Particle Transport with Asymmetric Unbiased Forces and Entropic Barrier
XIE Hui-Zhang1,2, AI Bao-Quan3, LIU Xue-Mei1,2, CHENG Xiao-Bo1, LIU Liang-Gang4, LI Zhi-Bing1
1Department of Physics, Zhongshan University, Guangzhou 5102752School of Physics, South China University of Technology, Guangzhou 5106413School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 5106314Faculty of Information Technology, Macau University of Science and Technology, Macau
Particle Transport with Asymmetric Unbiased Forces and Entropic Barrier
1Department of Physics, Zhongshan University, Guangzhou 5102752School of Physics, South China University of Technology, Guangzhou 5106413School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 5106314Faculty of Information Technology, Macau University of Science and Technology, Macau
摘要Transport of a Brownian particle moving along the axis of a three-dimensional (3D) symmetric and periodic tube is investigated in the presence of asymmetric unbiased forces. It is found that in the presence of entropic barrier, the asymmetry of the unbiased forces is a way of inducing a net particle current. The particle current is a peaked function of temperature, which indicates that the thermal noise may facilitate the transport even in the presence of entropic barrier. There exists an optimized radius at the bottleneck at which the particle current takes its maximum value. The current can be influenced by the slope of tube walls and there exists an optimized slope for which the particle current takes its maximum value.
Abstract:Transport of a Brownian particle moving along the axis of a three-dimensional (3D) symmetric and periodic tube is investigated in the presence of asymmetric unbiased forces. It is found that in the presence of entropic barrier, the asymmetry of the unbiased forces is a way of inducing a net particle current. The particle current is a peaked function of temperature, which indicates that the thermal noise may facilitate the transport even in the presence of entropic barrier. There exists an optimized radius at the bottleneck at which the particle current takes its maximum value. The current can be influenced by the slope of tube walls and there exists an optimized slope for which the particle current takes its maximum value.
XIE Hui-Zhang;AI Bao-Quan;LIU Xue-Mei;CHENG Xiao-Bo;LIU Liang-Gang;LI Zhi-Bing. Particle Transport with Asymmetric Unbiased Forces and Entropic Barrier[J]. 中国物理快报, 2007, 24(12): 3340-3343.
XIE Hui-Zhang, AI Bao-Quan, LIU Xue-Mei, CHENG Xiao-Bo, LIU Liang-Gang, LI Zhi-Bing. Particle Transport with Asymmetric Unbiased Forces and Entropic Barrier. Chin. Phys. Lett., 2007, 24(12): 3340-3343.
[1]Mateos J L 2000 Phys. Rev. Lett. 84 258 [2] Astumian R D and Hanggi P 2002 Phys. Today 5533 [3] Hanggi P, Marchesoni F and Nori F 2005 Ann. Phys. 14 51 [4] Ai B Q, Xie H Z and Liu L G 2005 Chin. Phys. Lett. 22 2772 [5] Ai B Q, Liu G T, Xie H Z and Liu L G 2004 Chaos 14 957 [6] Astumian R D and Derenyi I 1998 Eur. Biophys. J.27 474 [7] Daly C and Krim J 1996 Phys. Rev. Lett. 76 803 [8] Derenyi I, Lee C and Barabasi A L 1998 Phys. Rev.Lett. 80 1473 [9] Zapata I, Bartussek R, Sols F and Hanggi P 1996 Phys.Rev. Lett. 77 2292 [10] Reguera D and Rubi J M 2001 Phys. Rev. E 64061106 [11] Reguera D, Dchmid G, Burada P S, Rubi J M, Reimann P andHanggi P 2006 Phys. Rev. Lett. 96 130603 [12] Ai B Q and Liu L G 2007 Phys. Rev. E (in press) [13] Zwanzig R 1992 J. Phys. Chem. 96 3926 [14] Huang J D, Brady S T, Richards B W, Stenolen D, Resau JH, Copeland N G and Jenkins N A 1999 Nature 397 204 [15] Gates P, Cooper K, Rae J and Eisenberg R 1990 Prog.Biophys. Mol. Biol. 53 153 [16] Fixman M 1978 J. Chem. Phys. 69 1527