A "Burnt Bridge'' Brownian Ratchet

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dc.creatorAntal, T.
dc.creatorKrapivsky, P. L.
dc.date2005-04-26
dc.date.accessioned2026-07-07T06:25:18Z
dc.date.available2026-07-07T06:25:18Z
dc.descriptionMotivated 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.
dc.description11 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0504652
dc.identifierhttp://arxiv.org/abs/cond-mat/0504652
dc.identifierPhys. Rev. E 72, 046104 (2005)
dc.identifierdoi:10.1103/PhysRevE.72.046104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96798
dc.subjectStatistical Mechanics
dc.subjectBiomolecules
dc.titleA "Burnt Bridge'' Brownian Ratchet
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