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Brittle Fracture: From Elasticity Theory to Atomistic Simulations 脆性断裂:从弹性理论到原子模拟
Pub Date : 2010-09-23 DOI: 10.1002/9780470890905.CH1
S. Giordano, A. Mattoni, L. Colombo
Understanding the mechanical properties of materials with theory traditionally has been done by using continuum methods, ranging from elastic theory (in both linear and nonlinear regimes), to plastic theory, and to fracture mechanics. The computational counterpart of continuum modeling is represented by finite element analysis. Continuum theories have been extremely successful, as proved by the tremendous achievements reached in structural design of buildings, ships, bridges, air-/space crafts, nuclear reactors, and so on. Overall this represents the core of theoretical and computational solid mechanics. In the last 20 years or so, the technological rush toward nano-sized systems has forced researchers to investigate mechanical phenomena at a length scale in which matter no longer can be considered as a continuum. This is the case, for instance, of investigating the crack-related features in a material displaying elastic or structural complexity (or, equivalently, inhomogeneity or disorder) at the nanoscale. This problem of atomic-scale granularity immediately seems to be prohibitive for (standard) solid mechanics. To better elaborate on this
用理论来理解材料的力学性能传统上是通过使用连续体方法来完成的,从弹性理论(线性和非线性)到塑性理论,再到断裂力学。连续体模型的计算对应是用有限元分析来表示的。连续体理论非常成功,在建筑、船舶、桥梁、航空/航天飞机、核反应堆等结构设计方面取得的巨大成就证明了这一点。总的来说,这代表了理论和计算固体力学的核心。在过去20年左右的时间里,纳米级系统的技术热潮迫使研究人员在一个长度尺度上研究机械现象,在这个尺度上,物质不再被认为是连续的。例如,在纳米尺度上研究具有弹性或结构复杂性(或非均匀性或无序性)的材料中的裂纹相关特征就是这种情况。对于(标准)固体力学来说,原子尺度粒度的问题似乎是令人望而却步的。为了更好地阐述这一点
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引用次数: 13
Semiclassical Bohmian Dynamics 半经典波西米亚动力学
Pub Date : 2010-09-23 DOI: 10.1002/9780470890905.CH6
Sophya Garashchuk, V. Rassolov, O. Prezhdo
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引用次数: 21
Molecular Detailed Simulations of Lipid Bilayers 脂质双层的分子详细模拟
Pub Date : 2010-09-23 DOI: 10.1002/9780470890905.CH5
M. Berkowitz, J. Kindt
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引用次数: 5
Computing Free Volume, Structural Order, and Entropy of Liquids and Glasses 计算液体和玻璃的自由体积、结构顺序和熵
Pub Date : 2007-04-30 DOI: 10.1002/9780470189078.CH3
J. Mittal, W. P. Krekelberg, J. Errington, Thomas M Truskett
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引用次数: 4
Transition metal and actinide containing systems studied with multiconfigurational quantum chemical methods 用多构型量子化学方法研究了含过渡金属和锕系元素的体系
Pub Date : 2007-04-30 DOI: 10.1002/9780470189078.CH6
L. Gagliardi
Ab initio quantum chemistry has advanced so far in the last 40 years that it now allows the study of molecular systems containing any atom in the Periodic Table. Transition metal and actinide compounds can be treated routinely, provided that electron correlation and relativistic effects are properly taken into account. Computational quantum chemical methods can be employed in combination with experiment, to predict a priori, to confirm, or eventually, to refine experimental results. These methods can also predict the existence of new species, which may eventually be made by experimentalists. This latter use of computational quantum chemistry is especially important when one considers experiments that are not easy to handle in a laboratory, as, for example, explosive or radioactive species. It is clear that a good understanding of the chemistry of such species can be useful in several areas of scientific and technological exploration. Quantum chemistry can model molecular properties and transformations, and in
从头算量子化学在过去的40年里取得了长足的进步,现在它可以研究元素周期表中包含任何原子的分子系统。如果适当地考虑到电子相关和相对论效应,过渡金属和锕系化合物可以按常规处理。计算量子化学方法可以与实验结合使用,预测先验,确认,或最终完善实验结果。这些方法还可以预测新物种的存在,这可能最终由实验家来实现。计算量子化学的后一种用途在考虑不容易在实验室中进行的实验时尤其重要,例如,爆炸性或放射性物质。很明显,对这类物质的化学性质的充分了解在科学和技术探索的几个领域是有用的。量子化学可以模拟分子的性质和转化
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引用次数: 4
Variational Transition State Theory with Multidimensional Tunneling 多维隧穿的变分跃迁态理论
Pub Date : 2007-02-14 DOI: 10.1002/9780470116449.CH3
A. Fernández-Ramos, Benjamin A. Ellingson, B. Garrett, D. Truhlar
This review describes the application of variational transition state theory (VTST) to the calculation of chemical reaction rates. In 1985 two of us, together with Alan D. Isaacson, wrote a book chapter on this subject entitled “Generalized Transition State Theory” for the multi-volume series entitled Theory of Chemical Reaction Dynamics.1 Since that time, variational transition state theory has undergone important improvements due mainly to the ability of this theory to adapt to more challenging problems. For instance, the 1985 chapter mainly describes the application of VTST to bimolecular reactions involving 3–6 atoms, which were the state-of-the-art at that moment. The study of those reactions by VTST dynamics depended on the construction of an analytical potential energy surface (PES). Nowadays, thanks to the development of more efficient algorithms and more powerful computers, the situation is completely different, and most rate calculations are based on “on the fly” electronic structure calculations, which together with hybrid approaches, like combined quantum mechanical molecular mechanical methods (QM/MM), allow researchers to apply VTST to systems with hundreds or even tens of thousands of atoms. Three other major advances since 1985 are that transition state dividing surfaces can now be defined much more realistically, more accurate methodsmore » have been developed to include multidimensional quantum mechanical tunneling into VTST, and the theory has also been extended to reactions in condensed phases.« less
本文综述了变分过渡态理论在化学反应速率计算中的应用。1985年,我们中的两人与艾伦·d·艾萨克森(Alan D. Isaacson)一起,为《化学反应动力学理论》(Theory of Chemical Reaction dynamics)多卷本系列撰写了一本书的章节,题目是“广义过渡态理论”。从那时起,变分过渡态理论经历了重要的改进,主要是由于该理论能够适应更具有挑战性的问题。例如,1985年的章节主要描述了VTST在涉及3-6个原子的双分子反应中的应用,这在当时是最先进的。这些反应的动力学研究依赖于解析势能面(PES)的建立。如今,由于更高效的算法和更强大的计算机的发展,情况完全不同了,大多数速率计算都是基于“动态”电子结构计算,再加上混合方法,如组合量子力学分子力学方法(QM/MM),使研究人员能够将VTST应用于具有数百甚至数万个原子的系统。自1985年以来的其他三个主要进展是:现在可以更实际地定义过渡态划分面,已经开发出更精确的方法,将多维量子力学隧道效应纳入到VTST中,并且该理论也已扩展到凝聚态反应。«少
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引用次数: 214
Methods and Applications of Combined Quantum Mechanical and Molecular Mechanical Potentials 量子力学与分子力学联合势的方法与应用
Pub Date : 2007-01-05 DOI: 10.1002/9780470125847.CH3
Jiali Gao
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引用次数: 168
Nonequilibrium Molecular Dynamics 非平衡分子动力学
Pub Date : 2007-01-05 DOI: 10.1002/9780470125915.CH5
C. Mundy, S. Balasubramanian, K. Bagchi, M. Tuckerman, G. Martyna, M. Klein
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引用次数: 12
Sensitivity Analysis in Biomolecular Simulation 生物分子模拟中的敏感性分析
Pub Date : 2007-01-05 DOI: 10.1002/9780470125892.CH6
Chung F. Wong, Thomas S. Thacher, H. Rabitz
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引用次数: 6
Treatment of Counterions in Computer Simulations of DNA 计算机模拟DNA中反离子的处理
Pub Date : 2007-01-05 DOI: 10.1002/9780470125885.CH6
G. Ravishanker, P. Auffinger, David R. Langley, B. Jayaram, Matthew A. Young, David L. Beveridge
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引用次数: 19
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