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Collective diffusion in carbon nanotubes: Crossover between one dimension and three dimensions |
Pei-Rong Chen(陈沛荣), Zhi-Cheng Xu(徐志成), Yu Gu(古宇), Wei-Rong Zhong(钟伟荣) |
Siyuan Laboratory, Guangzhou Key Laboratory of Vacuum Coating Technologies and New Energy Materials, Department of Physics, College of Science and Engineering, Jinan University, Guangzhou 510632, China |
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Abstract Using non-equilibrium molecular dynamics and Monte Carlo methods, we study the collective diffusion of helium in carbon nanotubes. The results show that the collective diffusion coefficient (CDC) increases with the dimension of the channel. The collective diffusion coefficient has a linear relationship with the temperature and the concentration. There exist a ballistic transport in short carbon nanotubes and a diffusive transport in long carbon nanotubes. Fick's law has an invalid region in the nanoscale channel.
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Received: 27 February 2016
Revised: 03 May 2016
Accepted manuscript online:
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PACS:
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66.10.cg
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(Mass diffusion, including self-diffusion, mutual diffusion, tracer diffusion, etc.)
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66.30.je
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(Diffusion of gases)
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05.60.Cd
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(Classical transport)
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47.61.-k
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(Micro- and nano- scale flow phenomena)
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Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11004082 and 11291240477), the Natural Science Foundation of Guangdong Province, China (Grant No. 2014A030313367), and the Fundamental Research Funds for the Central Universities, Jinan University (Grant No. 11614341). |
Corresponding Authors:
Wei-Rong Zhong
E-mail: wrzhong@hotmail.com
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Cite this article:
Pei-Rong Chen(陈沛荣), Zhi-Cheng Xu(徐志成), Yu Gu(古宇), Wei-Rong Zhong(钟伟荣) Collective diffusion in carbon nanotubes: Crossover between one dimension and three dimensions 2016 Chin. Phys. B 25 086601
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