Chin. Phys. Lett.  2012, Vol. 29 Issue (1): 010502    DOI: 10.1088/0256-307X/29/1/010502
GENERAL |
Relationship between the Permeation-Diffusion Parameters of a Single-File Channel
LIU Jian1,2, FAN Jian-Fen1**
1College of Chemistry, Chemical Engineering and Materials Science, Soochow University, Suzhou 215123
2Shanghai Institute of Applied Physics, Chinese Academy of Sciences, PO Box 800-204, Shanghai 201800
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LIU Jian, FAN Jian-Fen 2012 Chin. Phys. Lett. 29 010502
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Abstract Two sets of widely used parameters can describe the molecular permeation through a nanochannel. One is permeation rate j and its diffusion Dn, and the other is flow and net flux. We establish a relationship between the two sets for a single-file nanochannel, as well as its dependence on the temperature and pressure difference between the two ends of a single-file channel, based on the Brownian motion theories and verified with molecular dynamics simulations for the water diffusion in a transmembrane (6,6) armchair carbon nanotube. Simulation results are in excellent agreement with our predictions.
Keywords: 05.40.Jc      05.60.Cd      87.15.H-     
Received: 10 July 2011      Published: 07 February 2012
PACS:  05.40.Jc (Brownian motion)  
  05.60.Cd (Classical transport)  
  87.15.H- (Dynamics of biomolecules)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/29/1/010502       OR      https://cpl.iphy.ac.cn/Y2012/V29/I1/010502
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LIU Jian
FAN Jian-Fen
[1]  Agre P 2004 Angew. Chem. Int. Ed. 43 4278 
[2]  Finkelstein A 1987 Water Movement through Lipid Bilayers, Pores, and Plasma Membranes (New York: John Wiley & Sons) 
[3]  Shannon M A, Bohn P W, Elimelech M, Georgiadis J G, Mariñas B J and Mayes A M 2008 Nature 452 301 
[4]  de Groot B L and Grubmüller H 2001 Science 294 2353 
[5]  Zhu F, Tajkhorshid E and Schulten K 2002 Biophys. J. 83 154 
[6]  Zhu F, Tajkhorshid E and Schulten K 2004 Biophys. J. 86 50 
[7]  de Groot B L, Tieleman D P, Pohl P and Grubmüller H 2002 Biophys. J. 82 2934 
[8]  Hummer G, Rasaiah J C and Noworyta J P 2001 Nature 414 188 
[9]  Zhu F, Tajkhorshid E and Schulten K 2004 Phys. Rev. Lett. 93 224501 
[10]  Wan R, Li J, Lu H and Fang H 2005 J. Am. Chem. Soc. 127 7166 
[11]  Li J, Gong X, Lu H, Li D, Fang H and Zhou R 2007 Proc. Natl. Acad. Sci. U. S.A. 104 3687 
[12]  Gong X, Li J, Lu H, Wan R, Li J, Hu J and Fang H 2007 Nature Nanotechnol. 2 709 
[13]  Wan R, Lu H, Li J, Bao J, Hu J and Fang H 2009 Phys. Chem. Chem. Phys. 11 9898 
[14]  Wan R, Li S and Fang H 2010 Chin. Phys. Lett. 27 084702 
[15]  Liu Jet al 2010 J. Phys. Chem. B 114 12183 
[16]  Karlin S and Taylor H M 1975 A First Course in Stochastic Processes (San Diego: Academic) 
[17]  Kubo R, Toda M and Hashitsume N 1991 Statistical Physics II: Nonequilibrium Statistical Mechanics (New York: Springer) 
[18]  Phillips J C, Braun R, Wang W, Gumbart J, Tajkhorshid E, Villa, E, Chipot C, Skeel R D, Kalé L and Schulten K J 2005 J. Comput. Chem. 26 1781 
[19]  Jorgensen W L, Chandrasekhar J, Madura J D, Impey R W and Klein M L 1983 J. Chem. Phys. 79 926 
[20]  MacKerell A D, Bashford D, Bellott M, Dunbrack R L, Evanseck J D, Field M J, Fischer S, Gao J, Guo H, Ha S, Joseph D, Kuchnir L, Kuczera K, Lau F T K, Mattos C, Michnick S, Ngo T, Nguyen D T, Prodhom B, Reiher III W E, Roux B, Schlenkrich M, Smith J, Stote R, Straub J, Watanabe M, Wiorkiewicz-Kuczera J, Yin D and Karplus M 1998 J. Phys. Chem. B 102 3586 
[21]  Darden T A, York D M and Pedersen L G 1993 J. Chem. Phys. 98 10089 
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