|
| | | | |
| | | |
| Stat |
Members: 3665
Articles: 2'599'751
Articles rated: 2609
18 January 2025 |
|
| | | | |
|
Article overview
| |
|
|
Analytical Solution to Transport in Brownian Ratchets via Gambler's Ruin Model | | X. Z. Cheng
; M. B. A. Jalil
; Hwee Kuan Lee
; | | Date: |
21 Jan 2007 | | Subject: | Statistical Mechanics | | Abstract: | We present an analogy between the classic Gambler’s Ruin problem and the thermally-activated dynamics in periodic Brownian ratchets. By considering each periodic unit of the ratchet as a site chain, we calculated the transition probabilities and mean first passage time for transitions between energy minima of adjacent units. We consider the specific case of Brownian ratchets driven by Markov dichotomous noise. The explicit solution for the current is derived for any arbitrary temperature, and is verified numerically by Langevin simulations. The conditions for vanishing current and current reversal in the ratchet are obtained and discussed. | | Source: | arXiv, cond-mat/0701505 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|
REGISTER