Run and tumble particle under resetting: a renewal approach

We consider a particle undergoing run and tumble dynamics, in which its velocity stochastically reverses, in one dimension. We study the addition of a Poissonian resetting process occurring with rate r. At a reset event the particle’s position is returned to the resetting site Xr and the particle’s velocity is reversed with probability η. The case corresponds to position resetting and velocity randomization whereas corresponds to position-only resetting. We show that, beginning from symmetric initial conditions, the stationary state does not depend on η i.e. it is independent of the velocity resetting protocol. However, in the presence of an absorbing boundary at the origin, the survival probability and mean time to absorption do depend on the velocity resetting protocol. Using a renewal equation approach, we show that the mean time to absorption is always less for velocity randomization than for position-only resetting.

• Publication year

  2018

• Venue

  Journal of Physics A: Mathematical and Theoretical

• Publication date

  2018-08-20

• Fields of study

  Mathematics, Physics, Computer Science

• Identifiers
  DOI 10.1088/1751-8121/aae74earXiv 1808.06450
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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