个体抵御和适应外界环境变化，特别是由气温、降水改变导致的水分条件变化，的能力得到增强。 8）锦鸡儿水分生理生态实验的初步结果表明，土壤水分状况影响着植物的同化物分配，随着水分胁迫的加剧，同化物分配向根部集中，植物的根冠比增加。 9）沿样带水分递减梯度，植被类型在植物种类组成方面的反映水分利用效率特性的参数kv逐渐增加，从而显示出随着水分条件的不足，植被类型中耐旱品种，尤其是C4种增加;人为活动干扰，主要是对草场等的过度利用而导致的盐渍化、沙化，使得退化了的植被类型中k_v值显著提高，表明原有的植物种逐渐被耐旱、耐盐碱的品种，特别是C4植物所代替;在样带动上，这种由于人为活动干扰所引起的植被类型在植物种类组成方面反映水分利用效率特性的参数kv的变化明显大于因样带水分梯度改变而带来的变化。 10）锡林河流域草原植物化学成分一方面与植物类群有关，受自身历史演化的决定，另一方面更受到所处生境条件的极度大影响和制约。其中，禾本科、豆科植物分别具有明显的化学成分特征;撂荒地群落与自然群落中植物、沙质与非沙质生境中植物化学成分差异较显著;因子分析中认为存在大量元素与微量元素两个公共因子，豆科与禾本科相比，豆科植物因其固氮能力，所含大量元素水平较高，而禾本科植物因细胞壁硅质化，含微量元素稍高;沙质生境因其养分贫瘠，植物的大量与微量元素均较非沙质生境中的低;特别是本区地带性土壤-栗钙土与特异性生境沙带中的疏林沙土相比，疏林沙土上植物大量与微量元素含量较栗钙土区植物明显偏低。

米脂县农地承载力系统动力学分析

在综合分析米脂县农地承载力系统结构、关系的基础上,以1998年为起始年建立系统动力学模型,根据米脂县社会经济发展现状及未来规划,设定了3种不同的方案和3种营养标准,模拟了米脂县2008-2028年农地人口承载力趋势,通过各方案比较,得出了较优的方案,最后提出了提高该地区农地承载力的政策建议。

财政预测模型研究及应用

采用多种科学预测方法与财政经济实际相结合的方式建立了一个综合的财政收支系统动力学模型．这个模型集中了时间序列分析模型，灰色系统预测模型的参数综合性强和系统动力学模型结构分明，用动态反馈方式预测系统发展变化的特点，对东北两大城市预算内财政收支“八五”计划指标进行了全面定量的预测与分析，得到了很好的应用效果。

a dynamic model to handle defect-oriented processes

Tongji Univ, Inst Dev Study, Syst Engn Soc China, Comm Syst Dynam, Syst Dynam Soc, China Chapter, Shanghai Inst Foreign Trade, Syst Dynam Soc, Chapters Asia Pacific Area

Shell effect and capture cross sections in the synthesis of superheavy nuclei

The shell effect is included in the improved isospin dependent quantum molecular dynamics model in which the shell correction energy of the system is calculated by using the deformed two-center shell model. A switch function is introduced to connect the shell correction energy of the projectile and the target with that of the compound nucleus during the dynamical fusion process. It is found that the calculated capture cross sections reproduce the experimental data quantitatively at the energy near the Coulomb barrier. The capture cross sections for reaction (35) (80) Br + (82) (208) Pb -> (117) (288) X are also calculated and discussed.

Isospin effect in the nuclear reaction induced by neutron-halo nuclei

We study the average property of the isospin effect of reaction induced by halo-neutron nuclei He-8 and He-10 in the intermediate energy heavy ion collisions using the isospin-dependent quantum molecular dynamics model (IQMD). This study is based on the extended neutron density distribution for the halo-neutron nuclei, which includes the average property of the isospin effect-of reaction mechanism and loose inner structure. The extended neutron density distribution brings an important isospin. effect into the average property of reaction mechanism because the interaction potential and nucleon-nucleon(N-N) cross section in IQMD model depend sensitively on the density distribution of colliding system. In order to see clearly the average properties of reaction mechanism induced by halo-neutron nuclei we also compare the results for the neutron-halo colliding systems with those for the corresponding stable colliding systems under the same incident channel condition. We found that the extended density distribution for the neutron-halo projectile brings an important isospin effect to the reaction mechanism, which leads to the decrease of nuclear stopping R, yet induces obvious increase of the neutron-proton ratio of nucleon emissions and isospin fractionation ratio for all beam energies studied in this work, compared to the corresponding stable colliding system. In this case, nuclear stopping, the neutron-proton ratio of nucleon emissions and isospin fractionation ratio induced by halo-neutron nuclei can be used as possible probes for studying the average property of the isospin effect of reaction mechanism and extracting the information of symmetry potential and in-medium N-N cross section by the neutron-halo nuclei in heavy ion collisions.

Probing the symmetrical potential in nuclear reaction iinduced by neutron-halo nuclei

In terms of the isospin-dependent quantum molecular dynamics model (IQMD), important isospin effect in the halo-neutron nucleus induced reaction mechanism is. investigated, and consequently, the symmetrical potential form is extracted in the intermediate energy heavy ion collision. Because the interactive potential and in-medium nucleon-nucleon (N-N) cross section in the IQMD model sensitively depend on the density distribution of the colliding system, this type of study is much more based on the extended density distribution with a looser inner nuclear structure of the halo-neutron nucleus. Such a density distribution includes averaged characteristics of the isospin effect of the reaction mechanism and the looser inner nuclear structure. In order to understand clearly the isospin effect of the halo-neutron nucleus induced reaction mechanism, the effects caused by the neutron-halo nucleus and by the stable nucleus with the same mass are compared under the same condition of the incident channel. It is found that in the concerned beam energy region, the ratio of the emitted neutrons and protons and the ratio of the isospin fractionations in the neutron-halo nucleus case are considerably larger than those in the stable nucleus case. Therefore, the information of the symmetry potential in the heavy ion collision can be extracted through such a procedure.

Average property of isospin effects induced by neutron-halo nuclei

We study the average property of the isospin effects of reaction mechanism induced by neutron-halo nuclei within the isospin-dependent quantum molecular dynamics model. We find that the extended neutron density distribution for the neutron-halo projectile brings an important isospin effect into the reaction mechanism, which induces the decrease of nuclear stopping R; however, it induces the obvious increases of the neutron-proton ratio of nucleon emissions (n/p)(nucl) for all of the beam energies in this work, compared to the same mass stable colliding system.

Dynamics of pion production in heavy-ion collisions around 1A GeV energies

Within the framework of the improved isospin-dependent quantum molecular dynamics model, the dynamics of pion emission in heavy-ion collisions in the region of 1A GeV energies as a probe of nuclear symmetry energy at suprasaturation densities is investigated systematically. The total pion multiplicities and the pi(-)/pi(+) yields are calculated for selected Skyrme parameters SkP, SLy6, Ska, and SIII and also for the cases of different stiffness of symmetry energy with the parameter SLy6. The influence of Coulomb potential, symmetry energy, and in-medium pion potential on the pion production is investigated and compared to each other by analyzing the distributions of transverse momentum and longitudinal rapidity and also the excitation functions of the total pion and the pi(-)/pi(+) ratio. The directed flow, elliptic flow, and polar-angle distributions are calculated for the cases of different collision centralities and also the various stiffnesses of the symmetry energies. A comparison of the calculations with the available experimental data is performed.