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理论电化学

基于随机行走的二维空间扩散模拟研究

  • 赵建伟 ,
  • 陈莉莉 ,
  • 傅应强 ,
  • 黎绍鸿 ,
  • 陈天南 ,
  • 张世界
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  • 南京大学 化学化工学院, 生命分析化学国家重点实验室, 江苏 南京 210008

收稿日期: 2012-09-13

  修回日期: 2012-10-19

  网络出版日期: 2012-10-28

基金资助

This work was supported by National Basic Research Program of China (973 Program, 2010CB732400), the National Natural Science Foundation of China (NSFC) (20821063, 20873063, 51071084, and 21273113), the Natural Science Foundation of Jiangsu Province (BK2010389).

A New Random Walk Simulation Model for Study of Diffusion Behavior of Single Particle Within Two-Dimensional Space

  • Jianwei Zhao ,
  • Lili Chen ,
  • Yingqiang Fu ,
  • Shaohong Li ,
  • Tiannan Chen ,
  • Shijie Zhang
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  • State Key Lab of A nalytical Chemistry for Life Science, School of Chemistry and Chemical Engineering, Nanjing University, Nanjing 210008, China

Received date: 2012-09-13

  Revised date: 2012-10-19

  Online published: 2012-10-28

Supported by

This work was supported by National Basic Research Program of China (973 Program, 2010CB732400), the National Natural Science Foundation of China (NSFC) (20821063, 20873063, 51071084, and 21273113), the Natural Science Foundation of Jiangsu Province (BK2010389).

摘要

分子的扩散行为是微观化学的重要研究领域. 影响扩散行为的因素很多,但是目前各个因素的具体影响效果还不明确. 作者基于随机行走理论建立了分子在二维空间的扩散模型,依据此模型自主开发了模拟软件以及数据分析系统,并利用该模拟软件系统研究了势垒尧横向速度等因素对扩散行为的影响,验证了该模型的可靠性,证明根据该模型可以得到和实验尧理论相吻合的结果. 该软件有望成为模拟微观化学扩散行为的潜在平台,如电化学以及膜过滤过程中的扩散.

本文引用格式

赵建伟 , 陈莉莉 , 傅应强 , 黎绍鸿 , 陈天南 , 张世界 . 基于随机行走的二维空间扩散模拟研究[J]. 电化学, 2012 , 18(5) : 427 -436 . DOI: 10.61558/2993-074X.2613

Abstract

Research on diffusion behaviors is of significant value in that it is closely related to transport phenomena in micro-chemistry. However, the effects of variables on diffusion are still unclear. Here, we developed and programmed a simulation methodology along with data analysis, which was capable to simulate the diffusion of a particle within twodimensional heterogeneous space in large timescale; the effects of periodically arranged impenetrable barriers of specific shape and lateral drifting velocity on diffusion behavior were studied. As well as standard mean square displacement analysis, a new method, the appearance probability distribution method, was introduced, which revealed whether the particle tended to be present at certain positions. This article introduced the construction of the simulation model and demonstrated the validity of the model. The results showed that our model fit qualitatively well with experiments and theories. The model was proved to be an excellent potential platform for simulating the diffusion behaviors in micro-chemistry, such as the diffusion process in electrochemistry as well as nanofiltration membrane.

参考文献

[1] Hu D Z (胡道中), Chen S (陈实), Wang Z D (王子冬), et al. The measurement and application of hydrogen diffusion coefficient in MH electrode [J]. Acta Physico-Chimica Sinica (物理化学学报), 2006, 22 (9): 1151-1154.
[2] Ke J Y (柯佳颖), Fu Y Q (傅应强), Chen L L (陈莉莉), et al. The random walk simulation of the ions diffusion in the membrane materials of lithium-ion battery [J]. Journal of Fudan University (Natural Science) (复旦学报自然科学版), 2012, 51 (2): 251-254.
[3] Shi H B (史红兵), Yu Y X (于养信), Gao G H (高光华). Brownian dynamics simulation of self-diffusion coefficients of electrolyte solutions [J]. Chemical Journal of Chinese Universities (高等学校化学学报), 2004, 25 (12): 2317-2321.
[4] Claridge S A, Schwartz J J, Weiss P S. Electrons, photons, and force: quantitative single-molecule measurements from physics to biology [J]. ACS Nano, 2011, 5 (2): 693-729.
[5] Deniz A A, Mukhopadhyay S, Lemke E A. Single-molecule biophysics: at the interface of biology, physics and chemistry [J]. Journal of the Royal Society Interface, 2008, 5 (18):15-45.
[6] Greenleaf W J, Woodside M T, Block S M. High-resolution, single-molecule measurements of biomolecular motion [J]. Annual Review of Biophysics and Biomolecular Structure, 2007, 36: 171-190.
[7] Lee G M, Ishihara A, Jacobson K A. Direct observation of brownian-motion of lipids in a membrane [J]. Proceedings of the National Academy of Sciences of the United States of America, 1991, 88 (14): 6274-6278.
[8] Saxton M J, Jacobson K. Single-particle tracking: applications to membrane dynamics [J]. Annual Review of Biophysics and Biomolecular Structure, 1997, 26: 373-399.
[9] Takimoto B, Nabika H, Murakoshi K. Single molecular observation of hop diffusion in a lipid bilayer at metallic nanogates [J]. Journal of Physical Chemistry C, 2009, 113 (8): 3127-3132.
[10] Niehaus A M S, Vlachos D G, Edwards J S, et al. Microscopic simulation of membrane molecule diffusion on corralled membrane surfaces [J]. Biophysical Journal, 2008, 94 (5): 1551-1564.
[11] Ritchie K, Shan X Y, Kondo J, et al. Detection of non-brownian diffusion in the cell membrane in single molecule tracking [J]. Biophysical Journal, 2005, 88 (3): 2266-2277.
[12] Nabika H, Fukasawa A, Murakoshi K. Tuning the dynamics and molecular distribution of the self-spreading lipid bilayer [J]. Physical Chemistry Chemical Physics, 2008, 10 (16): 2243-2248.
[13] Nabika H, Iijima N, Takimoto B, et al. Segregation of molecules in lipid bilayer spreading through metal nanogates [J]. Analytical Chemistry, 2009, 81 (2): 699-704.
[14] Nabika H, Takimoto B, Murakoshi K. Molecular separation in the lipid bilayer medium: electrophoretic and self-spreading approaches [J]. Analytical and Bioanalytical Chemistry, 2008, 391 (7): 2497-2506.
[15] Takimoto B, Nabika H, Murakoshi K. Force applied to a single molecule at a single nanogate molecule filter [J]. Nanoscale, 2010, 2 (12): 2591-2595.
[16] Fu Y Q, Chen L L, Ke J Y, et al. Simulate the diffusion of hydrated ions by nanofiltration membrane process with random walk [J]. Molecular Simulation, 2012, 38 (6): 491-497.
[17] Murase K, Fujiwara T, Umemura Y, et al. Ultrafine membrane compartments for molecular diffusion as revealed by single molecule techniques [J]. Biophysical Journal, 2004, 86 (6): 4075-4093.
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