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1.
为量子Monte Carlo方法提出一条新途径-剩余函数法,引入了Schroedinger方程剩余函数的概念,利用剩余函数将一种新的有明显物理意义的试探函数应用到量子Monte Carlo过程中,这种试探函数是通过一种迭进式的方式确定的,它不需要在Monte Carlo过程中优化参数。文中我们将给出这种试探函数的具体形式,证明由这种试探函数求出的能量期望值收敛于体系真实的能量值;文中还给出这种试探  相似文献   

2.
Monte Carlo 方法在高分子科学中的应用   总被引:5,自引:0,他引:5  
介绍了Monte Carlo 方法的历史及其特点,并描述了它在现代高分子科学研究中的广泛应用情况,并对其前景作了一些展望。  相似文献   

3.
在光、热、剪切、酸等条件下 ,聚合物经常发生无规降解 .在有关描述中 ,无规降解过程仅仅被表述为在反应初期聚合物的粘度大幅度下降而单体的含量变化不大 .显然这种描述是粗略的 .由于在确定分子量分布时需要使用昂贵的GPC ,由试验直接考察无规降解成为不太容易进行的研究内容 ,而由模拟 ,则可以很容易的观察到这类反应的变化过程 .关于降解的MonteCarlo模拟 ,有过很多报道[1~ 7] .在这些文章中 ,多是讨论降解过程中 Mn、 Mw 的变化趋势 ,而不涉及具体聚合度的分子数变化情况 .但是在某些情况下 (如多糖的降解 ) ,对具体某聚合度下的…  相似文献   

4.
对变分量子Monte Carto方法提出了一种种算法:将传统的Hartree-Foek方法与量子Monte Carlo方法有机结合在一起;导出了“局部能”的解析式;使用了一种新的相关函数和随机数发生器。我们用这个新算法计算了H2、LiH、Li2、H2O、F2分子的基态和CH2分子的^3B1、^1A1态的能量。计算结果表明,这个新算法在精度和统计误差两个方面比一般VMC过程都要好得多。  相似文献   

5.
提出了用于电子激发态的剩余函数变分量子MonteCarlo(SFVMC)方法,已经证明:若激发态的初始波函数与基态的初始波函数属于对称性不同的不可约表示时,该激发态的SFVMC方法与基态的SFVMC方法完全相同;若激发态的初始波函数与基态的初始波函数有相同的对称性时,只要对激发态的初始波函数作正交性修正,则其态的SFVMC方法亦可推到该激发态的情况。文章导出了这第二类激发态的SFVMC方法的详细计  相似文献   

6.
提出剩余函数量子Monte Carlo的一个新算法,这是一个自优化和自改善的过程.与以前的算法相比,本算法中的试探函数的优化是在剩余函数方法中同步进行的,而不是在变分Monte Carlo计算之前.为了优化试探函数,使用一种改进了的速降法,这是一个步长能够自动调节,超线性收敛的优化技术.在这个算法中,还使用了一种新的相关函数,它满足电子与电子以及电子与核奇点条件.此方法已被用于计算H2、LiH、Li2、H2O分子的基态以及CH2的X 3B1态、1 1A1态和2 1A1态的能量值.  相似文献   

7.
Monte Carlo方法研究苯乙烯/二乙烯苯凝胶化反应   总被引:1,自引:0,他引:1  
在前文基础上,对苯乙烯-二乙烯苯凝胶化反应进行更进一步的Monte Carlo模拟。由于引入了标识符,用三维模型很好地获得了定量表征凝胶化反应的参数:转化率,交联点,分子链数目,重均分子量Mw及数均分子量Mn等的变化规律,得到了与实验基本一致的结果。  相似文献   

8.
采用二维和三维格子模型用Monte Carlo法模拟两亲性梳形聚合物的胶束行 为. 模拟时采用动态算法结合链的reptation运动并且编制了三维结构显示程序及获得了体系的Monte Carlo自由能. 结果表明: 约化相互作用能的选取对胶束及乳液体系的形态结构有重大影响; 三维模拟可以得到体系形态结构更为直观的结果; 亲油主链亲水侧链型梳形聚合物在水相中的胶束比在油相的胶束有更低的能量.  相似文献   

9.
聚硅烷链形状的Monte Carlo研究   总被引:1,自引:0,他引:1  
用MonteCarlo方法对θ溶液中考虑二级相互作用的聚硅烷链的形状进行了研究。结果表明聚硅烷链的形状明显偏离球形,它与链长有关,长链极限的比值<L21>∶<L22>∶<L23>约为1∶2.7∶12.1。还发现聚硅烷链转动惯量的最长主轴与末端距矢量之间夹角的统计平均值<θ>的极限值约为27°。  相似文献   

10.
表面扩散的Monte Carlo初探   总被引:2,自引:0,他引:2  
利用MonteCarlo方法模拟了理想表面和分形表面上的扩散过程;通过模拟可以发现,表面扩散系数不仅与表面浓度有关,而且还与扩散的时间、表面的几何形貌等有关。在表面覆盖度比较高时,表面扩散系数有一极大值。与理想表面相比,分形表面会使扩散系数减小。  相似文献   

11.
    
We report calculations of the ground state energy and binding curve of the chromium dimer using the variational and diffusion quantum Monte Carlo (VMC and DMC) methods. We examined various single‐determinant and multideterminant wavefunctions multiplied by a Jastrow factor as a trial/guiding wavefunction for VMC/DMC. The molecular orbitals in the single determinants were calculated using restricted or unrestricted Hartree–Fock or density functional theory (DFT) calculations where five commonly used local (SVWN5), semilocal (PW91 and BLYP), and hybrid (B1LYP and B3LYP) functionals were examined. The multideterminant expansions were obtained from the generalized valence bond and (truncated) unrestricted configuration interaction with single and double excitations (UCISD) methods. We also examined a UCISD wavefunction in which UCISD expansions were added to the UB3LYP single‐determinant reference, and their coefficients were optimized at the VMC level. In addition to the wavefunction dependence, the effects of pseudopotentials and backflow transformation were also investigated. The UB3LYP single‐determinant and multideterminant wavefunctions were found to give the variationally best DMC energies within the framework of single‐determinant and multideterminants, respectively, though both the DMC energies were higher than twice the DMC atomic energy. Some of the VMC binding curves show a flat or quite shallow well bottom, which gets recovered deeper by DMC. All the DMC binding curves have a minimum indicating a bound state, but the unrestricted ones overestimate the equilibrium bond length. © 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2012  相似文献   

12.
    
The Zori 1.0 package for electronic structure computations is described. Zori performs variational and diffusion Monte Carlo computations as well as correlated wave function optimization. This article presents an overview of the implemented methods and code capabilities.  相似文献   

13.
    
An algorithm to compute efficiently the first two derivatives of (very) large multideterminant wavefunctions for quantum Monte Carlo calculations is presented. The calculation of determinants and their derivatives is performed using the Sherman–Morrison formula for updating the inverse Slater matrix. An improved implementation based on the reduction of the number of column substitutions and on a very efficient implementation of the calculation of the scalar products involved is presented. It is emphasized that multideterminant expansions contain in general a large number of identical spin‐specific determinants: for typical configuration interaction‐type wavefunctions the number of unique spin‐specific determinants ( ) with a non‐negligible weight in the expansion is of order . We show that a careful implementation of the calculation of the Ndet ‐dependent contributions can make this step negligible enough so that in practice the algorithm scales as the total number of unique spin‐specific determinants, , over a wide range of total number of determinants (here, Ndet up to about one million), thus greatly reducing the total computational cost. Finally, a new truncation scheme for the multideterminant expansion is proposed so that larger expansions can be considered without increasing the computational time. The algorithm is illustrated with all‐electron fixed‐node diffusion Monte Carlo calculations of the total energy of the chlorine atom. Calculations using a trial wavefunction including about 750,000 determinants with a computational increase of ~400 compared to a single‐determinant calculation are shown to be feasible. © 2016 Wiley Periodicals, Inc.  相似文献   

14.
A new partitioning scheme for the electron density of a many-electron wavefunction into single electron densities is proposed. These densities are based on the most probable arrangement of the electrons in an atom or molecule. Therefore, they contain information about the electron-electron interaction and, most notably, the Fermi hole due to the antisymmetry of the many-electron wavefunction. The single electron densities overlap and can be combined to electron pair distributions close to the qualitative electron pairs that represent, for instance, the basis of the valence shell electron pair repulsion model. Single electron analyses are presented for the water, ethane, and ethene molecules. The effect of electron correlation on the single electron and pair densities is investigated for the water molecule.  相似文献   

15.
    
Massively parallel architectures offer the potential to significantly accelerate an application relative to their serial counterparts. However, not all applications exhibit an adequate level of data and/or task parallelism to exploit such platforms. Furthermore, the power consumption associated with these forms of computation renders “scaling out” for exascale levels of performance incompatible with modern sustainable energy policies. In this work, we investigate the potential for field-programmable gate arrays (FPGAs) to feature in future exascale platforms, and their capacity to improve performance per unit power measurements for the purposes of scientific computing. We have focused our efforts on variational Monte Carlo, and report on the benefits of coprocessing with a FPGA relative to a purely multicore system.  相似文献   

16.
17.
The relative performance of trial wave functions expressed as linear combination of correlated exponentials has been tested on a variety of systems. The results are compared against other correlated functions commonly used in the literature to assess the capabilities of the proposed ansatz. A possible departure from the simple exponential functional form used in previous works is discussed, along with its advantages and drawbacks. We also discuss how to implement an efficient optimization procedure for this correlated basis set. ©1999 John Wiley & Sons, Inc. Int J Quant Chem 74: 23–33, 1999  相似文献   

18.
19.
把Monte Carlo方法引进STO双中心重叠积分的计算中,结果表明,它不仅计算简便、快速、很容易在计算机上实现,而且具有较高的精确度,有望推广应用于更复杂的多中心分子积分中.  相似文献   

20.
    
The torsional ground state for ethane, the torsional, rotational, and mixed torsional and rotational ground state of propane are computed with a version of diffusion Monte Carlo adapted to handle the geometric complexity of curved spaces such as the Ramachandra space. The quantum NVT ensemble average for the mixed torsional and rotational degrees of freedom of propane is computed, using a version of Monte Carlo path integral, also adapted to handle curved spaces. These three problems are selected to demonstrate the generality and the applicability of the approaches described. The spaces of coordinates can be best constructed from the parameters of continuous Lie groups, and alternative methods based on vector spaces, where extended Lagrangian terms would be too cumbersome to implement. We note that the geometric coupling between the torsions and the rotations of propane produces a substantial effect on the ground state energy of propane, and that the quantum effects on the energy of propane are quite large even well above room temperature. © 2014 Wiley Periodicals, Inc.  相似文献   

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