Numerical Study on the Generalized Second Law for a Brownian Particle under the Linear Feedback Control
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概要
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The second law of thermodynamics can be written by means of an inequality between the work done to the system and the change in its Helmholtz free energy during an isothermal process. The work is minimized and the inequality becomes the equality when the process is quasistatic. It is known that, under a feedback control, the inequality is modified to contain a quantity representing information content in the measurement associated with the control. In this study, we numerically investigate a model, where a Brownian particle is shifted in one dimension by means of the harmonic potential under the linear feedback loop designed so that the average work is decreased as much as possible. The average work under the optimal control depends on the sensor noise, the process duration time, and other factors. It is shown that, when we decrease the average work by changing a factor, other than the particle friction, the inequality does not approach the equality significantly.
- 2012-08-15
著者
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FUJITANI Youhei
School of Fundamental Science & Technology, Keio University
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Suzuki Hiroyuki
School Of Engineering The University Of Tokyo
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Suzuki Hiroyuki
School of Fundamental Science and Technology, Keio University, Yokohama 223-8522, Japan
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