On Diffusion in Narrow Random Channels

Mark Freidlin, Wenqing Hu

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


We consider in this paper a solvable model for the motion of molecular motors. Based on the averaging principle, we reduce the problem to a diffusion process on a graph. We then calculate the effective speed of transportation of these motors.

Original languageEnglish (US)
Pages (from-to)136-158
Number of pages23
JournalJournal of Statistical Physics
Issue number1
StatePublished - Jul 1 2013


  • Averaging principle
  • Brownian motors/ratchets
  • Diffusion processes on graphs
  • Random environment

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