Time-delayed feedback control of diffusion in random walkers

Hiroyasu Ando, Kohta Takehara, Miki U. Kobayashi

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


Time delay in general leads to instability in some systems, while specific feedback with delay can control fluctuated motion in nonlinear deterministic systems to a stable state. In this paper, we consider a stochastic process, i.e., a random walk, and observe its diffusion phenomenon with time-delayed feedback. As a result, the diffusion coefficient decreases with increasing delay time. We analytically illustrate this suppression of diffusion by using stochastic delay differential equations and justify the feasibility of this suppression by applying time-delayed feedback to a molecular dynamics model.

Original languageEnglish
Article number012148
JournalPhysical Review E
Issue number1
Publication statusPublished - 2017 Jul 25
Externally publishedYes

ASJC Scopus subject areas

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


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