Diffusion enhancement of Brownian motors revealed by a solvable model

Ryo Kanada, Ryota Shinagawa, Kazuo Sasaki

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


A solvable model is proposed and analyzed to reveal the mechanism underlying the diffusion enhancement recently reported for a model of molecular motors and predicted to be observed in the biological rotary motor F1-ATPase. It turns out that the diffusion enhancement for the present model can approximately be described by a random walk in which the waiting time for a step to occur is exponentially distributed and it takes nonzero time to proceed forward by the step. It is shown that the diffusion coefficient of such a random walk can significantly be increased when the average waiting time is comparable to the average stepping time.

Original languageEnglish
Article number062110
JournalPhysical Review E
Issue number6
Publication statusPublished - 2018 Dec 7

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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