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In this paper, we studiy the Feynman's ratchet and pawl heat engine in a one-dimensional lattice. The dynamics of the particle is described by a master equation. The expressions of the current, efficiency and power output of the heat engine are derived analytically. The influences of the height of barrier, external load force and the temperature ratio of the heat reservoirs on the efficiency of heat engine are discussed. When the steady-state current is zero, there is a nonzero heat flux transterred from the hot bath to the cold bath, which is similar to the heat leak of the irreversible Carnot model. The curve of the power output versus the efficiency is a loop-shaped one. The heat engine is irreversible and the efficiency is less than the Carnot efficiency. The heat engine can work in optimal operation by optimizing the performance parameters of the heat engine.
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Keywords:
- Feynmans ratchet and pawl /
- heat leak /
- thermodynamic performance /
- irreversible heat engine
[1] Büttiker M 1987 J. Phys. B 68 161
[2] van Kampen N G 1988 IBM J. Res. Dev. 32 107
[3] Landauer R 1988 J. Stat. Phys. 53 233
[4] Derényi I, Astumian R D 1999 Phys. Rev. E 59 R6219
[5] Hondou T, Sekimoto K 2000 Phys. Rev. E 62 6021
[6] Ai B Q, Xie H Z, Wen D H, Liu X M, Liu L G 2005 Eur. Phys. J. B 48 101
[7] Ai B Q, Wang L Q, Liu L G 2006 Phys. Lett. A 352 286
[8] Zhang Y, Lin B H, Chen J C 2006 Eur. Phys. J. B 53 481
[9] Lin B H, Chen J C 2009 J. Phys. A: Math. Theor. 42 075006
[10] Ding Z M, Chen L G, Sun F R 2010 Braz. J. Phys. 40 141
[11] Zhang Y P, He J Z 2010 Chin. Phys. Lett. 27 090502
[12] Zhang Y P, He J Z, Xiao Y L 2011 Chin. Phys. Lett. 28 100506
[13] Ding Z M, Chen L G, Sun F R 2010 Sci. China: Phys. Mech. Astron. 53 876 [丁泽民, 陈林根, 孙丰瑞 2010 中国科学: 物理学 力学 天文学 40 16]
[14] Gao T F, Zhang Y, Chen J C 2009 Chin. Phys. B 18 3279
[15] Sokolov I M, Blumen A 1997 J. Phys. A: Math. Gen. 30 3021
[16] Feynman R P, Leighton R B, Sands M 1966 The Feynman Lectures on Physics I (Reading MA: Addison-Wesley) 46.1-46.9
[17] Parrondo J M R, Español P 1996 Am. J. Phys. 64 1125
[18] Sekimoto K 1997 J. Phys. Soc. Jpn. 66 1234
[19] Velasco S, Roco J M M, Medina A, Calvo Hernández A 2001 J. Phys. D: Appl. Phys. 34 1000
[20] Tu Z C 2008 J. Phys. A: Math. Theor. 41 312003
[21] Jarzynski C, Mazonka O 1999 Phys. Rev. E 59 6448
[22] Asfaw M, Bekele M 2005 Phys. Rev. E 72 056109
[23] Zhang Y P, He J Z, He X, Xiao Y L 2010 Commun. Theor. Phys. 54 857
[24] Yan Z J, Chen J C 1990 J. Phys. D: Appl. Phys. 23 136
[25] Chen J C 1997 J. Phys. D: Appl. Phys. 30 582
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[1] Büttiker M 1987 J. Phys. B 68 161
[2] van Kampen N G 1988 IBM J. Res. Dev. 32 107
[3] Landauer R 1988 J. Stat. Phys. 53 233
[4] Derényi I, Astumian R D 1999 Phys. Rev. E 59 R6219
[5] Hondou T, Sekimoto K 2000 Phys. Rev. E 62 6021
[6] Ai B Q, Xie H Z, Wen D H, Liu X M, Liu L G 2005 Eur. Phys. J. B 48 101
[7] Ai B Q, Wang L Q, Liu L G 2006 Phys. Lett. A 352 286
[8] Zhang Y, Lin B H, Chen J C 2006 Eur. Phys. J. B 53 481
[9] Lin B H, Chen J C 2009 J. Phys. A: Math. Theor. 42 075006
[10] Ding Z M, Chen L G, Sun F R 2010 Braz. J. Phys. 40 141
[11] Zhang Y P, He J Z 2010 Chin. Phys. Lett. 27 090502
[12] Zhang Y P, He J Z, Xiao Y L 2011 Chin. Phys. Lett. 28 100506
[13] Ding Z M, Chen L G, Sun F R 2010 Sci. China: Phys. Mech. Astron. 53 876 [丁泽民, 陈林根, 孙丰瑞 2010 中国科学: 物理学 力学 天文学 40 16]
[14] Gao T F, Zhang Y, Chen J C 2009 Chin. Phys. B 18 3279
[15] Sokolov I M, Blumen A 1997 J. Phys. A: Math. Gen. 30 3021
[16] Feynman R P, Leighton R B, Sands M 1966 The Feynman Lectures on Physics I (Reading MA: Addison-Wesley) 46.1-46.9
[17] Parrondo J M R, Español P 1996 Am. J. Phys. 64 1125
[18] Sekimoto K 1997 J. Phys. Soc. Jpn. 66 1234
[19] Velasco S, Roco J M M, Medina A, Calvo Hernández A 2001 J. Phys. D: Appl. Phys. 34 1000
[20] Tu Z C 2008 J. Phys. A: Math. Theor. 41 312003
[21] Jarzynski C, Mazonka O 1999 Phys. Rev. E 59 6448
[22] Asfaw M, Bekele M 2005 Phys. Rev. E 72 056109
[23] Zhang Y P, He J Z, He X, Xiao Y L 2010 Commun. Theor. Phys. 54 857
[24] Yan Z J, Chen J C 1990 J. Phys. D: Appl. Phys. 23 136
[25] Chen J C 1997 J. Phys. D: Appl. Phys. 30 582
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