金刚石格点上自避行走尾形链的构象统计理论

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研究了金刚石格点上自避随机行走(SAW)尾形链,采用精确计数和MonteCarlo模拟方法求得该SAW尾形链的构象数C(D)1(N)和均方末端距[h(D)1(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,从这些量的计算机实验数据拟合求出了金刚石格点上SAW尾形链的临界指数和格点指数.计算结果还表明短链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.这些都与简立方格子模型上得到的结果一致. In this paper, we study the self-avoiding random walking (SAW) tail-shaped chain on the diamond lattice and calculate the conformation number C (D) 1 (N) and mean square end distance [h (D)) of the SAW tail chain by exact counting and Monte Carlo simulation. 1 (N)] 2 and its components with the chain length N changes. They found that they behaved in the same way as the free SAW chains. From these quantities of computer experimental data, the critical index and the lattice index of the SAW cochlear chain on the diamond lattice were calculated. The calculated results also show that the short-chain SAW extends in the normal direction of the wall as the NRW tail-shaped chain, and the normal component of the mean square end-span is almost twice as large as the parallel component. However, with N → ∞, The role of shielding. These are consistent with the results obtained from the simple square lattice model.
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