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A transport model of elastically coupled particles in a two-dimensional potential is investigated. Here, we propose that one dimension of the model is exerted by an AC drive and an external noise, and the other dimension by neither AC drive nor external noise. The effects of system and external parameters on the directed current under an overdamped case are discussed. The studies show that particles can transfer energy from one direction to its perpendicular direction through coupling, thereby producing a directed current. There is an optimal value of the spring free length or the coupling intensity at which the directed current can reach a maximum. For a fixed coupling intensity or noise intensity, the directed current will oscillate as the free length of spring varies, that is, multiple peaks appear. Moreover, a stochastic resonance appears in the directed current as noise intensity varies. Finally, when the degree of asymmetry of the ratchet potential achieves a maximum value, the current reversion takes place.
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Keywords:
- elastic coupling /
- directed transport /
- stochastic resonance /
- current reversion
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[2] Asbury C L, Fehr A N, Block S M 2003 Science 302 2130
[3] Coy D L, Wagenbach M, Howard J 1999 J. Biol. Chem. 274 3667
[4] Zheng Z G 2004 Spatiotemporal Dynamics and Collective Behaviors in Coupled Nonlinear Systems (Beijing: Higher Education Press) p278 (in Chinese) [郑志刚 2004 耦合非线性系统的时空动力学与合作行为 (北京: 高等教育出版社) 第278页]
[5] Bai W S M, Peng H, Tu Z, Ma H 2012 Acta Phys. Sin. 61 210501 (in Chinese) [白文斯密, 彭皓, 屠浙, 马洪 2012 物理学报 61 210501]
[6] Bao J D 2009 Stochastic Simulation Method of Classic and Quantum Dissipative Sysmtem (Beijing: Science Press) p160 (in Chinese) [包景东 2009 经典和量子耗散系统的随机模拟方法 (北京: 科学出版社) 第160页]
[7] Gehlen S V, Evstigneev M, Reimann P 2009 Phys. Rev. E 79 031114
[8] Astumian R D 1997 Science 176 917
[9] Li W, Guo H Y, Ji Q, Zhan Y, Zhao T J 2004 Acta Phys. Sin. 53 3684 (in Chinese) [李微, 郭鸿涌, 纪青, 展永, 赵同军 2004 物理学报 53 3684]
[10] Shubeita G T, Tran S L, Xu J, Vershinin M, Cermelli S, Cotton S L, Welte M A, Gross S P 2008 Cell 135 1098
[11] Mallik R, Petrov D, Lex S A, King S J, Gross S P 2005 Curr Biol. 15 2075
[12] Hill D B, Plaza M J, Bonin K, Holzwarth G 2004 Eur Biophys J. 33 623
[13] Wang F, Deng C, Tu Z, Ma H 2013 Acta Phys. Sin. 62 040501(in Chinese) [王飞, 邓翠, 屠浙, 马洪 2013 物理学报 62 040501]
[14] Wang L F, Gao T F, Huang R Z, Zheng Y X 2013 Acta Phys. Sin. 62 070502 (in Chinese) [王莉芳, 高天附, 黄仁忠, 郑玉祥 2013 物理学报 62 070502]
[15] Zheng Z G, Liu F Z, Gao J 2003 Chin. Phys. 12 846
[16] Zhang H W, Wen S T, Chen G R, Li Y X, Cao Z X, Li W 2012 Chin. Phys. B 21 038701
[17] Xie P, Dou S X, Wang P Y 2004 Chin. Phys. 13 1569
[18] Avik W G, Sanjay V K 2000 Phys. Rev. Lett. 84 5243
[19] Bao J D, Zhuo Y Z 1998 Phys. Lett. A 239 228
[20] Chen H B 2006 The Cooperative Transport in Deterministic Ratchets (Beijing: Beijing Normal University) [陈宏斌 2006 博士学位论文 (北京: 北京师范大学)]
[21] Zheng Z G, Chen H B 2010 Europhys. Lett. 92 30004
[22] Schott D H, Collins R N, Bretscher A 2002 J. Cell Biol. 156 35
[23] Sakamoto T, Yildiz A, Selvin P R, Sellers J R 2005 Biochemistry 44 16203
[24] Zhou C, Kurths J, Hu B 2001 Phys. Rev. Lett. 87 098101
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[1] Schnitzer M J, Block S M 1997 Nature 388 386
[2] Asbury C L, Fehr A N, Block S M 2003 Science 302 2130
[3] Coy D L, Wagenbach M, Howard J 1999 J. Biol. Chem. 274 3667
[4] Zheng Z G 2004 Spatiotemporal Dynamics and Collective Behaviors in Coupled Nonlinear Systems (Beijing: Higher Education Press) p278 (in Chinese) [郑志刚 2004 耦合非线性系统的时空动力学与合作行为 (北京: 高等教育出版社) 第278页]
[5] Bai W S M, Peng H, Tu Z, Ma H 2012 Acta Phys. Sin. 61 210501 (in Chinese) [白文斯密, 彭皓, 屠浙, 马洪 2012 物理学报 61 210501]
[6] Bao J D 2009 Stochastic Simulation Method of Classic and Quantum Dissipative Sysmtem (Beijing: Science Press) p160 (in Chinese) [包景东 2009 经典和量子耗散系统的随机模拟方法 (北京: 科学出版社) 第160页]
[7] Gehlen S V, Evstigneev M, Reimann P 2009 Phys. Rev. E 79 031114
[8] Astumian R D 1997 Science 176 917
[9] Li W, Guo H Y, Ji Q, Zhan Y, Zhao T J 2004 Acta Phys. Sin. 53 3684 (in Chinese) [李微, 郭鸿涌, 纪青, 展永, 赵同军 2004 物理学报 53 3684]
[10] Shubeita G T, Tran S L, Xu J, Vershinin M, Cermelli S, Cotton S L, Welte M A, Gross S P 2008 Cell 135 1098
[11] Mallik R, Petrov D, Lex S A, King S J, Gross S P 2005 Curr Biol. 15 2075
[12] Hill D B, Plaza M J, Bonin K, Holzwarth G 2004 Eur Biophys J. 33 623
[13] Wang F, Deng C, Tu Z, Ma H 2013 Acta Phys. Sin. 62 040501(in Chinese) [王飞, 邓翠, 屠浙, 马洪 2013 物理学报 62 040501]
[14] Wang L F, Gao T F, Huang R Z, Zheng Y X 2013 Acta Phys. Sin. 62 070502 (in Chinese) [王莉芳, 高天附, 黄仁忠, 郑玉祥 2013 物理学报 62 070502]
[15] Zheng Z G, Liu F Z, Gao J 2003 Chin. Phys. 12 846
[16] Zhang H W, Wen S T, Chen G R, Li Y X, Cao Z X, Li W 2012 Chin. Phys. B 21 038701
[17] Xie P, Dou S X, Wang P Y 2004 Chin. Phys. 13 1569
[18] Avik W G, Sanjay V K 2000 Phys. Rev. Lett. 84 5243
[19] Bao J D, Zhuo Y Z 1998 Phys. Lett. A 239 228
[20] Chen H B 2006 The Cooperative Transport in Deterministic Ratchets (Beijing: Beijing Normal University) [陈宏斌 2006 博士学位论文 (北京: 北京师范大学)]
[21] Zheng Z G, Chen H B 2010 Europhys. Lett. 92 30004
[22] Schott D H, Collins R N, Bretscher A 2002 J. Cell Biol. 156 35
[23] Sakamoto T, Yildiz A, Selvin P R, Sellers J R 2005 Biochemistry 44 16203
[24] Zhou C, Kurths J, Hu B 2001 Phys. Rev. Lett. 87 098101
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