Collective transport of Lennard–Jones particles through one-dimensional periodic potentials

doi:10.1088/1674-1056/26/7/070502

中国物理B ›› 2017, Vol. 26 ›› Issue (7): 70502-070502.doi: 10.1088/1674-1056/26/7/070502

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Collective transport of Lennard–Jones particles through one-dimensional periodic potentials

Jian-hui He(何健辉), Jia-le Wen(温家乐), Pei-rong Chen(陈沛荣), Dong-qin Zheng(郑冬琴), Wei-rong Zhong(钟伟荣)

Siyuan Laboratory, Guangzhou Key Laboratory of Vacuum Coating Technologies and New Energy Materials, Department of Physics, Jinan University, Guangzhou 510632, China

收稿日期:2017-01-13 修回日期:2017-03-30 出版日期:2017-07-05 发布日期:2017-07-05
通讯作者: Wei-rong Zhong E-mail:wrzhong@hotmail.com
基金资助:
Project supported by the Natural Science Foundation of Guangdong Province,China (Grant No.2014A030313367) and the Fundamental Research Fund for the Central Universities,China (Grant No.11614341).

Collective transport of Lennard–Jones particles through one-dimensional periodic potentials

Jian-hui He(何健辉), Jia-le Wen(温家乐), Pei-rong Chen(陈沛荣), Dong-qin Zheng(郑冬琴), Wei-rong Zhong(钟伟荣)

Siyuan Laboratory, Guangzhou Key Laboratory of Vacuum Coating Technologies and New Energy Materials, Department of Physics, Jinan University, Guangzhou 510632, China

Received:2017-01-13 Revised:2017-03-30 Online:2017-07-05 Published:2017-07-05
Contact: Wei-rong Zhong E-mail:wrzhong@hotmail.com
Supported by:
Project supported by the Natural Science Foundation of Guangdong Province,China (Grant No.2014A030313367) and the Fundamental Research Fund for the Central Universities,China (Grant No.11614341).

摘要/Abstract

摘要：

The surrounding media in which transport occurs contains various kinds of fields, such as particle potentials and external potentials. One of the important questions is how elements work and how position and momentum are redistributed in the diffusion under these conditions. For enriching Fick's law, ordinary non-equilibrium statistical physics can be used to understand the complex process. This study attempts to discuss particle transport in the one-dimensional channel under external potential fields. Two kinds of potentials–-the potential well and barrier–-which do not change the potential in total, are built during the diffusion process. There are quite distinct phenomena because of the different one-dimensional periodic potentials. By the combination of a Monte Carlo method and molecular dynamics, we meticulously explore why an external potential field impacts transport by the subsection and statistical method. Besides, one piece of evidence of the Maxwell velocity distribution is confirmed under the assumption of local equilibrium. The simple model is based on the key concept that relates the flux to sectional statistics of position and momentum and could be referenced in similar transport problems.

关键词: transport, external potential, collective diffusion, Maxwell velocity distribution

Abstract:

Key words: transport, external potential, collective diffusion, Maxwell velocity distribution

中图分类号: (Classical transport)

05.60.Cd

47.60.Dx (Flows in ducts and channels) 05.70.Ln (Nonequilibrium and irreversible thermodynamics) 47.63.-b (Biological fluid dynamics)

何健辉, 温家乐, 陈沛荣, 郑冬琴, 钟伟荣. Collective transport of Lennard–Jones particles through one-dimensional periodic potentials[J]. 中国物理B, 2017, 26(7): 70502-070502.

Jian-hui He(何健辉), Jia-le Wen(温家乐), Pei-rong Chen(陈沛荣), Dong-qin Zheng(郑冬琴), Wei-rong Zhong(钟伟荣). Collective transport of Lennard–Jones particles through one-dimensional periodic potentials[J]. Chin. Phys. B, 2017, 26(7): 70502-070502.

参考文献 37

[1]	Nelson P 2004 Biological Physics:Energy, Information, Life (New York:W. H. Freeman and Company)
[2]	Castellano C, Fortunato S and Loreto V 2009 Rev. Mod. Phys. 81 591
[3]	Peng B and Yu Y X 2008 Langmuir 24 12431
[4]	Yu Y X 2009 J. Chem. Phys. 131 024704
[5]	Peng B and Yu Y X 2008 J. Phys. Chem. B 112 15407
[6]	Liu X, Schnell S K, Simon J M, Bedeaux D, Kjelstrup S, Bardow A and Vlugt T J 2011 J. Phys. Chem. B 115 12921
[7]	Chvoj Z 2008 J. Stat. Mech-Theory. E 2008 08002
[8]	Prinsen P and Odijk T 2007 J. Chem. Phys. 127 115102
[9]	Yu Y X, Tian A W and Gao G H 2005 Phys. Chem. Chem. Phys. 7 2423
[10]	Zhong C, Chen Z Q, Yang W G and Xia H 2013 Acta. Phys. Sin. 62 214207 (in Chinese)
[11]	Tarasenko A 2014 J. Chem. Phys. 141 034117
[12]	Siems U and Nielaba P 2015 Phys. Rev. E 91 022313
[13]	Chou T and Lohse D 1999 Phys. Rev. Lett. 82 3552
[14]	Ai B Q 2009 Phys. Rev. E 80 011113
[15]	Huang X Q, Deng P and Ai B Q 2013 Physica A 392 411
[16]	Koumakis N, Maggi C and Di Leonardo R 2014 Soft Matter 10 5695
[17]	Wang S M, Yu Y X and Gao G H 2006 J. Membrane. Sci. 271 140
[18]	Jiaye S and Hongxia G 2011 Acs Nano 5 351
[19]	Rinne K F, Gekle S, Bonthuis D J and Netz R R 2012 Nano Lett. 12 1780
[20]	Li F G and Ai B Q 2011 Chem. Phys. 388 43
[21]	Allen T W, Bliznyuk A, Rendell A P, Kuyucak S and Chung S H 2000 J. Chem. Phys. 112 8191
[22]	Mashl R J, Tang Y Z, Schnitzer J and Jakobsson E 2001 Biophys. J. 81 2473
[23]	Allen T W and Chung S H 2001 Bba-Biomembranes. 1515 83
[24]	Li B, Wang L and Casati G 2004 Phys. Rev. Lett. 93 184301
[25]	Skoulidas A I, Ackerman D M, Johnson J K and Sholl D S 2002 Phys. Rev. Lett. 89 185901
[26]	Lepri S, Livi R and Politi A 2003 Phys. Rep. 377 1
[27]	Adams D J 1975 Mol. Phys. 29 307
[28]	Metropolis N, Rosenbluth A W, Rosenbluth M N, Teller A H and Teller E 1953 J. Chem. Phys. 21 1087
[29]	Allen M P 1987 Computer Simulation of Liquids (United States:Clarendon Press)
[30]	Cracknell R F, Nicholson D and Quirke N 1995 Phys. Rev. Lett. 74 2463
[31]	Wen J L, Zheng D Q and Zhong W R 2015 Rsc. Adv. 5 99573
[32]	Xu Z C, Zheng D Q, Ai B Q, Hu B and Zhong W R 2015 Aip. Adv. 5 107145
[33]	Girifalco L A, Hodak M and Lee R S 2000 Phys. Rev. B 62 13104
[34]	Cracknell R F, Nicholson D and Quirke N 1995 Phys. Rev. Lett. 74 2463
[35]	Reguera D and Rubi J M 2001 Phys. Rev. E 64 061106
[36]	Li R S 1995 Equilibrium and non-equilibrium Statistical Mechanics (Beijing:Tsinghua University Press)
[37]	Chen P R, Xu Z C, Gu Y and Zhong W R 2016 Chin. Phys. B 25 086601

Collective transport of Lennard–Jones particles through one-dimensional periodic potentials

Collective transport of Lennard–Jones particles through one-dimensional periodic potentials

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