Abstract / Description of output
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 $X_r$ and the particle's velocity is reversed with probability $\eta$. The case $\eta = 1/2$ corresponds to position resetting and velocity randomization whereas $\eta =0$ corresponds to positiononly resetting. We show that, beginning from symmetric initial conditions, the stationary state does not depend on $\eta$ 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 the mean time to absorption is always less for velocity randomization than for positiononly resetting.
Original language  English 

Article number  475003 
Journal  Journal of Physics A: Mathematical and Theoretical 
Volume  51 
Early online date  10 Oct 2018 
DOIs  
Publication status  Published  30 Oct 2018 
Keywords / Materials (for Nontextual outputs)
 condmat.statmech
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Martin Evans
 School of Physics and Astronomy  Personal Chair in Statistical Physics
Person: Academic: Research Active