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arXiv 2104.09853cond-mat.soft
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Polymer系统结构因子的神经网络模型

Neural Network Model for Structure Factor of Polymer Systems

Jie Huang, Xinghua Zhang, Gang Huang, Shiben Li

摘要:

结构因子作为理解高分子链内部结构的一个重要物理量,在理论和实验上都得到了广泛的研究。理论上,高斯链的结构因子可以用解析法求解,而蠕虫链的结构因子通常采用数值方法,如蒙特卡罗(MC)模拟、求解修正扩散方程(MDE)等。这些方法需要根据链的波矢和刚度的不同区域计算结构因子,且计算过程耗费资源。在这项工作中,通过训练深度神经网络(NN),我们获得了一个有效的模型来计算聚合物链的结构因子,而不考虑波数和链刚性的不同区域。此外,基于训练好的神经网络模型,我们利用散射实验数据对一些高分子链的轮廓和Kuhn长度进行了预测,发现我们的模型可以得到比较合理的预测。这一工作提供了一种方法来获得高分子链的结构因子,这是一样好的,与以前的计算效率更高。同时也为实验研究人员测量高分子链的轮廓和Kuhn长度提供了一种可能的方法。

英文摘要:

As an important physical quantity to understand the internal structure of polymer chains, the structure factor is being studied both in theory and experiment. Theoretically, the structure factor of Gaussian chains have been solved analytically, but for wormlike chains, numerical approaches are often used, such as Monte Carlo (MC) simulations, solving modified diffusion equation (MDE), etc. In those works, the structure factor needs to be calculated differently for different regions of the wave vector and chain rigidity, and some calculation processes are resource consuming. In this work, by training a deep neural network (NN), we obtained an efficient model to calculate the structure factor of polymer chains, without considering different regions of wavenumber and chain rigidity. Furthermore, based on the trained neural network model, we predicted the contour and Kuhn length of some polymer chains by using scattering experimental data, and we found our model can get pretty reasonable predictions. This work provides a method to obtain structure factor for polymer chains, which is as good as previous, and with a more computationally efficient. Also, it provides a potential way for the experimental researchers to measure the contour and Kuhn length of polymer chains.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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