-
Abstract
A Brownian microscopic heat engine, driven by temperature difference and consisting of a Brownian particle moving in a sawtooth potential with an external load, is investigated. The heat flows, driven by both potential and kinetic energies, are taken into account. Based on the master equation, the expressions for efficiency and power output are derived analytically, and performance characteristic curves are plotted. It is shown that the heat flow via the kinetic energy of the particle decreases. The efficiency of the engine is enhanced, but the power output reduces as the α shape parameter of the sawtooth potential increases. The influence of the α shape parameter on efficiency and power output is then analyzed in detail. -
References
[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] Büttiker M 1987 Z. Phys. B 68 161 [5] Van Kampen N G 1988 IBM J. Res. Dev. 32 107 [6] Landauer R 1988 J. Stat. Phys. 53 233 [7] Derényi I, Bier M and Astumian R D 1999 Phys. Rev. Lett. 83 903 [8] Derényi I and Astumian R D 1999 Phys. Rev. E 59 R6219 [9] Velasco S, Roco J M M, Medina A and Hernandez A C 2001 J. Phys. D 34 1000 [10] Benjamin R and Kawai R 2008 Phys. Rev. E 77 051132 [11] Asfaw M 2008 Eur. Phys. J. B 65 109 [12] Asfaw M and Bekele M 2007 Physica A 384 346 [13] Asfaw M and Bekele M 2005 Phys. Rev. E 72 056109 [14] Ai B Q Wang L and Liu L G 2006 Phys. Lett. A 352 286 [15] Ai B Q, Xie H Z, Wen D H Liu X M and Liu L G 2005 Eur. Phys. J. B 48 101 [16] Zhang Y Lin B H and Chen J C 2006 Eur. Phys. J. B 53 481 [17] Lin B H and Chen J C 2009 J. Phys. A: Math. Theor. 42 075006 [18] Hondou T and Sekimoto K 2000 Phys. Rev. E 62 6021 [19] Sokolov I M and Blumen A 1999 J. Phys. A: Math. Gen. 30 3021 [20] Berger F, Schmiedl T and Seifert U 2009 Phys. Rev. E 79 031118 [21] Kyung H Kand Hong Q 2007 Phys. Rev. E 75 022102 [22] Zhang Y P, He J Z, He X and Xiao Y L 2010 Comm. Theor. Phys. 54 857 [23] Zhang Y P, He J Z, Ouyang H and Qian X X 2010 Physica Scripta 82 055005 [24] Zhang Y P and He J Z 2010 Chin. Phys. Lett. 27 090502 [25] Benjamin R 2009 arXiv:0907.0829v1 [26] Metropolis N, Rosenbluth A W and Rosenbluth M N 1953 J. Chem. Phys. 21 1087
-
Related Articles
[1] X. F. Liu, Y. F. Fu, W. Q. Yu, J. F. Yu, Z. Y. Xie. Variational Corner Transfer Matrix Renormalization Group Method for Classical Statistical Models [J]. Chin. Phys. Lett., 2022, 39(6): 067502. doi: 10.1088/0256-307X/39/6/067502 [2] TU Tao, WANG Lin-Jun, HAO Xiao-Jie, GUO Guang-Can, GUO Guo-Ping. Renormalization Group Method for Soliton Evolution in a Perturbed KdV Equation [J]. Chin. Phys. Lett., 2009, 26(6): 060501. doi: 10.1088/0256-307X/26/6/060501 [3] LIU Zheng-Feng, WANG Xiao-Hong. Derivation of a Nonlinear Reynolds Stress Model Using Renormalization Group Analysis and Two-Scale Expansion Technique [J]. Chin. Phys. Lett., 2008, 25(2): 604-607. [4] LIN Ming-Xi, QI Sheng-Wen, LIU Yu-Liang. Influence of Gauge Fluctuation on Electron Pairing Order Parameter and Correlation Functions of a Two-Dimensional System [J]. Chin. Phys. Lett., 2006, 23(11): 3076-3079. [5] WU Xin-Tian. Two-Dimensional Saddle Point Equation of Ginzburg--Landau Hamiltonian for the Diluted Ising Model [J]. Chin. Phys. Lett., 2006, 23(2): 305-308. [6] SONG Bo, WANG Yu-Peng. The Green Function Approach to the Two-Dimensional t-J model [J]. Chin. Phys. Lett., 2003, 20(2): 287-289. [7] SUN Gang, CHU Qian-Jin. Phase Diagram of the 2-Dimensional Ising Model with DipolarInteraction [J]. Chin. Phys. Lett., 2001, 18(4): 491-494. [8] YAN Xiao-hong, ZHANG Li-de, DUAN Zhu-ping, YANG Qi-bin. Renormalization Group Approach on Nanostructured Systems [J]. Chin. Phys. Lett., 1997, 14(4): 291-294. [9] YAN Xiaohong, YOU Jianqiang, YAN Jiaren, ZHONG Jianxin. Renormalization Group on the Aperiodic Hamiltonian [J]. Chin. Phys. Lett., 1992, 9(11): 623-625. [10] TAN Weichao, YANG Chuliang. RENORMALIZATION GROUP METHOD FOR CALCULATING THE LOCALIZATION LENGTH OF COUPLED DISORDERED CHAINS [J]. Chin. Phys. Lett., 1989, 6(5): 213-216.
Impact Factor 2023: 3.5 | CiteScore 2023: 5.9 | Time to First Decision: 28 days
DownLoad: