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arXiv 0712.0359cond-mat.soft
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在耗散粒子动力学中,polymer链的标度是如何成立的?

How does the scaling for the polymer chain in the dissipative particle dynamics hold?

J. M. Ilnytskyi, Yu. Holovatch

摘要:

我们进行了一系列的模拟线性聚合物链在溶剂中使用耗散粒子动力学检查的标度关系的端到端的距离,回转半径和流体动力学半径在三维。研究了各种质量的显式溶剂中多达80个珠粒的聚合物链。为了提取标度指数ν,使用线性拟合、校正标度形式和对回转半径分布直方图的分析拟合来分析数据。对于聚合物特性和溶剂质量的某些组合,校正缩放项被发现是必不可少的,而对于其他这些是微不足道的小。在每种特定情况下,指数ν的最终值都是根据最佳最小二乘拟合来选择的。用这种方法得到的ν值在ν=0.55-0.61之间,但大多集中在0.59附近,这与最著名的理论结果ν=0.588非常接近。这一区间的存在是由于这一方法的特殊性和被模拟的中等链长。在这一缺点之内,发现这种模型中的聚合物链对于所考虑的所有三个半径都满足标度关系

英文摘要:

We performed a series of simulations for a linear polymer chain in a solvent using dissipative particle dynamics to check the scaling relations for the end-to-end distance, radius of gyration and hydrodynamic radius in three dimensions. The polymer chains of up to 80 beads in explicit solvent of various quality are studied. To extract the scaling exponent ν, the data are analyzed using linear fits, correction-to-scaling forms and analytical fits to the histograms of radius of gyration distribution. For certain combinations of the polymer characteristics and solvent quality, the correction-to-scaling terms are found to be essential while for the others these are negligibly small. In each particular case the final value for the exponent νwas chosen according to the best least-squares fit. The values of νobtained in this way are found within the interval ν=0.55-0.61 but are concentrated mostly around 0.59, which is very close to the best known theoretical result ν=0.588. The existence of this interval is attributed both to the peculiarities of the method and to the moderate chain lengths being simulated. Within this shortcoming, the polymer chain in this kind of modeling is found to satisfy the scaling relations for all three radii being considered

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