The Onsager reciprocity relation and generalized efficiency of a thermal Brownian motor |
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Authors: | Gao Tian-Fu Zhang Yue and Chen Jin-Can |
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Institution: | Department of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005, China; College of Information Science and Engineering, Huaqiao University, Quanzhou 362021, China |
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Abstract: | Based on a general model of Brownian motors, the Onsager
coefficients and generalized efficiency of a thermal Brownian motor
are calculated analytically. It is found that the Onsager
reciprocity relation holds and the Onsager coefficients are not
affected by the kinetic energy change due to the particle's motion.
Only when the heat leak in the system is negligible can the
determinant of the Onsager matrix vanish. Moreover, the influence of
the main parameters characterizing the model on the generalized
efficiency of the Brownian motor is discussed in detail. The
characteristic curves of the generalized efficiency varying with
these parameters are presented, and the maximum generalized
efficiency and the corresponding optimum parameters are determined.
The results obtained here are of general significance. They are used
to analyze the performance characteristics of the Brownian motors
operating in the three interesting cases with zero heat leak,
zero average drift velocity or a linear response relation, so that
some important conclusions in current references are directly
included in some limit cases of the present paper. |
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Keywords: | Brownian motor Onsager
coefficient generalized efficiency performance characteristic |
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