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An internal ratchet model is established, in which a force-free system is coupled to a subsystem with asymmetric periodic structure, while the latter is in a thermal bath environment. The average velocities of particles driven by a periodic signal in two ways are calculated respectively. In comparison with the result of external ratchet with the same parameters, our results show that the maximum directional current of particles in internal ratchet is larger than that in external ratchet. Under the same temperature, the particles in the internal ratchet are more prone to directional movement.
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Keywords:
- directional transport /
- cascade coupling /
- internal ratchet /
- current increase
[1] Doering C R 1995 Nuovo Cimento 17 685
[2] Jülicher F, Ajdari A, Prost J 1997 Rev. Mod. Phys. 69 1269
[3] Astumian R D, Bier M 1994 Phys. Rev. Lett. 72 1766
[4] Magnasco M O 1993 Phys. Rev. Lett. 71 1477
[5] Astumian R D 1997 Science 276 917
[6] Lin F, Bao J D 2008 Acta Phys. Sin. 57 696 (in Chinese)[林 芳、 包景东 2008 物理学报 57 696]
[7] Reimann P 2002 Phys. Rep. 361 57
[8] Derényi I 2002 Appl. Phys. A 75 217
[9] Denisov S 2002 Phys. Lett. A 296 197
[10] Kumar K V, Ramaswamy S, Rao M 2008 Phys. Rev. E 77 020102
[11] Gehlen S V, Evstigneev M, Reimann P 2009 Phys. Rev. E 79 031114
[12] Klumpp S, Mielke A, Wald C 2001 Phys. Rev. E 63 031914
[13] Dialynas T E, Tsironis G P 1996 Phys. Lett. A 218 292
[14] Dialynas T E, Lindenberg K, Tsironis G P 1997 Phys. Rev. E 56 3976
[15] Wang H Y, Bao J D 2004 Physica A337 13
[16] Zhan Y, Bao J D, Zhuo Y Z, Wu X Z 1997 Acta Phys. Sin. 46 1880 (in Chinese) [展 永、包景东、卓益忠、吴锡真 1997 物理学报 46 1880]
[17] Montina A, Arecchi F T 2008 Phys. Rev. Lett. 100 120201
[18] Bao J D 2009 Stochastic Simulation Methods in Classical and Quantum Systems (Beijing:Science Press) (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)]
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[1] Doering C R 1995 Nuovo Cimento 17 685
[2] Jülicher F, Ajdari A, Prost J 1997 Rev. Mod. Phys. 69 1269
[3] Astumian R D, Bier M 1994 Phys. Rev. Lett. 72 1766
[4] Magnasco M O 1993 Phys. Rev. Lett. 71 1477
[5] Astumian R D 1997 Science 276 917
[6] Lin F, Bao J D 2008 Acta Phys. Sin. 57 696 (in Chinese)[林 芳、 包景东 2008 物理学报 57 696]
[7] Reimann P 2002 Phys. Rep. 361 57
[8] Derényi I 2002 Appl. Phys. A 75 217
[9] Denisov S 2002 Phys. Lett. A 296 197
[10] Kumar K V, Ramaswamy S, Rao M 2008 Phys. Rev. E 77 020102
[11] Gehlen S V, Evstigneev M, Reimann P 2009 Phys. Rev. E 79 031114
[12] Klumpp S, Mielke A, Wald C 2001 Phys. Rev. E 63 031914
[13] Dialynas T E, Tsironis G P 1996 Phys. Lett. A 218 292
[14] Dialynas T E, Lindenberg K, Tsironis G P 1997 Phys. Rev. E 56 3976
[15] Wang H Y, Bao J D 2004 Physica A337 13
[16] Zhan Y, Bao J D, Zhuo Y Z, Wu X Z 1997 Acta Phys. Sin. 46 1880 (in Chinese) [展 永、包景东、卓益忠、吴锡真 1997 物理学报 46 1880]
[17] Montina A, Arecchi F T 2008 Phys. Rev. Lett. 100 120201
[18] Bao J D 2009 Stochastic Simulation Methods in Classical and Quantum Systems (Beijing:Science Press) (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)]
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