A "Burnt Bridge'' Brownian Ratchet

Details A "Burnt Bridge'' Brownian Ratchet A "Burnt Bridge'' Brownian Ratchet

2005-04-26

arxiv.org/abs/cond-mat/0504652v1

Phys. Rev. E 72, 046104 (2005)

Physics

Condensed Matter

Statistical Mechanics

11 pages, 7 figures

Scientific paper

10.1103/PhysRevE.72.046104

Motivated by a biased diffusion of molecular motors with the bias dependent on the state of the substrate, we investigate a random walk on a one-dimensional lattice that contains weak links (called "bridges'') which are affected by the walker. Namely, a bridge is destroyed with probability p when the walker crosses it; the walker is not allowed to cross it again and this leads to a directed motion. The velocity of the walker is determined analytically for equidistant bridges. The special case of p=1 is more tractable -- both the velocity and the diffusion constant are calculated for uncorrelated locations of bridges, including periodic and random distributions.

Affiliated with

Also associated with

No associations

Rating

A "Burnt Bridge'' Brownian Ratchet does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A "Burnt Bridge'' Brownian Ratchet, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A "Burnt Bridge'' Brownian Ratchet will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-199014