# Active Brownian motion in two-dimensions under stochastic resetting

#### Active Brownian motion in two-dimensions under stochastic resetting

- Event time: 11:30am until 12:30pm
- Event date: 13th January 2021
- Speaker: Dr Urna Basu (S. N. Bose National Centre for Basic Sciences, Kolkata, India.)
- Location: Online - see email.

### Event details

We study the position distribution of an active Brownian particle (ABP) in the presence of

stochastic resetting in two spatial dimensions. We consider three different resetting protocols : (I)

where both position and orientation of the particle are reset, (II) where only the position is reset,

and (III) where only the orientation is reset with a certain rate r. We show that in the first two cases

the ABP reaches a stationary state. Using a renewal approach, we calculate exactly the stationary

marginal position distributions in the limiting cases when the resetting rate r is much larger or

much smaller than the rotational diffusion constant D R of the ABP. We find that, in some cases,

for a large resetting rate, the position distribution diverges near the resetting point; the nature of

the divergence depends on the specific protocol. For the orientation resetting, there is no stationary

state, but the motion changes from a ballistic one at short-times to a diffusive one at late times.

We characterize the short-time non-Gaussian marginal position distributions using a perturbative

approach.

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