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1.
端基附壁高分子链的构象统计理论——Ⅱ.SAW尾形链   总被引:4,自引:0,他引:4  
研究了SAW尾形链,采用精确计数和Monte Carlo模拟方法求得d维(d=2,3)SAW尾形链的构象数C_1~d和均方末端距[h_1~d(N)]~2及其分量随链长N的变化关系.发现它们与自由SAW链一样都服从标度律,从模拟数据拟合求出了这些SAW尾形链的临界指数.还表明短链SAW在壁的法向与NRW尾形链一样有所伸展,均方末端距的法向分量几乎是平行分量的2倍;但随N→∞,链自回避效应对壁的作用有所屏蔽,这与NRW尾形链有明显不同.  相似文献   

2.
端点附壁的高分子链形状的Monte Carlo模拟   总被引:4,自引:0,他引:4  
分别基于简立方格点和四面体格点模型对一端吸附在无限大平面的高分子链(平面接枝高分子链)的形状进行了Monte Carlo模拟,结果表明,接枝高分子链的形状更偏离球形,〈L^21〉:〈L^22〉:〈L^23〉的极限值约为1:2.75:12.5,其中〈L^21〉,〈L^22〉和〈L^23〉分别为回转半径张量的本征值L^21,L^22和L^23(L^21〈L^22〈L^23)的统计平均;链长相同时,接枝  相似文献   

3.
嵌段高分子尾形链构象性质的Monte Carlo研究   总被引:4,自引:0,他引:4  
基于简立方格点模型对AB两嵌段高分子尾形链的构象性质及其链节的空间分布进行了MonteCarlo模拟.结果表明,链的尺寸、形状和链节的空间分布等统计性质和B链节与平面壁之间的相互吸引能有关.随着B链节与壁之间的吸引能的增加,链的尺寸和形状均呈现出先下降后升高的变化趋势,而且B链节的比例越大,这种变化越明显.  相似文献   

4.
聚乙烯型尾形链构象统计的Monte Carlo研究   总被引:5,自引:0,他引:5  
以聚乙烯型尾形链为例 ,根据链的实际键长、键角和Θ条件下每一链段处于不同旋转异构态的条件概率 ,用MonteCarlo模拟方法生成样本链分子 ,计算了尾形链的均方末端矩及其分量、构象数 ,并与完全计算法及理论推导值作了比较 ,讨论了尾形链构象数和沿边界方向及法线方向均方末端矩分量随链段数n及键角Φ的变化 .  相似文献   

5.
高分子链形状与尺寸关联的Monte Carlo模拟   总被引:2,自引:0,他引:2       下载免费PDF全文
运用MonteCarlo方法对线型高分子链格点模型的构型进行了模拟,研究了构型的尺寸(采用平方末端距R2,平方回转半径S2来表征)和形状(由非球形因子A表征)之间的关联.对任何长度的高分子链,其关联系数CA,R2和CA,S2均为正值,表明高分子链的形状与尺寸之间存在正关联,即尺寸小的构型其非球形因子A一般也小,反之尺寸大的构型其非球形因子A一般也大.关联系数CA,R2和CA,S2均随链长的增大而减小,近似地与链长的倒数(n-1)成正比.研究还表明,关联系数的极限值(链长n很大时)与格点的类型无关,与链样本产生的方式也无关,但与链是否考虑排斥体积有关,考虑了排斥体积后,关联系数增大.  相似文献   

6.
本文主要研究半刚性高分子链在不同温度下的形态变化,特别是在低温下的塌缩相变。我们对半刚性高分子链在三维简立方点阵上进行蒙特卡洛数值模拟。计算模型中考虑了链段间的排斥势、近邻间的吸引势和局域刚性势。链的刚性程度由刚性势与吸引势的比值确定。计算证明在温度逐步下降时,柔性链的形态由高温下的无规线团逐渐收缩为低温下的无规紧缩线团;但刚性程度较高的链则首先扩展,然后再收缩为具有一定有序度的紧缩态。同时我们也证明半刚性高分子链的塌缩相变是与柔性链的形态转变相同,它们的热力学行为都符合二级相变的特征。  相似文献   

7.
采用动态蒙特卡洛分子模拟研究了环形高分子单链在不良溶剂中发生塌缩转变时可逆地出现具有核-壳结构特征的熔球中间态,发现该结构特征与相同链长的线形单链基本相同,表明其只与链的长短有关,而与链端基的特殊效应无关.本工作将这一现象与单链单晶在其平衡熔点附近出现的类似现象相互关联,采用表面预溶模型来解释单链塌缩出现熔球中间态的热力学机理.分子量越低,熔球越小,表面预溶现象就越显著,塌缩转变随热力学条件变化就越缓慢.实际的高分子体系由于链内拓扑缠结,在表面未必能充分释放片段链,达不到理论预期的平衡态.表面预溶使得相分离临界点或晶体熔点附近在界面厚度方向上存在链单元能量状态不连续分布,这在微观分子水平上与临界界面连续浓度梯度的传统理论处理不一致,为我们深入理解高分子流体界面的微观结构带来帮助.  相似文献   

8.
当线形高分子链两端被固体壁吸附后,形成了“环形链”。采用半空间格点中的普通随机行走(NRW)模型讨论了环形链构象的统计理论。在NRW尾形链构象分布函数的基础上,容易推导出NRW环形链构象数的公式。当链长N→∞时,环形链构象数与自由链构象数之比随N~(-3/2)而变化。用递归方程也导出了同样的结果。环形链的均方末端距(?)与均方键长l~2之比为2N/3,与长度相同的自由链比较,有一定收缩。所导出的基本关系得到了精确计数和Monte Carlo模拟的支持。  相似文献   

9.
端基附壁模型聚合物环形链的构象统计理论   总被引:2,自引:0,他引:2  
廖琦  吴大诚 《高分子学报》2000,30(4):420-425
环形链定义为两个端基均附壁的线形聚合物链所得的环 .采用精确计数和蒙特卡罗模拟方法 ,研究了自回避行走 (SAW)模型表示的环形链的构象 ,求得构象数和均方回转半径随链长的变化 .对于二维和三维SAW环形链 ,精确计数的最大链长分别为N =2 9和 1 9.用标度理论处理了数值结果 ,所得的标度指数和其他参数与理论预示值进行了比较 .模拟结果表明 ,SAW环形链限制壁平行方向的尺寸大于垂直方向的尺寸 ,与SAW尾形链尺寸的变化正好相反 .  相似文献   

10.
表面活性剂与高分子链混合体系的模拟   总被引:3,自引:0,他引:3  
计算机模拟了高分子链对表面活性剂胶束形成过程的影响,以及高分子链构象性质随胶束化过程的变化.结果表明,当高分子链与表面活性剂之间的相互作用强度超过临界值后,高分子链的存在有利于表面活性剂胶束的形成.临界聚集浓度(CAC)与临界胶束浓度(CMC)的比值CAC/CMC随高分子链长的增大和相互吸引作用的增强而减小.在CAC之前,高分子链与表面活性剂分子只有动态的聚集;但在CAC之后,表面活性剂胶束随表面活性剂浓度X的增加而增大,并静态地吸附在高分子链上,形成表面活性剂/高分子聚集体.随着表面活性剂分子的加入,高分子链的均方末端距和平均非球形因子先保持恒定;从X略小于CAC开始, 和快速减小,至极小值后又逐渐增大.模拟结果支持高分子链包裹在胶束表面的实验模型.  相似文献   

11.
    
Introduction Basedonthethermodynamichypothesis[1],any computionalapproachforsolvingproteinfoldingprob lemsoranabinitiopredictionofproteintertiarystruc turesfromtheirprimarysequences,requiresanempiri calpotentialfunctionthathasitsglobalminimumatthe natives…  相似文献   

12.
    
Global minimization algorithm is indispensable to solving the protein folding problem based upon thermodynamic hypothesis. Here we propose a pseudo potential function, contact difference(CD), for simulating empirical contact potential functions and testing global minimization algorithm. The present paper covers conformational sampling and global minimization algorithm called BML03, based upon Monte Carlo and simulated annealing, which is able to locate CD‘s global minimum and refold extended protein structures into one swith root mean square distance(RMSD) as small as 0.03 nm from the native structures. For empirieal contact potential functions, these results demonstrate that their global minimization problems may be solvable.  相似文献   

13.
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   

14.
 We performed Monte Carlo simulations to study the destabilization processes of large neutral and flexible polymer chains due to irreversibly adsorbed colloidal particles attached to the chains like beads on a necklace. The particles are modeled as charged spherical units which interact with each other via repulsive electrostatic and attractive van der Waals (vdW) potentials. The usual Monte Carlo search procedure is extended and carefully checked to completely sample the chain conformational space and achieve dense conformations in the limit of both strong attractive and repulsive interaction potentials. Configurational properties, such as the radius of gyration, the end-to-end length, and the Kuhn length, are calculated as a function of the intensity of the vdW interactions and ionic strength values. It is observed that chains exhibit a new range of possible conformations compared to the classical random walk and self avoiding walk chains or polyelectrolytes. In the limit of low salt concentration, by gradually increasing vdW interactions, chains undergo a cascade of transitions from extended structures to dumbbells, from dumbbells to pearl necklaces, and from pearl necklaces to collapsed coils. Because of strong competition between the vdW and electrostatic forces, the distance along the chain between the interacting particles, and the sampling limitations, these transitions are found to sample metastable domains and to depend on the initial conformations. To gain insight into the spatial organization of the collapsed conformations, the pair correlation functions of both monomers and particles are calculated. It is shown that collapsed conformations which are the result of strong particle–particle interactions exhibit two distinct parts: a hard core mainly composed of particles and a surrounding polymeric shell composed of loops and tails. Possible effects of such a collapsed transition on the kinetics of flocculation of a mixture containing large flexible chains and small adsorbing colloidal particles are discussed. Received: 26 July 1999 Accepted in revised form: 9 November 1999  相似文献   

15.
    
The kinetics of structural relaxation was simulated using the bond fluctuation model. Annealing of the system in the glassy state produces a clearly nonexponential decrease in the energy in a certain temperature interval. At lower temperatures, the decrease in energy takes place by successive small steps, due to the change of the energy of individual polymer chains that modify their conformation into small neighbourhoods. This cooperativity is behind the nonexponential behaviour shown by structural relaxation at higher temperatures. A second order Markov chain is able to reproduce the nonexponentiality with quite good agreement with the bond fluctuation simulated curves. Cooperativity comes from the fact that the transition probability of a polymer chain between two energy levels depends on the history of previous transitions that took place in its neighbourhood.

  相似文献   


16.
采用蒙特卡罗方法和基于三维格点的ODI模型,研究了类蛋白质分子二级结构变化与表面吸附能的关系.分别计算了链长为29,39,49时、不同吸附能下类蛋白质分子二级结构的个数.包括α螺旋、β 折叠、紧密接触对.吸附能参数εa2εh时,这三类二级结构个数均没有明显的变化,而在2εhεa4εh,二级结构的个数迅速减小,εa4εh时,二级结构的个数基本维持不变.同时发现吸附能增强对螺旋结构变化的影响最大,对折叠结构的影响其次,对紧密接触对影响最小.这体现在螺旋结构的减小幅度为90%,折叠结构减小的幅度为45%,而紧密接触对减小的幅度为35%.通过统计吸附单体个数,得到当吸附单体占总单体数的40%时,二级结构开始变化,直至吸附单体为总单体数的90%时,二级结构基本不变.另外还计算了二级结构个数的涨落δNh、δNc以及吸附单体个数的涨落δNa.在εa2εh时,涨落突然增大,在εa=2εh时,δNh和δNb具有涨落极大值,这是二级结构相变的临界点.在εa=3.75εh处,δNc和δNa具有极大值.  相似文献   

17.
    
Coil-to-globule transitions are fundamental problems existing in polymer science for several decades; however, some features are still unclear, such as the effect of chain monomer interaction. Herein, we use Monte Carlo simulation to study the coil-to-globule transition of simple compact polymer chains. We first consider the finite-size effects for a given monomer interaction, where the short chain exhibits a one-step collapse while long chains demonstrate a two-step collapse, indicated by the specific heat. More interestingly, with the decrease of chain monomer interaction, the critical temperatures marked by the peaks of heat capacity shift to low values. A closer examination from the energy, mean-squared radius of gyration and shape factor also suggests the lower temperature of coil-to-globule transition.  相似文献   

18.
Abstract

Reverse Monte Carlo (RMC) modelling has been used to create three dimensional particle configurations of condensed 4He that are consistent with diffraction data at ten different temperatures across the superfluid transition. Here it is shown that all observable changes in the data are within the experimental uncertainties, so no conclusions can be drawn concerning possible structural differences between normal fluid and superfluid. The local structure is found to be dominantly icosahedral.  相似文献   

19.
    
Summary: Crystallization, melting and annealing of nanoparticles of tetracontane were simulated via a Monte Carlo method on the second nearest neighbor diamond (2nnd) lattice by including short‐ and long‐range interactions. Nanoparticles can be obtained from an equilibrated tetracontane melt by increasing three periodic lengths to values that are effectively infinite. Nanoparticles, which contain 155 chains of C40H82, have been produced. After a deep quench from 473 K to 298 K, the crystallization process was investigated by the evolution of the density profile, fraction of bonds in the trans state, and the orientational order parameter. The vicinity of the center is less dense and less well ordered than portions of the nanoparticle located further from the center. The crystals form first in the region close to the surface. Each nanoparticle usually contains multiple crystalline domains. A melting phenomenon was observed at a temperature about 365 K when the nanoparticle crystal was heated. Annealing of the multiple domain crystal at 360 K can transform the structure to a more regular one without a grain boundary.

Snapshot of the final structure containing a single domain crystal after 20 million MCS.  相似文献   


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