Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/2468
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Type: | Journal article |
Title: | Minimal Brownian ratchet: an exactly solvable model |
Author: | Lee, Y. Allison, A. Abbott, D. Stanley, H. |
Citation: | Physical Review Letters, 2003; 91(22):220601-1-220601-4 |
Publisher: | American Physical Soc |
Issue Date: | 2003 |
ISSN: | 0031-9007 1079-7114 |
Statement of Responsibility: | Youngki Lee, Andrew Allison, Derek Abbott, and H. Eugene Stanley |
Abstract: | We develop an analytically solvable three-state discrete-time minimal Brownian ratchet (MBR), where the transition probabilities between states are asymmetric. By solving the master equations, we obtain the steady-state probabilities. Generally, the steady-state solution does not display detailed balance, giving rise to an induced directional motion in the MBR. For a reduced two-dimensional parameter space, we find the null curve on which the net current vanishes and detailed balance holds. A system on this curve is said to be balanced. On the null curve, an additional source of external random noise is introduced to show that a directional motion can be induced under the zero overall driving force. |
Rights: | ©2003 American Physical Society |
DOI: | 10.1103/PhysRevLett.91.220601 |
Published version: | http://dx.doi.org/10.1103/physrevlett.91.220601 |
Appears in Collections: | Aurora harvest 2 Electrical and Electronic Engineering publications |
Files in This Item:
File | Description | Size | Format | |
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hdl_2468.pdf | Published version | 143.86 kB | Adobe PDF | View/Open |
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