| Summary: | 碩士 === 國立成功大學 === 工程科學系碩博士班 === 96 === Biological motors are examples of systems at the interface between the microscopic and macroscopic world. The motion of these molecular machines is dominated not by inertia and acceleration in response to a macroscopic force, but by very large viscosity and by random Brownian forces arising from collisions with the molecules of the medium. On the other hand, the release of energy by a biochemical process such as ATP hydrolysis allows Brownian motion to be rectified.
In order to make Brownian motors produce motion in one direction, This paper uses the coupling model of Rocking ratchet and flashing ratchet to simulate the movement situation of Brownian motors.
The Fokker-Planck equation is the governing equation in this paper, using continuous Markov process to describe a jump process and the jump rates to request the property of Brownian motion.
This paper used MATLAB 7.0 to calculate the equations above, to analyze the two states transition, and plus period potential with external force. To discuss the velocity and efficiency of Brownian motions.
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