Based on the master equation describing the particles jump among barriers, the expressions of current, efficiency and power output of the heat engine are derived analytically. The general performance characteristic curves are plotted from the numerical calculation. It is found that the power output-efficiency curve is a loop-shaped one which is similar to the one for a real irreversible heat engine. When the heat flow via the kinetic energy is neglected, the power output-efficiency curve is an open-shaped one which is similar to the one for an endroeversible heat engine.
Based on the master equation describing the particles jump among barriers, the expressions of current, efficiency and power output of the heat engine are derived analytically. The general performance characteristic curves are plotted from the numerical calculation. It is found that the power output-efficiency curve is a loop-shaped one which is similar to the one for a real irreversible heat engine. When the heat flow via the kinetic energy is neglected, the power output-efficiency curve is an open-shaped one which is similar to the one for an endroeversible heat engine.
ZHANG Yan-Ping;HE Ji-Zhou. Thermodynamic Performance Characteristics of an Irreversible Micro-Brownian Heat Engine Driven by Temperature Difference[J]. 中国物理快报, 2010, 27(9): 90502-090502.
ZHANG Yan-Ping, HE Ji-Zhou. Thermodynamic Performance Characteristics of an Irreversible Micro-Brownian Heat Engine Driven by Temperature Difference. Chin. Phys. Lett., 2010, 27(9): 90502-090502.
[1] Astumian R D and Hänggi P 2002 Phys. Today 55 33 [2] Reimann P 2002 Phys. Rep. 361 57 [3] Parrondo J M R and de Cisneros B J 2002 Appl. Phys. A 75 179 [4] Rousselet J, Salome L, Adiari A and Prost J 1994 Nature 370 446 [5] Parrondo J M R, Blanco J M, Cao F J and Brto R 1998 Europhys. Lett. 43 248 [6] Dinis L, Parrondo J M R and Cao F J 2005 Europhys. Lett. 71 536 [7] Mateos J L 2000 Phys. Rev. Lett. 84 258 [8] Marcelo M O 1993 Phys. Rev. Lett. 71 1477 [9] Savelev S, Marchesoni F, Hanggi P and Nori F 2004 Europhys. Lett. 67 179 [10] Büttiker M 1987 J. Phys. B 68 161 [11] Van Kampen N G 1988 IBM J. Res. Dev. 32 107 [12] Landauer R 1988 J. Stat. Phys. 53 233 [13] Derényi I and Astumian R D 1999 Phys. Rev. E 59 R6219 [14] Derényi I, Bier M and Astumian R D 1999 Phys. Rev. Lett. 83 903 [15] Velasco S, Roco J M M, Medina A and Hernandez A C 2001 J. Phys. D 34 1000 [16] Benjamin R and Kawai R 2008 Phys. Rev. E 77 051132 [17] Ai B Q, Wang L Q and Liu L G 2006 Phys. Lett. A 352 286 [18] Ai B Q, Xie H Z, Wen D H, Liu X M and Liu L G 2005 Eur. Phys. J. B 48 101 [19] Zhang Y, Lin B H and Chen J C 2006 Eur. Phys. J. B 53 481 [20] Lin B H and Chen J C 2009 J. Phys. A: Math. Theor. 42 075006 [21] Hondou T and Sekimoto K 2000 Phys. Rev. E 62 6021 [22] Sokolov I M and Blumen A 1997 J. Phys. A: Math. Gen. 30 3021 [23] Metropolis N et al 1953 J. Chem. Phys. 21 1087 [24] Gordon J M and Huleihil M 1992 J. Appl. Phys. 72 829 [25] Curzon F L and Ahlborn B 1975 Am. J. Phys. 43 22 [26] Salamon P, Nulton J D, Siragusa G, Andersen T R and Limon A 2001 Energy 26 307