@article{Walter:2021:10.1103/PhysRevResearch.3.013075,
author = {Walter, B and Pruessner, G and Salbreux, G},
doi = {10.1103/PhysRevResearch.3.013075},
journal = {Physical Review Research},
pages = {013075 1--013075 22},
title = {First passage time distribution of active thermal particles in potentials},
url = {http://dx.doi.org/10.1103/PhysRevResearch.3.013075},
volume = {3},
year = {2021}
}
TY - JOUR
AB - We introduce a perturbative method to calculate all moments of thefirst-passage time distribution in stochastic one-dimensional processes whichare subject to both white and coloured noise. This class of non-Markovianprocesses is at the centre of the study of thermal active matter, that isself-propelled particles subject to diffusion. The perturbation theory aboutthe Markov process considers the effect of self-propulsion to be small comparedto that of thermal fluctuations. To illustrate our method, we apply it to thecase of active thermal particles (i) in a harmonic trap (ii) on a ring. Forboth we calculate the first-order correction of the moment-generating functionof first-passage times, and thus to all its moments. Our analytical results arecompared to numerics.
AU - Walter,B
AU - Pruessner,G
AU - Salbreux,G
DO - 10.1103/PhysRevResearch.3.013075
EP - 1
PY - 2021///
SN - 2643-1564
SP - 013075
TI - First passage time distribution of active thermal particles in potentials
T2 - Physical Review Research
UR - http://dx.doi.org/10.1103/PhysRevResearch.3.013075
UR - http://arxiv.org/abs/2006.00116v1
UR - https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.3.013075
UR - http://hdl.handle.net/10044/1/85832
VL - 3
ER -