Minimal Brownian ratchet: an exactly solvable model.
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.
Lee
Youngki
Y
Yanbian University of Science & Technology, Beishan St. Yanji, Jilin 133000, China.
Allison
Andrew
A
Abbott
Derek
D
Stanley
H Eugene
HE